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Steel.ST.Effect.Ghost.STGhost
val ununion_field_and_drop (#opened: _) (#tn #tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened ((has_union_field r field r') `star` (pts_to r' v')) (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v')))
[ { "abbrev": true, "full_module": "Steel.FractionalPermission", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.C.Typestring", "short_module": null }, { "abbrev": false, "full_module": "Steel.ST.C.Types.Fields", "short_module": null }, { "abbrev": false, "full_module": "Steel.ST.Util", "short_module": null }, { "abbrev": false, "full_module": "Steel.ST.C.Types", "short_module": null }, { "abbrev": false, "full_module": "Steel.ST.C.Types", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let ununion_field_and_drop (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened (has_union_field r field r' `star` pts_to r' v') (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v')) ) = let res = ununion_field r field r' in drop (has_union_field _ _ _); res
val ununion_field_and_drop (#opened: _) (#tn #tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened ((has_union_field r field r') `star` (pts_to r' v')) (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v'))) let ununion_field_and_drop (#opened: _) (#tn #tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened ((has_union_field r field r') `star` (pts_to r' v')) (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v'))) =
true
null
false
let res = ununion_field r field r' in drop (has_union_field _ _ _); res
{ "checked_file": "Steel.ST.C.Types.Union.fsti.checked", "dependencies": [ "Steel.ST.Util.fsti.checked", "Steel.ST.C.Types.Fields.fsti.checked", "Steel.FractionalPermission.fst.checked", "Steel.C.Typestring.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Ghost.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "Steel.ST.C.Types.Union.fsti" }
[]
[ "Steel.Memory.inames", "Prims.string", "Steel.ST.C.Types.Fields.field_description_t", "Steel.ST.C.Types.Base.ref", "Steel.ST.C.Types.Union.union_t0", "Steel.ST.C.Types.Union.union0", "Steel.ST.C.Types.Fields.field_t", "Steel.ST.C.Types.Base.typedef", "FStar.Ghost.erased", "Prims.unit", "Steel.ST.Util.drop", "Steel.ST.C.Types.Union.has_union_field", "Steel.ST.C.Types.Union.ununion_field", "Steel.Effect.Common.star", "Steel.ST.C.Types.Base.pts_to", "Steel.Effect.Common.vprop", "Prims.l_True", "Prims.l_and", "Prims.eq2", "Steel.ST.C.Types.Fields.__proj__Mkfield_description_t__item__fd_type", "Steel.ST.C.Types.Fields.__proj__Mkfield_description_t__item__fd_typedef", "FStar.Ghost.reveal", "Steel.ST.C.Types.Union.union_set_field", "FStar.Pervasives.coerce_eq" ]
[]
module Steel.ST.C.Types.Union open Steel.ST.Util include Steel.ST.C.Types.Fields open Steel.C.Typestring module P = Steel.FractionalPermission [@@noextract_to "krml"] // primitive val define_union0 (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) : Tot Type0 inline_for_extraction [@@noextract_to "krml"] let define_union (n: string) (#tf: Type0) (#tn: Type0) (#[solve_mk_string_t ()] prf: squash (norm norm_typestring (mk_string_t n == tn))) (fields: field_description_t tf) : Tot Type0 = define_union0 tn #tf n fields // To be extracted as: union t [@@noextract_to "krml"] // primitive val union_t0 (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) : Tot Type0 inline_for_extraction [@@noextract_to "krml"] let union_t (#tf: Type0) (n: string) (#tn: Type0) (# [solve_mk_string_t ()] prf: squash (norm norm_typestring (mk_string_t n == tn))) (fields: field_description_t tf) : Tot Type0 = union_t0 tn #tf n fields val union_set_field (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) (f: field_t fields) (v: fields.fd_type f) : GTot (union_t0 tn n fields) val union_get_case (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (u: union_t0 tn n fields) : GTot (option (field_t fields)) val union_get_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (u: union_t0 tn n fields) (field: field_t fields) : Ghost (fields.fd_type field) (requires (union_get_case u == Some field)) (ensures (fun _ -> True)) val union_get_field_same (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) (field: field_t fields) (v: fields.fd_type field) : Lemma (requires (~ (v == unknown (fields.fd_typedef field)))) (ensures ( let u = union_set_field tn n fields field v in union_get_case u == Some field /\ union_get_field u field == v )) [SMTPatOr [ [SMTPat (union_get_case (union_set_field tn n fields field v))]; [SMTPat (union_get_field (union_set_field tn n fields field v) field)]; ]] val union_set_field_same (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (s: union_t0 tn n fields) (field: field_t fields) : Lemma (requires (union_get_case s == Some field)) (ensures ( union_set_field tn n fields field (union_get_field s field) == s )) [SMTPat (union_set_field tn n fields (union_get_field s field))] [@@noextract_to "krml"] // proof-only val union0 (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) : Tot (typedef (union_t0 tn n fields)) inline_for_extraction [@@noextract_to "krml"; norm_field_attr] // proof-only let union (#tf: Type0) (n: string) (#tn: Type0) (# [solve_mk_string_t ()] prf: squash (norm norm_typestring (mk_string_t n == tn))) (fields: field_description_t tf) : Tot (typedef (union_t0 tn n fields)) = union0 tn #tf n fields val union_get_case_unknown (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) : Lemma (union_get_case (unknown (union0 tn n fields)) == None) [SMTPat (unknown (union0 tn n fields))] val union_set_field_unknown (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) (field: field_t fields) : Lemma (union_set_field tn n fields field (unknown (fields.fd_typedef field)) == unknown (union0 tn n fields)) [SMTPat (union_set_field tn n fields field (unknown (fields.fd_typedef field)))] val union_get_case_uninitialized (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) : Lemma (union_get_case (uninitialized (union0 tn n fields)) == None) [SMTPat (uninitialized (union0 tn n fields))] val mk_fraction_union_get_case (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (s: union_t0 tn n fields) (p: P.perm) : Lemma (requires (fractionable (union0 tn n fields) s)) (ensures ( union_get_case (mk_fraction (union0 tn n fields) s p) == union_get_case s )) [SMTPat (union_get_case (mk_fraction (union0 tn n fields) s p))] val fractionable_union_get_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (s: union_t0 tn n fields) (field: field_t fields) : Lemma (requires (union_get_case s == Some field)) (ensures ( fractionable (union0 tn n fields) s <==> fractionable (fields.fd_typedef field) (union_get_field s field) )) [SMTPat (fractionable (union0 tn n fields) s); SMTPat (union_get_field s field)] val mk_fraction_union_get_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (s: union_t0 tn n fields) (p: P.perm) (field: field_t fields) : Lemma (requires (fractionable (union0 tn n fields) s /\ union_get_case s == Some field)) (ensures (union_get_field (mk_fraction (union0 tn n fields) s p) field == mk_fraction (fields.fd_typedef field) (union_get_field s field) p)) [SMTPat (union_get_field (mk_fraction (union0 tn n fields) s p) field)] val mk_fraction_union_set_field (tn: Type0) (#tf: Type0) (n: string) (fields: field_description_t tf) (field: field_t fields) (v: fields.fd_type field) (p: P.perm) : Lemma (requires (fractionable (fields.fd_typedef field) v)) (ensures ( fractionable (union0 tn n fields) (union_set_field tn n fields field v) /\ mk_fraction (union0 tn n fields) (union_set_field tn n fields field v) p == union_set_field tn n fields field (mk_fraction (fields.fd_typedef field) v p) )) val full_union (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (s: union_t0 tn n fields) (field: field_t fields) : Lemma (requires (union_get_case s == Some field)) (ensures ( full (union0 tn n fields) s <==> full (fields.fd_typedef field) (union_get_field s field) )) [SMTPat (full (union0 tn n fields) s); SMTPat (union_get_field s field)] let full_union_set_field_intro (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (field: field_t fields) (v: fields.fd_type field) : Lemma (requires (full (fields.fd_typedef field) v)) (ensures ( full (union0 tn n fields) (union_set_field tn n fields field v) )) = full_union (union_set_field tn n fields field v) field let full_union_set_field_elim (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (field: field_t fields) (v: fields.fd_type field) : Lemma (requires ( full (union0 tn n fields) (union_set_field tn n fields field v) )) (ensures ( full (fields.fd_typedef field) v )) = full_union (union_set_field tn n fields field v) field let full_union_set_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (field: field_t fields) (v: fields.fd_type field) : Lemma (requires True) (ensures ( full (union0 tn n fields) (union_set_field tn n fields field v) <==> full (fields.fd_typedef field) v )) [SMTPat (full (union0 tn n fields) (union_set_field tn n fields field v))] = Classical.move_requires (full_union_set_field_intro #tn #tf #n #fields field) v; Classical.move_requires (full_union_set_field_elim #tn #tf #n #fields field) v val has_union_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (r': ref td') : Tot vprop val has_union_field_prop (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (r': ref td') : STGhost unit opened (has_union_field r field r') (fun _ -> has_union_field r field r') True (fun _ -> t' == fields.fd_type field /\ td' == fields.fd_typedef field ) val has_union_field_dup (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: nonempty_field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (r': ref td') : STGhostT unit opened (has_union_field r field r') (fun _ -> has_union_field r field r' `star` has_union_field r field r') val has_union_field_inj (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: nonempty_field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t1: Type0) (#td1: typedef t1) (r1: ref td1) (#t2: Type0) (#td2: typedef t2) (r2: ref td2) : STGhostT (squash (t1 == t2 /\ td1 == td2)) opened (has_union_field r field r1 `star` has_union_field r field r2) (fun _ -> has_union_field r field r1 `star` has_union_field r field r2 `star` ref_equiv r1 (coerce_eq () r2)) val has_union_field_equiv_from (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: nonempty_field_description_t tf) (r1 r2: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (r': ref td') : STGhostT unit opened (has_union_field r1 field r' `star` ref_equiv r1 r2) (fun _ -> has_union_field r2 field r' `star` ref_equiv r1 r2) val has_union_field_equiv_to (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: nonempty_field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (r1 r2: ref td') : STGhostT unit opened (has_union_field r field r1 `star` ref_equiv r1 r2) (fun _ -> has_union_field r field r2 `star` ref_equiv r1 r2) val ghost_union_field_focus (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (#v: Ghost.erased (union_t0 tn n fields)) (r: ref (union0 tn n fields)) (field: field_t fields {union_get_case v == Some field}) (#t': Type0) (#td': typedef t') (r': ref td') : STGhostT (squash ( t' == fields.fd_type field /\ td' == fields.fd_typedef field )) opened (has_union_field r field r' `star` pts_to r v) (fun _ -> has_union_field r field r' `star` pts_to r' (Ghost.hide (coerce_eq () (union_get_field v field)))) val ghost_union_field (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (#v: Ghost.erased (union_t0 tn n fields)) (r: ref (union0 tn n fields)) (field: field_t fields {union_get_case v == Some field}) : STGhostT (Ghost.erased (ref (fields.fd_typedef field))) opened (pts_to r v) (fun r' -> has_union_field r field r' `star` pts_to r' (union_get_field v field)) [@@noextract_to "krml"] // primitive val union_field0 (#tn: Type0) (#tf: Type0) (t': Type0) (#n: string) (#fields: field_description_t tf) (#v: Ghost.erased (union_t0 tn n fields)) (r: ref (union0 tn n fields)) (field: field_t fields {union_get_case v == Some field}) (td': typedef t' { t' == fields.fd_type field /\ td' == fields.fd_typedef field }) : STT (ref td') (pts_to r v) (fun r' -> has_union_field r field r' `star` pts_to r' (Ghost.hide (coerce_eq () (union_get_field v field)))) inline_for_extraction [@@noextract_to "krml"] let union_field1 (#tn: Type0) (#tf: Type0) (t': Type0) (#n: string) (#fields: field_description_t tf) (#v: Ghost.erased (union_t0 tn n fields)) (r: ref (union0 tn n fields)) (field: field_t fields {union_get_case v == Some field}) (td': typedef t') (sq_t': squash (t' == fields.fd_type field)) (sq_td': squash (td' == fields.fd_typedef field)) : STT (ref td') (pts_to r v) (fun r' -> has_union_field r field r' `star` pts_to r' (union_get_field v field)) = union_field0 t' r field td' inline_for_extraction [@@noextract_to "krml"] // primitive let union_field (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (#v: Ghost.erased (union_t0 tn n fields)) (r: ref (union0 tn n fields)) (field: field_t fields {union_get_case v == Some field}) (#t': Type0) (#td': typedef t') (# [ norm_fields () ] sq_t': squash (t' == fields.fd_type field)) (# [ norm_fields () ] sq_td': squash (td' == fields.fd_typedef field)) () : STT (ref td') (pts_to r v) (fun r' -> has_union_field r field r' `star` pts_to r' (union_get_field v field)) = union_field0 t' r field td' val ununion_field (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened (has_union_field r field r' `star` pts_to r' v') (fun res -> has_union_field r field r' `star` pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v')) ) let ununion_field_and_drop (#opened: _) (#tn: Type0) (#tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened (has_union_field r field r' `star` pts_to r' v') (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v'))
false
false
Steel.ST.C.Types.Union.fsti
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ununion_field_and_drop (#opened: _) (#tn #tf: Type0) (#n: string) (#fields: field_description_t tf) (r: ref (union0 tn n fields)) (field: field_t fields) (#t': Type0) (#td': typedef t') (#v': Ghost.erased t') (r': ref td') : STGhost (Ghost.erased (union_t0 tn n fields)) opened ((has_union_field r field r') `star` (pts_to r' v')) (fun res -> pts_to r res) True (fun res -> t' == fields.fd_type field /\ td' == fields.fd_typedef field /\ Ghost.reveal res == union_set_field tn n fields field (coerce_eq () (Ghost.reveal v')))
[]
Steel.ST.C.Types.Union.ununion_field_and_drop
{ "file_name": "lib/steel/c/Steel.ST.C.Types.Union.fsti", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
r: Steel.ST.C.Types.Base.ref (Steel.ST.C.Types.Union.union0 tn n fields) -> field: Steel.ST.C.Types.Fields.field_t fields -> r': Steel.ST.C.Types.Base.ref td' -> Steel.ST.Effect.Ghost.STGhost (FStar.Ghost.erased (Steel.ST.C.Types.Union.union_t0 tn n fields))
{ "end_col": 5, "end_line": 458, "start_col": 1, "start_line": 456 }
Prims.Tot
val no_repeats (l: list var) : Type0
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl
val no_repeats (l: list var) : Type0 let rec no_repeats (l: list var) : Type0 =
false
null
false
match l with | [] -> True | x :: tl -> (~(L.memP x tl)) /\ no_repeats tl
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Prims.list", "Pulse.Syntax.Base.var", "Prims.l_True", "Prims.l_and", "Prims.l_not", "FStar.List.Tot.Base.memP", "Pulse.Checker.Prover.Substs.no_repeats" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val no_repeats (l: list var) : Type0
[ "recursion" ]
Pulse.Checker.Prover.Substs.no_repeats
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Prims.list Pulse.Syntax.Base.var -> Type0
{ "end_col": 47, "end_line": 18, "start_col": 2, "start_line": 16 }
Prims.Tot
val as_map (ss:ss_t) : Map.t var term
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let as_map (ss:ss_t) = ss.m
val as_map (ss:ss_t) : Map.t var term let as_map (ss: ss_t) =
false
null
false
ss.m
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "FStar.Map.t", "Pulse.Syntax.Base.var", "Pulse.Syntax.Base.term" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } }
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val as_map (ss:ss_t) : Map.t var term
[]
Pulse.Checker.Prover.Substs.as_map
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
ss: Pulse.Checker.Prover.Substs.ss_t -> FStar.Map.t Pulse.Syntax.Base.var Pulse.Syntax.Base.term
{ "end_col": 27, "end_line": 51, "start_col": 23, "start_line": 51 }
Prims.Tot
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown)
let remove_map (m: ss_map) (x: var) =
false
null
false
Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.ss_map", "Pulse.Syntax.Base.var", "FStar.Map.restrict", "Pulse.Syntax.Base.term", "FStar.Set.complement", "FStar.Set.singleton", "FStar.Map.upd", "Pulse.Syntax.Base.tm_unknown", "FStar.Map.t" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown }
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val remove_map : m: Pulse.Checker.Prover.Substs.ss_map -> x: Pulse.Syntax.Base.var -> FStar.Map.t Pulse.Syntax.Base.var Pulse.Syntax.Base.term
[]
Pulse.Checker.Prover.Substs.remove_map
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
m: Pulse.Checker.Prover.Substs.ss_map -> x: Pulse.Syntax.Base.var -> FStar.Map.t Pulse.Syntax.Base.var Pulse.Syntax.Base.term
{ "end_col": 74, "end_line": 27, "start_col": 2, "start_line": 27 }
Prims.Tot
val push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t }
val push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t let push (ss: ss_t) (x: var{~(contains ss x)}) (t: term) : ss_t =
false
null
false
is_dom_push ss.l ss.m x t; { l = x :: ss.l; m = Map.upd ss.m x t }
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Syntax.Base.var", "Prims.l_not", "Prims.b2t", "Pulse.Checker.Prover.Substs.contains", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.Mkss_t", "Prims.Cons", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "FStar.Map.upd", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.unit", "Pulse.Checker.Prover.Substs.is_dom_push" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t =
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t
[]
Pulse.Checker.Prover.Substs.push
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
ss: Pulse.Checker.Prover.Substs.ss_t -> x: Pulse.Syntax.Base.var{~(Pulse.Checker.Prover.Substs.contains ss x)} -> t: Pulse.Syntax.Base.term -> Pulse.Checker.Prover.Substs.ss_t
{ "end_col": 26, "end_line": 68, "start_col": 2, "start_line": 66 }
Prims.Tot
val is_dom (l: ss_dom) (m: ss_map) : Type0
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x)
val is_dom (l: ss_dom) (m: ss_map) : Type0 let rec is_dom (l: ss_dom) (m: ss_map) : Type0 =
false
null
false
match l with | [] -> Set.equal (Map.domain m) Set.empty | x :: tl -> Map.contains m x /\ is_dom tl (remove_map m x)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.ss_dom", "Pulse.Checker.Prover.Substs.ss_map", "FStar.Set.equal", "Pulse.Syntax.Base.var", "FStar.Map.domain", "Pulse.Syntax.Base.term", "FStar.Set.empty", "Prims.list", "Prims.l_and", "Prims.b2t", "FStar.Map.contains", "Pulse.Checker.Prover.Substs.is_dom", "Pulse.Checker.Prover.Substs.remove_map" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown)
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_dom (l: ss_dom) (m: ss_map) : Type0
[ "recursion" ]
Pulse.Checker.Prover.Substs.is_dom
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Pulse.Checker.Prover.Substs.ss_dom -> m: Pulse.Checker.Prover.Substs.ss_map -> Type0
{ "end_col": 50, "end_line": 33, "start_col": 2, "start_line": 30 }
Prims.Tot
val empty : ss_t
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let empty = { l = []; m = Map.const_on Set.empty tm_unknown }
val empty : ss_t let empty =
false
null
false
{ l = []; m = Map.const_on Set.empty tm_unknown }
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.Mkss_t", "Prims.Nil", "Pulse.Syntax.Base.var", "FStar.Map.const_on", "Pulse.Syntax.Base.term", "FStar.Set.empty", "Pulse.Syntax.Base.tm_unknown" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val empty : ss_t
[]
Pulse.Checker.Prover.Substs.empty
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
Pulse.Checker.Prover.Substs.ss_t
{ "end_col": 59, "end_line": 53, "start_col": 14, "start_line": 53 }
Prims.Tot
val ss_st_term (t:st_term) (ss:ss_t) : st_term
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss)
val ss_st_term (t:st_term) (ss:ss_t) : st_term let rec ss_st_term (t: st_term) (ss: ss_t) : Tot st_term (decreases L.length ss.l) =
false
null
false
match ss.l with | [] -> t | y :: tl -> let t = subst_st_term t [NT y (Map.sel ss.m y)] in ss_st_term t (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Syntax.Base.st_term", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_st_term", "Pulse.Checker.Prover.Substs.tail", "Pulse.Syntax.Naming.subst_st_term", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss)
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_st_term (t:st_term) (ss:ss_t) : st_term
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_st_term
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Pulse.Syntax.Base.st_term -> ss: Pulse.Checker.Prover.Substs.ss_t -> Prims.Tot Pulse.Syntax.Base.st_term
{ "end_col": 26, "end_line": 146, "start_col": 2, "start_line": 142 }
Prims.Tot
val ss_term (t:term) (ss:ss_t) : term
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss)
val ss_term (t:term) (ss:ss_t) : term let rec ss_term (t: term) (ss: ss_t) : Tot term (decreases L.length ss.l) =
false
null
false
match ss.l with | [] -> t | y :: tl -> let t = subst_term t [NT y (Map.sel ss.m y)] in ss_term t (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_term", "Pulse.Checker.Prover.Substs.tail", "Pulse.Syntax.Naming.subst_term", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x))
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_term (t:term) (ss:ss_t) : term
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_term
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Pulse.Syntax.Base.term -> ss: Pulse.Checker.Prover.Substs.ss_t -> Prims.Tot Pulse.Syntax.Base.term
{ "end_col": 23, "end_line": 139, "start_col": 2, "start_line": 135 }
Prims.Tot
val ss_st_comp (s:st_comp) (ss:ss_t) : st_comp
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss)
val ss_st_comp (s:st_comp) (ss:ss_t) : st_comp let rec ss_st_comp (s: st_comp) (ss: ss_t) : Tot st_comp (decreases L.length ss.l) =
false
null
false
match ss.l with | [] -> s | y :: tl -> let s = subst_st_comp s [NT y (Map.sel ss.m y)] in ss_st_comp s (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Syntax.Base.st_comp", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_st_comp", "Pulse.Checker.Prover.Substs.tail", "Pulse.Syntax.Naming.subst_st_comp", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t)
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_st_comp (s:st_comp) (ss:ss_t) : st_comp
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_st_comp
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
s: Pulse.Syntax.Base.st_comp -> ss: Pulse.Checker.Prover.Substs.ss_t -> Prims.Tot Pulse.Syntax.Base.st_comp
{ "end_col": 26, "end_line": 154, "start_col": 2, "start_line": 150 }
Prims.Tot
val tail (ss: ss_t{Cons? ss.l}) : ss_t
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) }
val tail (ss: ss_t{Cons? ss.l}) : ss_t let tail (ss: ss_t{Cons? ss.l}) : ss_t =
false
null
false
{ l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) }
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.ss_t", "Prims.b2t", "Prims.uu___is_Cons", "Pulse.Syntax.Base.var", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Checker.Prover.Substs.Mkss_t", "FStar.List.Tot.Base.tl", "Pulse.Checker.Prover.Substs.remove_map", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "FStar.List.Tot.Base.hd" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t }
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val tail (ss: ss_t{Cons? ss.l}) : ss_t
[]
Pulse.Checker.Prover.Substs.tail
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
ss: Pulse.Checker.Prover.Substs.ss_t{Cons? (Mkss_t?.l ss)} -> Pulse.Checker.Prover.Substs.ss_t
{ "end_col": 51, "end_line": 71, "start_col": 5, "start_line": 71 }
Prims.Tot
val ss_binder (b:binder) (ss:ss_t) : binder
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss)
val ss_binder (b:binder) (ss:ss_t) : binder let rec ss_binder (b: binder) (ss: ss_t) : Tot binder (decreases L.length ss.l) =
false
null
false
match ss.l with | [] -> b | y :: tl -> let b = subst_binder b [NT y (Map.sel ss.m y)] in ss_binder b (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Syntax.Base.binder", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_binder", "Pulse.Checker.Prover.Substs.tail", "Pulse.Syntax.Naming.subst_binder", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t)
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_binder (b:binder) (ss:ss_t) : binder
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_binder
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
b: Pulse.Syntax.Base.binder -> ss: Pulse.Checker.Prover.Substs.ss_t -> Prims.Tot Pulse.Syntax.Base.binder
{ "end_col": 25, "end_line": 170, "start_col": 2, "start_line": 166 }
Prims.Tot
val ss_comp (c:comp) (ss:ss_t) : comp
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss)
val ss_comp (c:comp) (ss:ss_t) : comp let rec ss_comp (c: comp) (ss: ss_t) : Tot comp (decreases L.length ss.l) =
false
null
false
match ss.l with | [] -> c | y :: tl -> let c = subst_comp c [NT y (Map.sel ss.m y)] in ss_comp c (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Syntax.Base.comp", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_comp", "Pulse.Checker.Prover.Substs.tail", "Pulse.Syntax.Naming.subst_comp", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t)
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_comp (c:comp) (ss:ss_t) : comp
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_comp
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
c: Pulse.Syntax.Base.comp -> ss: Pulse.Checker.Prover.Substs.ss_t -> Prims.Tot Pulse.Syntax.Base.comp
{ "end_col": 23, "end_line": 162, "start_col": 2, "start_line": 158 }
Prims.Pure
val remove_l (l: ss_dom) (x: var{L.memP x l}) : Pure ss_dom (requires True) (ensures fun r -> forall (y: var). L.memP y r <==> (L.memP y l /\ y =!= x))
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x)
val remove_l (l: ss_dom) (x: var{L.memP x l}) : Pure ss_dom (requires True) (ensures fun r -> forall (y: var). L.memP y r <==> (L.memP y l /\ y =!= x)) let rec remove_l (l: ss_dom) (x: var{L.memP x l}) : Pure ss_dom (requires True) (ensures fun r -> forall (y: var). L.memP y r <==> (L.memP y l /\ y =!= x)) =
false
null
false
match l with | [] -> assert False; [] | y :: tl -> if y = x then tl else y :: (remove_l tl x)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[]
[ "Pulse.Checker.Prover.Substs.ss_dom", "Pulse.Syntax.Base.var", "FStar.List.Tot.Base.memP", "Prims.Nil", "Prims.unit", "Prims._assert", "Prims.l_False", "Prims.list", "Prims.op_Equality", "Prims.bool", "Prims.Cons", "Pulse.Checker.Prover.Substs.remove_l", "Prims.l_True", "Prims.l_Forall", "Prims.l_iff", "Prims.l_and", "Prims.l_not", "Prims.eq2" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val remove_l (l: ss_dom) (x: var{L.memP x l}) : Pure ss_dom (requires True) (ensures fun r -> forall (y: var). L.memP y r <==> (L.memP y l /\ y =!= x))
[ "recursion" ]
Pulse.Checker.Prover.Substs.remove_l
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Pulse.Checker.Prover.Substs.ss_dom -> x: Pulse.Syntax.Base.var{FStar.List.Tot.Base.memP x l} -> Prims.Pure Pulse.Checker.Prover.Substs.ss_dom
{ "end_col": 27, "end_line": 113, "start_col": 2, "start_line": 109 }
Prims.Tot
val coerce_eq: #a: Type -> #b: Type -> x: a -> squash (a == b) -> y: b{y == x}
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x
val coerce_eq: #a: Type -> #b: Type -> x: a -> squash (a == b) -> y: b{y == x} let coerce_eq (#a: Type) (#b: Type) (x: a) (_: squash (a == b)) : y: b{y == x} =
false
null
false
x
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Prims.squash", "Prims.eq2" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val coerce_eq: #a: Type -> #b: Type -> x: a -> squash (a == b) -> y: b{y == x}
[]
Pulse.Checker.Prover.Substs.coerce_eq
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
x: a -> _: Prims.squash (a == b) -> y: b{y == x}
{ "end_col": 71, "end_line": 13, "start_col": 70, "start_line": 13 }
Prims.Tot
val is_permutation (nts:nt_substs) (ss:ss_t) : Type0
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec is_permutation (nts:nt_substs) (ss:ss_t) : Type0 = match nts, ss.l with | [], [] -> True | (NT x e)::nts_rest, _::_ -> Map.contains ss.m x /\ Map.sel ss.m x == e /\ is_permutation nts_rest ({l=remove_l ss.l x; m=remove_map ss.m x}) | _ -> False
val is_permutation (nts:nt_substs) (ss:ss_t) : Type0 let rec is_permutation (nts: nt_substs) (ss: ss_t) : Type0 =
false
null
false
match nts, ss.l with | [], [] -> True | NT x e :: nts_rest, _ :: _ -> Map.contains ss.m x /\ Map.sel ss.m x == e /\ is_permutation nts_rest ({ l = remove_l ss.l x; m = remove_map ss.m x }) | _ -> False
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "total" ]
[ "Pulse.Checker.Prover.Substs.nt_substs", "Pulse.Checker.Prover.Substs.ss_t", "FStar.Pervasives.Native.Mktuple2", "Prims.list", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Base.var", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Prims.l_True", "Pulse.Syntax.Base.term", "Prims.l_and", "Prims.b2t", "FStar.Map.contains", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.eq2", "FStar.Map.sel", "Pulse.Checker.Prover.Substs.is_permutation", "Pulse.Checker.Prover.Substs.Mkss_t", "Pulse.Checker.Prover.Substs.remove_l", "Pulse.Checker.Prover.Substs.remove_map", "FStar.Pervasives.Native.tuple2", "Prims.l_False" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss) let rec ss_env (g:env) (ss:ss_t) : Tot (g':env { fstar_env g' == fstar_env g /\ Env.dom g' == Env.dom g }) (decreases L.length ss.l) = admit (); match ss.l with | [] -> g | y::tl -> ss_env (subst_env g [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] = match ss.l with | [] -> () | y::tl -> ss_st_comp_commutes (subst_st_comp s [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l) [SMTPat (ss_comp c ss)] = match ss.l with | [] -> () | y::tl -> ss_comp_commutes (subst_comp c [ NT y (Map.sel ss.m y) ]) (tail ss) let rec nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required (decreases nts) [SMTPat (nt_subst_st_comp s nts)] = match nts with | [] -> () | (NT x e)::nts_tl -> nt_substs_st_comp_commutes (nt_subst_st_comp s [ NT x e ]) nts_tl let rec nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) (decreases nts) [SMTPat (nt_subst_comp c nts)] = match nts with | [] -> () | (NT x e)::nts_tl -> nt_subst_comp_commutes (nt_subst_comp c [ NT x e ]) nts_tl
false
true
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_permutation (nts:nt_substs) (ss:ss_t) : Type0
[ "recursion" ]
Pulse.Checker.Prover.Substs.is_permutation
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
nts: Pulse.Checker.Prover.Substs.nt_substs -> ss: Pulse.Checker.Prover.Substs.ss_t -> Type0
{ "end_col": 14, "end_line": 242, "start_col": 2, "start_line": 236 }
FStar.Pervasives.Lemma
val ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required [SMTPat (ss_st_comp s ss)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] = match ss.l with | [] -> () | y::tl -> ss_st_comp_commutes (subst_st_comp s [ NT y (Map.sel ss.m y) ]) (tail ss)
val ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required [SMTPat (ss_st_comp s ss)] let rec ss_st_comp_commutes (s: st_comp) (ss: ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss }) (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] =
false
null
true
match ss.l with | [] -> () | y :: tl -> ss_st_comp_commutes (subst_st_comp s [NT y (Map.sel ss.m y)]) (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "lemma" ]
[ "Pulse.Syntax.Base.st_comp", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_st_comp_commutes", "Pulse.Syntax.Naming.subst_st_comp", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil", "Pulse.Checker.Prover.Substs.tail", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Pulse.Checker.Prover.Substs.ss_st_comp", "Pulse.Syntax.Base.Mkst_comp", "Pulse.Syntax.Base.__proj__Mkst_comp__item__u", "Pulse.Checker.Prover.Substs.ss_term", "Pulse.Syntax.Base.__proj__Mkst_comp__item__res", "Pulse.Syntax.Base.__proj__Mkst_comp__item__pre", "Pulse.Syntax.Base.__proj__Mkst_comp__item__post", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss) let rec ss_env (g:env) (ss:ss_t) : Tot (g':env { fstar_env g' == fstar_env g /\ Env.dom g' == Env.dom g }) (decreases L.length ss.l) = admit (); match ss.l with | [] -> g | y::tl -> ss_env (subst_env g [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required [SMTPat (ss_st_comp s ss)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_st_comp_commutes
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
s: Pulse.Syntax.Base.st_comp -> ss: Pulse.Checker.Prover.Substs.ss_t -> FStar.Pervasives.Lemma (ensures Pulse.Checker.Prover.Substs.ss_st_comp s ss == Pulse.Syntax.Base.Mkst_comp (Mkst_comp?.u s) (Pulse.Checker.Prover.Substs.ss_term (Mkst_comp?.res s) ss) (Pulse.Checker.Prover.Substs.ss_term (Mkst_comp?.pre s) ss) (Pulse.Checker.Prover.Substs.ss_term (Mkst_comp?.post s) ss)) (decreases FStar.List.Tot.Base.length (Mkss_t?.l ss)) [SMTPat (Pulse.Checker.Prover.Substs.ss_st_comp s ss)]
{ "end_col": 86, "end_line": 191, "start_col": 2, "start_line": 189 }
FStar.Pervasives.Lemma
val nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required [SMTPat (nt_subst_st_comp s nts)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required (decreases nts) [SMTPat (nt_subst_st_comp s nts)] = match nts with | [] -> () | (NT x e)::nts_tl -> nt_substs_st_comp_commutes (nt_subst_st_comp s [ NT x e ]) nts_tl
val nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required [SMTPat (nt_subst_st_comp s nts)] let rec nt_substs_st_comp_commutes (s: st_comp) (nts: nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts }) (decreases nts) [SMTPat (nt_subst_st_comp s nts)] =
false
null
true
match nts with | [] -> () | NT x e :: nts_tl -> nt_substs_st_comp_commutes (nt_subst_st_comp s [NT x e]) nts_tl
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "lemma" ]
[ "Pulse.Syntax.Base.st_comp", "Pulse.Checker.Prover.Substs.nt_substs", "Pulse.Syntax.Base.var", "Pulse.Syntax.Base.term", "Prims.list", "Pulse.Syntax.Naming.subst_elt", "Pulse.Checker.Prover.Substs.nt_substs_st_comp_commutes", "Pulse.Checker.Prover.Substs.nt_subst_st_comp", "Prims.Cons", "Pulse.Syntax.Naming.NT", "Prims.Nil", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "Pulse.Syntax.Base.Mkst_comp", "Pulse.Syntax.Base.__proj__Mkst_comp__item__u", "Pulse.Checker.Prover.Substs.nt_subst_term", "Pulse.Syntax.Base.__proj__Mkst_comp__item__res", "Pulse.Syntax.Base.__proj__Mkst_comp__item__pre", "Pulse.Syntax.Base.__proj__Mkst_comp__item__post", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss) let rec ss_env (g:env) (ss:ss_t) : Tot (g':env { fstar_env g' == fstar_env g /\ Env.dom g' == Env.dom g }) (decreases L.length ss.l) = admit (); match ss.l with | [] -> g | y::tl -> ss_env (subst_env g [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] = match ss.l with | [] -> () | y::tl -> ss_st_comp_commutes (subst_st_comp s [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l) [SMTPat (ss_comp c ss)] = match ss.l with | [] -> () | y::tl -> ss_comp_commutes (subst_comp c [ NT y (Map.sel ss.m y) ]) (tail ss) let rec nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required (decreases nts)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required [SMTPat (nt_subst_st_comp s nts)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.nt_substs_st_comp_commutes
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
s: Pulse.Syntax.Base.st_comp -> nts: Pulse.Checker.Prover.Substs.nt_substs -> FStar.Pervasives.Lemma (ensures Pulse.Checker.Prover.Substs.nt_subst_st_comp s nts == Pulse.Syntax.Base.Mkst_comp (Mkst_comp?.u s) (Pulse.Checker.Prover.Substs.nt_subst_term (Mkst_comp?.res s) nts) (Pulse.Checker.Prover.Substs.nt_subst_term (Mkst_comp?.pre s) nts) (Pulse.Checker.Prover.Substs.nt_subst_term (Mkst_comp?.post s) nts)) (decreases nts) [SMTPat (Pulse.Checker.Prover.Substs.nt_subst_st_comp s nts)]
{ "end_col": 89, "end_line": 218, "start_col": 2, "start_line": 216 }
FStar.Pervasives.Lemma
val is_dom_mem (l: ss_dom) (m: ss_map) : Lemma (requires is_dom l m) (ensures forall (x: var). {:pattern L.memP x l\/Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y)
val is_dom_mem (l: ss_dom) (m: ss_map) : Lemma (requires is_dom l m) (ensures forall (x: var). {:pattern L.memP x l\/Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] let rec is_dom_mem (l: ss_dom) (m: ss_map) : Lemma (requires is_dom l m) (ensures forall (x: var). {:pattern L.memP x l\/Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] =
false
null
true
match l with | [] -> () | y :: tl -> is_dom_mem tl (remove_map m y)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "lemma" ]
[ "Pulse.Checker.Prover.Substs.ss_dom", "Pulse.Checker.Prover.Substs.ss_map", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.is_dom_mem", "Pulse.Checker.Prover.Substs.remove_map", "Prims.unit", "Pulse.Checker.Prover.Substs.is_dom", "Prims.squash", "Prims.l_Forall", "Prims.l_iff", "FStar.List.Tot.Base.memP", "Prims.b2t", "FStar.Map.contains", "Pulse.Syntax.Base.term", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_dom_mem (l: ss_dom) (m: ss_map) : Lemma (requires is_dom l m) (ensures forall (x: var). {:pattern L.memP x l\/Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.is_dom_mem
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Pulse.Checker.Prover.Substs.ss_dom -> m: Pulse.Checker.Prover.Substs.ss_map -> FStar.Pervasives.Lemma (requires Pulse.Checker.Prover.Substs.is_dom l m) (ensures forall (x: Pulse.Syntax.Base.var). {:pattern FStar.List.Tot.Base.memP x l\/FStar.Map.contains m x} FStar.List.Tot.Base.memP x l <==> FStar.Map.contains m x) [SMTPat (Pulse.Checker.Prover.Substs.is_dom l m)]
{ "end_col": 43, "end_line": 43, "start_col": 2, "start_line": 41 }
Prims.Tot
val push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : ss_t
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2)
val push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : ss_t let rec push_ss (ss1: ss_t) (ss2: ss_t{Set.disjoint (dom ss1) (dom ss2)}) : Tot ss_t (decreases L.length ss2.l) =
false
null
false
match ss2.l with | [] -> ss1 | x :: tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "total" ]
[ "Pulse.Checker.Prover.Substs.ss_t", "FStar.Set.disjoint", "Pulse.Syntax.Base.var", "Pulse.Checker.Prover.Substs.dom", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Prims.list", "Pulse.Checker.Prover.Substs.push_ss", "Pulse.Checker.Prover.Substs.push", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Pulse.Checker.Prover.Substs.tail" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) })
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : ss_t
[ "recursion" ]
Pulse.Checker.Prover.Substs.push_ss
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
ss1: Pulse.Checker.Prover.Substs.ss_t -> ss2: Pulse.Checker.Prover.Substs.ss_t { FStar.Set.disjoint (Pulse.Checker.Prover.Substs.dom ss1) (Pulse.Checker.Prover.Substs.dom ss2) } -> Prims.Tot Pulse.Checker.Prover.Substs.ss_t
{ "end_col": 53, "end_line": 78, "start_col": 2, "start_line": 75 }
FStar.Pervasives.Lemma
val push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures as_map (push_ss ss1 ss2) == Map.concat (as_map ss1) (as_map ss2)) [SMTPat (as_map (push_ss ss1 ss2))]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in ()
val push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures as_map (push_ss ss1 ss2) == Map.concat (as_map ss1) (as_map ss2)) [SMTPat (as_map (push_ss ss1 ss2))] let push_as_map (ss1 ss2: ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] =
false
null
true
let rec aux (ss1 ss2: ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x :: tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in ()
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "lemma" ]
[ "Pulse.Checker.Prover.Substs.ss_t", "Prims.unit", "FStar.List.Tot.Base.length", "Pulse.Syntax.Base.var", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "FStar.Set.disjoint", "Pulse.Checker.Prover.Substs.dom", "Prims.squash", "FStar.Map.equal", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.as_map", "Pulse.Checker.Prover.Substs.push_ss", "FStar.Map.concat", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.Nil", "Prims.list", "Pulse.Checker.Prover.Substs.push", "FStar.Map.sel", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Pulse.Checker.Prover.Substs.tail", "FStar.Map.t" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2)))
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures as_map (push_ss ss1 ss2) == Map.concat (as_map ss1) (as_map ss2)) [SMTPat (as_map (push_ss ss1 ss2))]
[]
Pulse.Checker.Prover.Substs.push_as_map
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
ss1: Pulse.Checker.Prover.Substs.ss_t -> ss2: Pulse.Checker.Prover.Substs.ss_t -> FStar.Pervasives.Lemma (requires FStar.Set.disjoint (Pulse.Checker.Prover.Substs.dom ss1) (Pulse.Checker.Prover.Substs.dom ss2)) (ensures Pulse.Checker.Prover.Substs.as_map (Pulse.Checker.Prover.Substs.push_ss ss1 ss2) == FStar.Map.concat (Pulse.Checker.Prover.Substs.as_map ss1) (Pulse.Checker.Prover.Substs.as_map ss2)) [SMTPat (Pulse.Checker.Prover.Substs.as_map (Pulse.Checker.Prover.Substs.push_ss ss1 ss2))]
{ "end_col": 4, "end_line": 102, "start_col": 47, "start_line": 90 }
FStar.Pervasives.Lemma
val is_dom_push (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{~(Map.contains m x)}) (t: term) : Lemma (is_dom (x :: l) (Map.upd m x t))
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m)
val is_dom_push (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{~(Map.contains m x)}) (t: term) : Lemma (is_dom (x :: l) (Map.upd m x t)) let is_dom_push (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{~(Map.contains m x)}) (t: term) : Lemma (is_dom (x :: l) (Map.upd m x t)) =
false
null
true
assert (Map.equal (remove_map (Map.upd m x t) x) m)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "lemma" ]
[ "Pulse.Checker.Prover.Substs.ss_dom", "Pulse.Checker.Prover.Substs.ss_map", "Pulse.Checker.Prover.Substs.is_dom", "Pulse.Syntax.Base.var", "Prims.l_not", "Prims.b2t", "FStar.Map.contains", "Pulse.Syntax.Base.term", "Prims._assert", "FStar.Map.equal", "Pulse.Checker.Prover.Substs.remove_map", "FStar.Map.upd", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.Cons", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) =
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_dom_push (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{~(Map.contains m x)}) (t: term) : Lemma (is_dom (x :: l) (Map.upd m x t))
[]
Pulse.Checker.Prover.Substs.is_dom_push
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Pulse.Checker.Prover.Substs.ss_dom -> m: Pulse.Checker.Prover.Substs.ss_map{Pulse.Checker.Prover.Substs.is_dom l m} -> x: Pulse.Syntax.Base.var{~(FStar.Map.contains m x)} -> t: Pulse.Syntax.Base.term -> FStar.Pervasives.Lemma (ensures Pulse.Checker.Prover.Substs.is_dom (x :: l) (FStar.Map.upd m x t))
{ "end_col": 53, "end_line": 62, "start_col": 2, "start_line": 62 }
FStar.Pervasives.Lemma
val ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) [SMTPat (ss_comp c ss)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l) [SMTPat (ss_comp c ss)] = match ss.l with | [] -> () | y::tl -> ss_comp_commutes (subst_comp c [ NT y (Map.sel ss.m y) ]) (tail ss)
val ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) [SMTPat (ss_comp c ss)] let rec ss_comp_commutes (c: comp) (ss: ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l) [SMTPat (ss_comp c ss)] =
false
null
true
match ss.l with | [] -> () | y :: tl -> ss_comp_commutes (subst_comp c [NT y (Map.sel ss.m y)]) (tail ss)
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "lemma" ]
[ "Pulse.Syntax.Base.comp", "Pulse.Checker.Prover.Substs.ss_t", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__l", "Pulse.Syntax.Base.var", "Prims.list", "Pulse.Checker.Prover.Substs.ss_comp_commutes", "Pulse.Syntax.Naming.subst_comp", "Prims.Cons", "Pulse.Syntax.Naming.subst_elt", "Pulse.Syntax.Naming.NT", "FStar.Map.sel", "Pulse.Syntax.Base.term", "Pulse.Checker.Prover.Substs.__proj__Mkss_t__item__m", "Prims.Nil", "Pulse.Checker.Prover.Substs.tail", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_and", "Prims.l_imp", "Prims.b2t", "Pulse.Syntax.Base.uu___is_C_Tot", "Prims.eq2", "Pulse.Syntax.Base.C_Tot", "Pulse.Checker.Prover.Substs.ss_term", "Pulse.Syntax.Base.comp_res", "Pulse.Syntax.Base.uu___is_C_ST", "Pulse.Syntax.Base.C_ST", "Pulse.Checker.Prover.Substs.ss_st_comp", "Pulse.Syntax.Base.st_comp_of_comp", "Pulse.Syntax.Base.uu___is_C_STAtomic", "Pulse.Syntax.Base.C_STAtomic", "Pulse.Syntax.Base.comp_inames", "Pulse.Syntax.Base.uu___is_C_STGhost", "Pulse.Syntax.Base.C_STGhost", "Pulse.Checker.Prover.Substs.ss_comp", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss) let rec ss_env (g:env) (ss:ss_t) : Tot (g':env { fstar_env g' == fstar_env g /\ Env.dom g' == Env.dom g }) (decreases L.length ss.l) = admit (); match ss.l with | [] -> g | y::tl -> ss_env (subst_env g [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] = match ss.l with | [] -> () | y::tl -> ss_st_comp_commutes (subst_st_comp s [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) [SMTPat (ss_comp c ss)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.ss_comp_commutes
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
c: Pulse.Syntax.Base.comp -> ss: Pulse.Checker.Prover.Substs.ss_t -> FStar.Pervasives.Lemma (ensures (let r = Pulse.Checker.Prover.Substs.ss_comp c ss in (C_Tot? c ==> r == Pulse.Syntax.Base.C_Tot (Pulse.Checker.Prover.Substs.ss_term (Pulse.Syntax.Base.comp_res c) ss)) /\ (C_ST? c ==> r == Pulse.Syntax.Base.C_ST (Pulse.Checker.Prover.Substs.ss_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == Pulse.Syntax.Base.C_STAtomic (Pulse.Checker.Prover.Substs.ss_term (Pulse.Syntax.Base.comp_inames c) ss) (Pulse.Checker.Prover.Substs.ss_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == Pulse.Syntax.Base.C_STGhost (Pulse.Checker.Prover.Substs.ss_term (Pulse.Syntax.Base.comp_inames c) ss) (Pulse.Checker.Prover.Substs.ss_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) ss)))) (decreases FStar.List.Tot.Base.length (Mkss_t?.l ss)) [SMTPat (Pulse.Checker.Prover.Substs.ss_comp c ss)]
{ "end_col": 80, "end_line": 206, "start_col": 2, "start_line": 204 }
FStar.Pervasives.Lemma
val is_dom_remove (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{Map.contains m x}) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x))
val is_dom_remove (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{Map.contains m x}) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] let rec is_dom_remove (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{Map.contains m x}) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] =
false
null
true
match l with | [] -> () | y :: tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x))
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "lemma" ]
[ "Pulse.Checker.Prover.Substs.ss_dom", "Pulse.Checker.Prover.Substs.ss_map", "Pulse.Checker.Prover.Substs.is_dom", "Pulse.Syntax.Base.var", "Prims.b2t", "FStar.Map.contains", "Pulse.Syntax.Base.term", "Prims.list", "Prims.op_Equality", "Prims.bool", "Prims._assert", "FStar.Map.equal", "FStar.Map.upd", "Pulse.Checker.Prover.Substs.remove_map", "Prims.unit", "Pulse.Checker.Prover.Substs.is_dom_push", "Pulse.Checker.Prover.Substs.remove_l", "Pulse.Checker.Prover.Substs.is_dom_remove", "FStar.Map.t", "FStar.Map.sel", "Prims.l_True", "Prims.squash", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.Nil" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] =
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_dom_remove (l: ss_dom) (m: ss_map{is_dom l m}) (x: var{Map.contains m x}) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.is_dom_remove
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
l: Pulse.Checker.Prover.Substs.ss_dom -> m: Pulse.Checker.Prover.Substs.ss_map{Pulse.Checker.Prover.Substs.is_dom l m} -> x: Pulse.Syntax.Base.var{FStar.Map.contains m x} -> FStar.Pervasives.Lemma (ensures Pulse.Checker.Prover.Substs.is_dom (Pulse.Checker.Prover.Substs.remove_l l x) (Pulse.Checker.Prover.Substs.remove_map m x)) [ SMTPat (Pulse.Checker.Prover.Substs.remove_l l x); SMTPat (Pulse.Checker.Prover.Substs.remove_map m x) ]
{ "end_col": 44, "end_line": 132, "start_col": 2, "start_line": 122 }
FStar.Pervasives.Lemma
val nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) [SMTPat (nt_subst_comp c nts)]
[ { "abbrev": true, "full_module": "Pulse.Typing.Metatheory", "short_module": "Metatheory" }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.Typing.Env", "short_module": "Env" }, { "abbrev": true, "full_module": "FStar.Tactics", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing.Env", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.Prover", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) (decreases nts) [SMTPat (nt_subst_comp c nts)] = match nts with | [] -> () | (NT x e)::nts_tl -> nt_subst_comp_commutes (nt_subst_comp c [ NT x e ]) nts_tl
val nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) [SMTPat (nt_subst_comp c nts)] let rec nt_subst_comp_commutes (c: comp) (nts: nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts) ))) (decreases nts) [SMTPat (nt_subst_comp c nts)] =
false
null
true
match nts with | [] -> () | NT x e :: nts_tl -> nt_subst_comp_commutes (nt_subst_comp c [NT x e]) nts_tl
{ "checked_file": "Pulse.Checker.Prover.Substs.fst.checked", "dependencies": [ "Pulse.Typing.Metatheory.fsti.checked", "Pulse.Typing.Env.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "prims.fst.checked", "FStar.Squash.fsti.checked", "FStar.Set.fsti.checked", "FStar.Printf.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Map.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.IndefiniteDescription.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Checker.Prover.Substs.fst" }
[ "", "lemma" ]
[ "Pulse.Syntax.Base.comp", "Pulse.Checker.Prover.Substs.nt_substs", "Pulse.Syntax.Base.var", "Pulse.Syntax.Base.term", "Prims.list", "Pulse.Syntax.Naming.subst_elt", "Pulse.Checker.Prover.Substs.nt_subst_comp_commutes", "Pulse.Checker.Prover.Substs.nt_subst_comp", "Prims.Cons", "Pulse.Syntax.Naming.NT", "Prims.Nil", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_and", "Prims.l_imp", "Prims.b2t", "Pulse.Syntax.Base.uu___is_C_Tot", "Prims.eq2", "Pulse.Syntax.Base.C_Tot", "Pulse.Checker.Prover.Substs.nt_subst_term", "Pulse.Syntax.Base.comp_res", "Pulse.Syntax.Base.uu___is_C_ST", "Pulse.Syntax.Base.C_ST", "Pulse.Checker.Prover.Substs.nt_subst_st_comp", "Pulse.Syntax.Base.st_comp_of_comp", "Pulse.Syntax.Base.uu___is_C_STAtomic", "Pulse.Syntax.Base.C_STAtomic", "Pulse.Syntax.Base.comp_inames", "Pulse.Syntax.Base.uu___is_C_STGhost", "Pulse.Syntax.Base.C_STGhost", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat" ]
[]
module Pulse.Checker.Prover.Substs open FStar.List.Tot open Pulse.Syntax open Pulse.Typing.Env open Pulse.Typing module L = FStar.List.Tot module Env = Pulse.Typing.Env module Metatheory = Pulse.Typing.Metatheory let coerce_eq (#a #b:Type) (x:a) (_:squash (a == b)) : y:b {y == x} = x let rec no_repeats (l:list var) : Type0 = match l with | [] -> True | x::tl -> (~ (L.memP x tl)) /\ no_repeats tl type ss_dom = l:list var { no_repeats l } type ss_map = m:Map.t var term { forall (x:var). (~ (Map.contains m x)) ==> Map.sel m x == tm_unknown } let remove_map (m:ss_map) (x:var) = Map.restrict (Set.complement (Set.singleton x)) (Map.upd m x tm_unknown) let rec is_dom (l:ss_dom) (m:ss_map) : Type0 = match l with | [] -> Set.equal (Map.domain m) Set.empty | x::tl -> Map.contains m x /\ is_dom tl (remove_map m x) let rec is_dom_mem (l:ss_dom) (m:ss_map) : Lemma (requires is_dom l m) (ensures forall (x:var).{:pattern L.memP x l \/ Map.contains m x} L.memP x l <==> Map.contains m x) [SMTPat (is_dom l m)] = match l with | [] -> () | y::tl -> is_dom_mem tl (remove_map m y) noeq type ss_t = { l : ss_dom; m : m:ss_map { is_dom l m } } let as_map (ss:ss_t) = ss.m let empty = { l = []; m = Map.const_on Set.empty tm_unknown } let is_dom_push (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { ~ (Map.contains m x ) }) (t:term) : Lemma (is_dom (x::l) (Map.upd m x t)) = assert (Map.equal (remove_map (Map.upd m x t) x) m) let push (ss:ss_t) (x:var { ~ (contains ss x) }) (t:term) : ss_t = is_dom_push ss.l ss.m x t; { l = x::ss.l; m = Map.upd ss.m x t } let tail (ss:ss_t { Cons? ss.l }) : ss_t = { l = L.tl ss.l; m = remove_map ss.m (L.hd ss.l) } let rec push_ss (ss1:ss_t) (ss2:ss_t { Set.disjoint (dom ss1) (dom ss2) }) : Tot ss_t (decreases L.length ss2.l) = match ss2.l with | [] -> ss1 | x::tl -> push_ss (push ss1 x (Map.sel ss2.m x)) (tail ss2) let check_disjoint ss1 ss2 = admit (); not (L.existsb (fun v1 -> L.mem v1 ss2.l) ss1.l) #push-options "--warn_error -271" let push_as_map (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat (as_map (push_ss ss1 ss2))] = let rec aux (ss1 ss2:ss_t) : Lemma (requires Set.disjoint (dom ss1) (dom ss2)) (ensures Map.equal (as_map (push_ss ss1 ss2)) (Map.concat (as_map ss1) (as_map ss2))) (decreases L.length ss2.l) [SMTPat ()] = match ss2.l with | [] -> () | x::tl -> aux (push ss1 x (Map.sel ss2.m x)) (tail ss2) in () #pop-options let rec remove_l (l:ss_dom) (x:var { L.memP x l }) : Pure ss_dom (requires True) (ensures fun r -> forall (y:var). L.memP y r <==> (L.memP y l /\ y =!= x)) = match l with | [] -> assert False; [] | y::tl -> if y = x then tl else y::(remove_l tl x) let rec is_dom_remove (l:ss_dom) (m:ss_map { is_dom l m }) (x:var { Map.contains m x }) : Lemma (is_dom (remove_l l x) (remove_map m x)) [SMTPat (remove_l l x); SMTPat (remove_map m x)] = match l with | [] -> () | y::tl -> if x = y then () else let t_y = Map.sel m y in let m1 = remove_map m y in is_dom_remove tl m1 x; assert (is_dom (remove_l tl x) (remove_map m1 x)); is_dom_push (remove_l tl x) (remove_map m1 x) y t_y; assert (Map.equal (Map.upd (remove_map m1 x) y t_y) (remove_map m x)) let rec ss_term (t:term) (ss:ss_t) : Tot term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_term t [ NT y (Map.sel ss.m y) ] in ss_term t (tail ss) let rec ss_st_term (t:st_term) (ss:ss_t) : Tot st_term (decreases L.length ss.l) = match ss.l with | [] -> t | y::tl -> let t = subst_st_term t [ NT y (Map.sel ss.m y) ] in ss_st_term t (tail ss) let rec ss_st_comp (s:st_comp) (ss:ss_t) : Tot st_comp (decreases L.length ss.l) = match ss.l with | [] -> s | y::tl -> let s = subst_st_comp s [ NT y (Map.sel ss.m y) ] in ss_st_comp s (tail ss) let rec ss_comp (c:comp) (ss:ss_t) : Tot comp (decreases L.length ss.l) = match ss.l with | [] -> c | y::tl -> let c = subst_comp c [ NT y (Map.sel ss.m y) ] in ss_comp c (tail ss) let rec ss_binder (b:binder) (ss:ss_t) : Tot binder (decreases L.length ss.l) = match ss.l with | [] -> b | y::tl -> let b = subst_binder b [ NT y (Map.sel ss.m y) ] in ss_binder b (tail ss) let rec ss_env (g:env) (ss:ss_t) : Tot (g':env { fstar_env g' == fstar_env g /\ Env.dom g' == Env.dom g }) (decreases L.length ss.l) = admit (); match ss.l with | [] -> g | y::tl -> ss_env (subst_env g [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_st_comp_commutes (s:st_comp) (ss:ss_t) : Lemma (ensures ss_st_comp s ss == { s with res = ss_term s.res ss; pre = ss_term s.pre ss; post = ss_term s.post ss; }) // no shifting required (decreases L.length ss.l) [SMTPat (ss_st_comp s ss)] = match ss.l with | [] -> () | y::tl -> ss_st_comp_commutes (subst_st_comp s [ NT y (Map.sel ss.m y) ]) (tail ss) let rec ss_comp_commutes (c:comp) (ss:ss_t) : Lemma (ensures (let r = ss_comp c ss in (C_Tot? c ==> r == C_Tot (ss_term (comp_res c) ss)) /\ (C_ST? c ==> r == C_ST (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STAtomic? c ==> r == C_STAtomic (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)) /\ (C_STGhost? c ==> r == C_STGhost (ss_term (comp_inames c) ss) (ss_st_comp (st_comp_of_comp c) ss)))) (decreases L.length ss.l) [SMTPat (ss_comp c ss)] = match ss.l with | [] -> () | y::tl -> ss_comp_commutes (subst_comp c [ NT y (Map.sel ss.m y) ]) (tail ss) let rec nt_substs_st_comp_commutes (s:st_comp) (nts:nt_substs) : Lemma (ensures nt_subst_st_comp s nts == { s with res = nt_subst_term s.res nts; pre = nt_subst_term s.pre nts; post = nt_subst_term s.post nts; }) // no shifting required (decreases nts) [SMTPat (nt_subst_st_comp s nts)] = match nts with | [] -> () | (NT x e)::nts_tl -> nt_substs_st_comp_commutes (nt_subst_st_comp s [ NT x e ]) nts_tl let rec nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) (decreases nts)
false
false
Pulse.Checker.Prover.Substs.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val nt_subst_comp_commutes (c:comp) (nts:nt_substs) : Lemma (ensures (let r = nt_subst_comp c nts in (C_Tot? c ==> r == C_Tot (nt_subst_term (comp_res c) nts)) /\ (C_ST? c ==> r == C_ST (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STAtomic? c ==> r == C_STAtomic (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == C_STGhost (nt_subst_term (comp_inames c) nts) (nt_subst_st_comp (st_comp_of_comp c) nts)))) [SMTPat (nt_subst_comp c nts)]
[ "recursion" ]
Pulse.Checker.Prover.Substs.nt_subst_comp_commutes
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.Substs.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
c: Pulse.Syntax.Base.comp -> nts: Pulse.Checker.Prover.Substs.nt_substs -> FStar.Pervasives.Lemma (ensures (let r = Pulse.Checker.Prover.Substs.nt_subst_comp c nts in (C_Tot? c ==> r == Pulse.Syntax.Base.C_Tot (Pulse.Checker.Prover.Substs.nt_subst_term (Pulse.Syntax.Base.comp_res c) nts)) /\ (C_ST? c ==> r == Pulse.Syntax.Base.C_ST (Pulse.Checker.Prover.Substs.nt_subst_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) nts) ) /\ (C_STAtomic? c ==> r == Pulse.Syntax.Base.C_STAtomic (Pulse.Checker.Prover.Substs.nt_subst_term (Pulse.Syntax.Base.comp_inames c) nts) (Pulse.Checker.Prover.Substs.nt_subst_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) nts)) /\ (C_STGhost? c ==> r == Pulse.Syntax.Base.C_STGhost (Pulse.Checker.Prover.Substs.nt_subst_term (Pulse.Syntax.Base.comp_inames c) nts) (Pulse.Checker.Prover.Substs.nt_subst_st_comp (Pulse.Syntax.Base.st_comp_of_comp c) nts)))) (decreases nts) [SMTPat (Pulse.Checker.Prover.Substs.nt_subst_comp c nts)]
{ "end_col": 82, "end_line": 233, "start_col": 2, "start_line": 231 }
FStar.Tactics.Effect.Tac
val term_construct (t : term) : Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let term_construct (t : term) : Tac string = term_view_construct (inspect t)
val term_construct (t : term) : Tac string let term_construct (t: term) : Tac string =
true
null
false
term_view_construct (inspect t)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.term_view_construct", "Prims.string", "FStar.Reflection.V1.Data.term_view", "FStar.Tactics.V1.Builtins.inspect" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val term_construct (t : term) : Tac string
[]
FStar.InteractiveHelpers.Base.term_construct
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
t: FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 33, "end_line": 160, "start_col": 2, "start_line": 160 }
FStar.Tactics.Effect.Tac
val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables (there is no longer a sort). But, shift the substitution. *) bv, (bv, pack (Tv_Var bv))::subst (* * AR: TODO: should apply subst in attrs? *) and deep_apply_subst_in_binder e br subst = let open inspect_binder br <: binder_view in let binder_sort = deep_apply_subst e binder_sort subst in let binder_bv, subst = deep_apply_subst_in_bv e binder_bv subst in pack_binder { binder_bv=binder_bv; binder_qual=binder_qual; binder_attrs=binder_attrs; binder_sort=binder_sort; }, subst and deep_apply_subst_in_comp e c subst = let subst = (fun x -> deep_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) and deep_apply_subst_in_pattern e pat subst = match pat with | Pat_Constant _ -> pat, subst | Pat_Cons fv us patterns -> (* The types of the variables in the patterns should be independent of each * other: we use fold_left only to incrementally update the substitution *) let patterns, subst = fold_right (fun (pat, b) (pats, subst) -> let pat, subst = deep_apply_subst_in_pattern e pat subst in ((pat, b) :: pats, subst)) patterns ([], subst) in Pat_Cons fv us patterns, subst | Pat_Var bv st -> let st = Sealed.seal (deep_apply_subst e (unseal st) subst) in let bv, subst = deep_apply_subst_in_bv e bv subst in Pat_Var bv st, subst | Pat_Dot_Term eopt -> Pat_Dot_Term (map_opt (fun t -> deep_apply_subst e t subst) eopt), subst
val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) let rec deep_apply_subst_in_bv e bv subst =
true
null
false
bv, (bv, pack (Tv_Var bv)) :: subst
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "FStar.Reflection.Types.bv", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.Mktuple2", "Prims.Cons", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var" ]
[ "deep_apply_subst", "deep_apply_subst_in_bv", "deep_apply_subst_in_binder", "deep_apply_subst_in_comp", "deep_apply_subst_in_pattern" ]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2 let norm_apply_subst_in_comp e c subst = let subst = (fun x -> norm_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) /// As substitution with normalization is very expensive, we implemented another /// technique which works by exploring terms. This is super fast, but the terms /// seem not to be reconstructed in the same way, which has a big impact on pretty printing. /// For example, terms like [A /\ B] get printed as [Prims.l_and A B]. val deep_apply_subst : env -> term -> list (bv & term) -> Tac term // Whenever we encounter a construction which introduces a binder, we need to apply // the substitution in the binder type. Note that this gives a new binder, with // which we need to replace the old one in what follows. // Also note that it should be possible to rewrite [deep_apply_subst] in terms of [visit_tm], // but [deep_apply_subst] seems to be a bit more precise with regard to type replacements (not // sure it is really important, though). val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) val deep_apply_subst_in_binder : env -> binder -> list (bv & term) -> Tac (binder & list (bv & term)) val deep_apply_subst_in_comp : env -> comp -> list (bv & term) -> Tac comp val deep_apply_subst_in_pattern : env -> pattern -> list (bv & term) -> Tac (pattern & list (bv & term)) let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term))
[ "mutual recursion" ]
FStar.InteractiveHelpers.Base.deep_apply_subst_in_bv
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> bv: FStar.Reflection.Types.bv -> subst: Prims.list (FStar.Reflection.Types.bv * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac (FStar.Reflection.Types.bv * Prims.list (FStar.Reflection.Types.bv * FStar.Reflection.Types.term))
{ "end_col": 35, "end_line": 516, "start_col": 2, "start_line": 516 }
FStar.Tactics.Effect.Tac
val genv_push_fresh_bv (ge: genv) (basename: string) (ty: typ) : Tac (genv & bv)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b
val genv_push_fresh_bv (ge: genv) (basename: string) (ty: typ) : Tac (genv & bv) let genv_push_fresh_bv (ge: genv) (basename: string) (ty: typ) : Tac (genv & bv) =
true
null
false
let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.Mktuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.genv_push_fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_fresh_bv (ge: genv) (basename: string) (ty: typ) : Tac (genv & bv)
[]
FStar.InteractiveHelpers.Base.genv_push_fresh_bv
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac (FStar.InteractiveHelpers.Base.genv * FStar.Reflection.Types.bv)
{ "end_col": 21, "end_line": 345, "start_col": 85, "start_line": 343 }
FStar.Tactics.Effect.Tac
val print_binders_info (full: bool) (e: env) : Tac unit
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e)
val print_binders_info (full: bool) (e: env) : Tac unit let print_binders_info (full: bool) (e: env) : Tac unit =
true
null
false
iter (print_binder_info full) (binders_of_env e)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.bool", "FStar.Reflection.Types.env", "FStar.Tactics.Util.iter", "FStar.Reflection.Types.binder", "FStar.InteractiveHelpers.Base.print_binder_info", "FStar.Reflection.V1.Builtins.binders_of_env", "Prims.unit" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val print_binders_info (full: bool) (e: env) : Tac unit
[]
FStar.InteractiveHelpers.Base.print_binders_info
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
full: Prims.bool -> e: FStar.Reflection.Types.env -> FStar.Tactics.Effect.Tac Prims.unit
{ "end_col": 50, "end_line": 108, "start_col": 2, "start_line": 108 }
FStar.Tactics.Effect.Tac
val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]"
val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls =
true
null
false
(Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]"
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.string", "Prims.list", "Prims.op_Hat", "FStar.Tactics.Util.fold_left" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string
[]
FStar.InteractiveHelpers.Base.list_to_string
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
f: (_: a -> FStar.Tactics.Effect.Tac Prims.string) -> ls: Prims.list a -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 74, "end_line": 58, "start_col": 2, "start_line": 58 }
Prims.Tot
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m
let bind_map_push (#a: Type) (m: bind_map a) (b: bv) (x: a) =
false
null
false
(b, x) :: m
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.bind_map", "FStar.Reflection.Types.bv", "Prims.Cons", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "Prims.list" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bind_map_push : m: FStar.InteractiveHelpers.Base.bind_map a -> b: FStar.Reflection.Types.bv -> x: a -> Prims.list (FStar.Reflection.Types.bv * a)
[]
FStar.InteractiveHelpers.Base.bind_map_push
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
m: FStar.InteractiveHelpers.Base.bind_map a -> b: FStar.Reflection.Types.bv -> x: a -> Prims.list (FStar.Reflection.Types.bv * a)
{ "end_col": 66, "end_line": 196, "start_col": 58, "start_line": 196 }
Prims.Tot
val get_bind_map (e: genv) : bind_map (typ & bool & term)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap
val get_bind_map (e: genv) : bind_map (typ & bool & term) let get_bind_map (e: genv) : bind_map (typ & bool & term) =
false
null
false
e.bmap
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap", "FStar.InteractiveHelpers.Base.bind_map", "FStar.Pervasives.Native.tuple3", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Reflection.Types.term" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); }
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val get_bind_map (e: genv) : bind_map (typ & bool & term)
[]
FStar.InteractiveHelpers.Base.get_bind_map
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.InteractiveHelpers.Base.genv -> FStar.InteractiveHelpers.Base.bind_map ((FStar.Reflection.Types.typ * Prims.bool) * FStar.Reflection.Types.term)
{ "end_col": 65, "end_line": 239, "start_col": 59, "start_line": 239 }
FStar.Tactics.Effect.Tac
val term_view_construct (t : term_view) : Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown"
val term_view_construct (t : term_view) : Tac string let term_view_construct (t: term_view) : Tac string =
true
null
false
match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown"
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.V1.Data.term_view", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.fv", "FStar.Reflection.Types.term", "FStar.Reflection.V1.Data.argv", "FStar.Reflection.Types.binder", "FStar.Reflection.Types.comp", "FStar.Reflection.Types.universe", "FStar.Reflection.Types.typ", "FStar.Reflection.V1.Data.vconst", "Prims.nat", "FStar.Reflection.Types.ctx_uvar_and_subst", "Prims.bool", "Prims.list", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.match_returns_ascription", "FStar.Reflection.V1.Data.branch", "Prims.string" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val term_view_construct (t : term_view) : Tac string
[]
FStar.InteractiveHelpers.Base.term_view_construct
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
t: FStar.Reflection.V1.Data.term_view -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 21, "end_line": 155, "start_col": 2, "start_line": 140 }
FStar.Tactics.Effect.Tac
val fresh_binder (e: env) (basename: string) (ty: typ) : Tac binder
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty
val fresh_binder (e: env) (basename: string) (ty: typ) : Tac binder let fresh_binder (e: env) (basename: string) (ty: typ) : Tac binder =
true
null
false
let bv = fresh_bv e basename in mk_binder bv ty
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.V1.Derived.mk_binder", "FStar.Reflection.Types.binder", "FStar.Reflection.Types.bv", "FStar.InteractiveHelpers.Base.fresh_bv" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val fresh_binder (e: env) (basename: string) (ty: typ) : Tac binder
[]
FStar.InteractiveHelpers.Base.fresh_binder
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.binder
{ "end_col": 17, "end_line": 329, "start_col": 72, "start_line": 327 }
Prims.Tot
val get_env (e: genv) : env
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let get_env (e:genv) : env = e.env
val get_env (e: genv) : env let get_env (e: genv) : env =
false
null
false
e.env
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__env", "FStar.Reflection.Types.env" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); }
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val get_env (e: genv) : env
[]
FStar.InteractiveHelpers.Base.get_env
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.InteractiveHelpers.Base.genv -> FStar.Reflection.Types.env
{ "end_col": 34, "end_line": 238, "start_col": 29, "start_line": 238 }
FStar.Tactics.Effect.Tac
val print_dbg : bool -> string -> Tac unit
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let print_dbg debug s = if debug then print s
val print_dbg : bool -> string -> Tac unit let print_dbg debug s =
true
null
false
if debug then print s
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.bool", "Prims.string", "FStar.Tactics.V1.Builtins.print", "Prims.unit" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val print_dbg : bool -> string -> Tac unit
[]
FStar.InteractiveHelpers.Base.print_dbg
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
debug: Prims.bool -> s: Prims.string -> FStar.Tactics.Effect.Tac Prims.unit
{ "end_col": 23, "end_line": 134, "start_col": 2, "start_line": 134 }
FStar.Tactics.Effect.Tac
val fresh_bv (e: env) (basename: string) : Tac bv
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0
val fresh_bv (e: env) (basename: string) : Tac bv let fresh_bv (e: env) (basename: string) : Tac bv =
true
null
false
let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "Prims.string", "FStar.InteractiveHelpers.Base._fresh_bv", "FStar.Reflection.Types.bv", "Prims.list", "FStar.Tactics.Util.map", "FStar.Reflection.Types.binder", "FStar.Tactics.V1.Derived.name_of_binder", "FStar.Reflection.Types.binders", "FStar.Reflection.V1.Builtins.binders_of_env" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val fresh_bv (e: env) (basename: string) : Tac bv
[]
FStar.InteractiveHelpers.Base.fresh_bv
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> basename: Prims.string -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.bv
{ "end_col": 35, "end_line": 325, "start_col": 53, "start_line": 322 }
FStar.Tactics.Effect.Tac
val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2
val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term let norm_apply_subst e t subst =
true
null
false
let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv, ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "FStar.Reflection.Types.term", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "FStar.Tactics.V1.Builtins.norm_term_env", "Prims.Nil", "FStar.Pervasives.norm_step", "FStar.Reflection.V1.Derived.mk_e_app", "FStar.Tactics.V1.Derived.mk_abs", "FStar.Reflection.Types.binder", "FStar.List.Tot.Base.map", "FStar.Reflection.V1.Derived.mk_binder", "FStar.InteractiveHelpers.Base.unzip" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term
[]
FStar.InteractiveHelpers.Base.norm_apply_subst
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> t: FStar.Reflection.Types.term -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
{ "end_col": 23, "end_line": 391, "start_col": 32, "start_line": 386 }
FStar.Tactics.Effect.Tac
val opt_mk_app_norm : env -> option term -> list term -> Tac (option term)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t
val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params =
true
null
false
opt_tapply (fun t -> mk_app_norm e t params) opt_t
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.term", "Prims.list", "FStar.InteractiveHelpers.Base.opt_tapply", "FStar.InteractiveHelpers.Base.mk_app_norm" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val opt_mk_app_norm : env -> option term -> list term -> Tac (option term)
[]
FStar.InteractiveHelpers.Base.opt_mk_app_norm
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> opt_t: FStar.Pervasives.Native.option FStar.Reflection.Types.term -> params: Prims.list FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option FStar.Reflection.Types.term)
{ "end_col": 52, "end_line": 71, "start_col": 2, "start_line": 71 }
Prims.Tot
val binder_is_shadowed (ge: genv) (b: binder) : Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b)
val binder_is_shadowed (ge: genv) (b: binder) : Tot bool let binder_is_shadowed (ge: genv) (b: binder) : Tot bool =
false
null
false
bv_is_shadowed ge (bv_of_binder b)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.binder", "FStar.InteractiveHelpers.Base.bv_is_shadowed", "FStar.Reflection.V1.Derived.bv_of_binder", "Prims.bool" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val binder_is_shadowed (ge: genv) (b: binder) : Tot bool
[]
FStar.InteractiveHelpers.Base.binder_is_shadowed
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> b: FStar.Reflection.Types.binder -> Prims.bool
{ "end_col": 36, "end_line": 289, "start_col": 2, "start_line": 289 }
FStar.Tactics.Effect.Tac
val prettify_term : bool -> term -> Tac term
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let prettify_term dbg t = filter_ascriptions dbg t
val prettify_term : bool -> term -> Tac term let prettify_term dbg t =
true
null
false
filter_ascriptions dbg t
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.bool", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.filter_ascriptions" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away.
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val prettify_term : bool -> term -> Tac term
[]
FStar.InteractiveHelpers.Base.prettify_term
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
dbg: Prims.bool -> t: FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
{ "end_col": 50, "end_line": 186, "start_col": 26, "start_line": 186 }
FStar.Tactics.Effect.Tac
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let apply_subst_in_comp = norm_apply_subst_in_comp
let apply_subst_in_comp =
true
null
false
norm_apply_subst_in_comp
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.norm_apply_subst_in_comp" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2 let norm_apply_subst_in_comp e c subst = let subst = (fun x -> norm_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) /// As substitution with normalization is very expensive, we implemented another /// technique which works by exploring terms. This is super fast, but the terms /// seem not to be reconstructed in the same way, which has a big impact on pretty printing. /// For example, terms like [A /\ B] get printed as [Prims.l_and A B]. val deep_apply_subst : env -> term -> list (bv & term) -> Tac term // Whenever we encounter a construction which introduces a binder, we need to apply // the substitution in the binder type. Note that this gives a new binder, with // which we need to replace the old one in what follows. // Also note that it should be possible to rewrite [deep_apply_subst] in terms of [visit_tm], // but [deep_apply_subst] seems to be a bit more precise with regard to type replacements (not // sure it is really important, though). val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) val deep_apply_subst_in_binder : env -> binder -> list (bv & term) -> Tac (binder & list (bv & term)) val deep_apply_subst_in_comp : env -> comp -> list (bv & term) -> Tac comp val deep_apply_subst_in_pattern : env -> pattern -> list (bv & term) -> Tac (pattern & list (bv & term)) let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables (there is no longer a sort). But, shift the substitution. *) bv, (bv, pack (Tv_Var bv))::subst (* * AR: TODO: should apply subst in attrs? *) and deep_apply_subst_in_binder e br subst = let open inspect_binder br <: binder_view in let binder_sort = deep_apply_subst e binder_sort subst in let binder_bv, subst = deep_apply_subst_in_bv e binder_bv subst in pack_binder { binder_bv=binder_bv; binder_qual=binder_qual; binder_attrs=binder_attrs; binder_sort=binder_sort; }, subst and deep_apply_subst_in_comp e c subst = let subst = (fun x -> deep_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) and deep_apply_subst_in_pattern e pat subst = match pat with | Pat_Constant _ -> pat, subst | Pat_Cons fv us patterns -> (* The types of the variables in the patterns should be independent of each * other: we use fold_left only to incrementally update the substitution *) let patterns, subst = fold_right (fun (pat, b) (pats, subst) -> let pat, subst = deep_apply_subst_in_pattern e pat subst in ((pat, b) :: pats, subst)) patterns ([], subst) in Pat_Cons fv us patterns, subst | Pat_Var bv st -> let st = Sealed.seal (deep_apply_subst e (unseal st) subst) in let bv, subst = deep_apply_subst_in_bv e bv subst in Pat_Var bv st, subst | Pat_Dot_Term eopt -> Pat_Dot_Term (map_opt (fun t -> deep_apply_subst e t subst) eopt), subst /// The substitution functions actually used in the rest of the meta F* functions. /// For now, we use normalization because even though it is sometimes slow it /// gives prettier terms, and readability is the priority. In order to mitigate /// the performance issue, we try to minimize the number of calls to those functions, /// by doing lazy instantiations for example (rather than incrementally apply /// substitutions in a term, accumulate the substitutions and perform them all at once). /// TODO: would it be good to have a native substitution function in F*
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val apply_subst_in_comp : e: FStar.Reflection.Types.env -> c: FStar.Reflection.Types.comp -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.comp
[]
FStar.InteractiveHelpers.Base.apply_subst_in_comp
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> c: FStar.Reflection.Types.comp -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.comp
{ "end_col": 50, "end_line": 585, "start_col": 26, "start_line": 585 }
FStar.Tactics.Effect.Tac
val genv_push_fresh_binder (ge: genv) (basename: string) (ty: typ) : Tac (genv & binder)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b
val genv_push_fresh_binder (ge: genv) (basename: string) (ty: typ) : Tac (genv & binder) let genv_push_fresh_binder (ge: genv) (basename: string) (ty: typ) : Tac (genv & binder) =
true
null
false
let b = fresh_binder ge.env basename ty in let ge' = genv_push_binder ge b true None in ge', b
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Pervasives.Native.Mktuple2", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.genv_push_binder", "FStar.Pervasives.Native.None", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.fresh_binder", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__env" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_fresh_binder (ge: genv) (basename: string) (ty: typ) : Tac (genv & binder)
[]
FStar.InteractiveHelpers.Base.genv_push_fresh_binder
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac (FStar.InteractiveHelpers.Base.genv * FStar.Reflection.Types.binder)
{ "end_col": 8, "end_line": 335, "start_col": 93, "start_line": 331 }
FStar.Tactics.Effect.Tac
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let mfail str = raise (MetaAnalysis str)
let mfail str =
true
null
false
raise (MetaAnalysis str)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.string", "FStar.Tactics.Effect.raise", "FStar.InteractiveHelpers.Base.MetaAnalysis" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mfail : str: Prims.string -> FStar.Tactics.Effect.Tac _
[]
FStar.InteractiveHelpers.Base.mfail
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
str: Prims.string -> FStar.Tactics.Effect.Tac _
{ "end_col": 26, "end_line": 128, "start_col": 2, "start_line": 128 }
FStar.Tactics.Effect.Tac
val genv_push_binder (ge: genv) (b: binder) (abs: bool) (t: option term) : Tac genv
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t
val genv_push_binder (ge: genv) (b: binder) (abs: bool) (t: option term) : Tac genv let genv_push_binder (ge: genv) (b: binder) (abs: bool) (t: option term) : Tac genv =
true
null
false
genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.binder", "Prims.bool", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.genv_push_bv", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Reflection.Types.typ", "FStar.Tactics.V1.Derived.binder_sort" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars'
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_binder (ge: genv) (b: binder) (abs: bool) (t: option term) : Tac genv
[]
FStar.InteractiveHelpers.Base.genv_push_binder
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> b: FStar.Reflection.Types.binder -> abs: Prims.bool -> t: FStar.Pervasives.Native.option FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac FStar.InteractiveHelpers.Base.genv
{ "end_col": 56, "end_line": 282, "start_col": 2, "start_line": 282 }
FStar.Tactics.Effect.Tac
val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1
val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty =
true
null
false
let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.Mktuple3", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.tuple3", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.genv_push_fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv)
[]
FStar.InteractiveHelpers.Base.genv_push_fresh_var
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge0: FStar.InteractiveHelpers.Base.genv -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac ((FStar.Reflection.Types.term * FStar.Reflection.Types.binder) * FStar.InteractiveHelpers.Base.genv)
{ "end_col": 13, "end_line": 357, "start_col": 41, "start_line": 354 }
Prims.Tot
val fv_eq : fv -> fv -> Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2
val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 =
false
null
false
let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.Reflection.Types.fv", "Prims.op_Equality", "FStar.Reflection.Types.name", "FStar.Reflection.V1.Builtins.inspect_fv", "Prims.bool" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val fv_eq : fv -> fv -> Tot bool
[]
FStar.InteractiveHelpers.Base.fv_eq
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
fv1: FStar.Reflection.Types.fv -> fv2: FStar.Reflection.Types.fv -> Prims.bool
{ "end_col": 9, "end_line": 23, "start_col": 19, "start_line": 20 }
Prims.Tot
val find_shadowed_bvs (ge: genv) (bl: list bv) : Tot (list (bv & bool))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl
val find_shadowed_bvs (ge: genv) (bl: list bv) : Tot (list (bv & bool)) let find_shadowed_bvs (ge: genv) (bl: list bv) : Tot (list (bv & bool)) =
false
null
false
List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.list", "FStar.Reflection.Types.bv", "FStar.List.Tot.Base.map", "FStar.Pervasives.Native.tuple2", "Prims.bool", "FStar.Pervasives.Native.Mktuple2", "FStar.InteractiveHelpers.Base.bv_is_shadowed" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b)
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val find_shadowed_bvs (ge: genv) (bl: list bv) : Tot (list (bv & bool))
[]
FStar.InteractiveHelpers.Base.find_shadowed_bvs
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> bl: Prims.list FStar.Reflection.Types.bv -> Prims.list (FStar.Reflection.Types.bv * Prims.bool)
{ "end_col": 51, "end_line": 292, "start_col": 2, "start_line": 292 }
Prims.Tot
val find_shadowed_binders (ge: genv) (bl: list binder) : Tot (list (binder & bool))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl
val find_shadowed_binders (ge: genv) (bl: list binder) : Tot (list (binder & bool)) let find_shadowed_binders (ge: genv) (bl: list binder) : Tot (list (binder & bool)) =
false
null
false
List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.list", "FStar.Reflection.Types.binder", "FStar.List.Tot.Base.map", "FStar.Pervasives.Native.tuple2", "Prims.bool", "FStar.Pervasives.Native.Mktuple2", "FStar.InteractiveHelpers.Base.binder_is_shadowed" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val find_shadowed_binders (ge: genv) (bl: list binder) : Tot (list (binder & bool))
[]
FStar.InteractiveHelpers.Base.find_shadowed_binders
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> bl: Prims.list FStar.Reflection.Types.binder -> Prims.list (FStar.Reflection.Types.binder * Prims.bool)
{ "end_col": 55, "end_line": 295, "start_col": 2, "start_line": 295 }
FStar.Tactics.Effect.Tac
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let apply_subst = norm_apply_subst
let apply_subst =
true
null
false
norm_apply_subst
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.norm_apply_subst" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2 let norm_apply_subst_in_comp e c subst = let subst = (fun x -> norm_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) /// As substitution with normalization is very expensive, we implemented another /// technique which works by exploring terms. This is super fast, but the terms /// seem not to be reconstructed in the same way, which has a big impact on pretty printing. /// For example, terms like [A /\ B] get printed as [Prims.l_and A B]. val deep_apply_subst : env -> term -> list (bv & term) -> Tac term // Whenever we encounter a construction which introduces a binder, we need to apply // the substitution in the binder type. Note that this gives a new binder, with // which we need to replace the old one in what follows. // Also note that it should be possible to rewrite [deep_apply_subst] in terms of [visit_tm], // but [deep_apply_subst] seems to be a bit more precise with regard to type replacements (not // sure it is really important, though). val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) val deep_apply_subst_in_binder : env -> binder -> list (bv & term) -> Tac (binder & list (bv & term)) val deep_apply_subst_in_comp : env -> comp -> list (bv & term) -> Tac comp val deep_apply_subst_in_pattern : env -> pattern -> list (bv & term) -> Tac (pattern & list (bv & term)) let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables (there is no longer a sort). But, shift the substitution. *) bv, (bv, pack (Tv_Var bv))::subst (* * AR: TODO: should apply subst in attrs? *) and deep_apply_subst_in_binder e br subst = let open inspect_binder br <: binder_view in let binder_sort = deep_apply_subst e binder_sort subst in let binder_bv, subst = deep_apply_subst_in_bv e binder_bv subst in pack_binder { binder_bv=binder_bv; binder_qual=binder_qual; binder_attrs=binder_attrs; binder_sort=binder_sort; }, subst and deep_apply_subst_in_comp e c subst = let subst = (fun x -> deep_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) and deep_apply_subst_in_pattern e pat subst = match pat with | Pat_Constant _ -> pat, subst | Pat_Cons fv us patterns -> (* The types of the variables in the patterns should be independent of each * other: we use fold_left only to incrementally update the substitution *) let patterns, subst = fold_right (fun (pat, b) (pats, subst) -> let pat, subst = deep_apply_subst_in_pattern e pat subst in ((pat, b) :: pats, subst)) patterns ([], subst) in Pat_Cons fv us patterns, subst | Pat_Var bv st -> let st = Sealed.seal (deep_apply_subst e (unseal st) subst) in let bv, subst = deep_apply_subst_in_bv e bv subst in Pat_Var bv st, subst | Pat_Dot_Term eopt -> Pat_Dot_Term (map_opt (fun t -> deep_apply_subst e t subst) eopt), subst /// The substitution functions actually used in the rest of the meta F* functions. /// For now, we use normalization because even though it is sometimes slow it /// gives prettier terms, and readability is the priority. In order to mitigate /// the performance issue, we try to minimize the number of calls to those functions, /// by doing lazy instantiations for example (rather than incrementally apply /// substitutions in a term, accumulate the substitutions and perform them all at once).
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val apply_subst : e: FStar.Reflection.Types.env -> t: FStar.Reflection.Types.term -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
[]
FStar.InteractiveHelpers.Base.apply_subst
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> t: FStar.Reflection.Types.term -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
{ "end_col": 34, "end_line": 584, "start_col": 18, "start_line": 584 }
FStar.Tactics.Effect.Tac
val push_fresh_binder (e: env) (basename: string) (ty: typ) : Tac (env & binder)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b
val push_fresh_binder (e: env) (basename: string) (ty: typ) : Tac (env & binder) let push_fresh_binder (e: env) (basename: string) (ty: typ) : Tac (env & binder) =
true
null
false
let b = fresh_binder e basename ty in let e' = push_binder e b in e', b
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Pervasives.Native.Mktuple2", "FStar.Reflection.Types.binder", "FStar.Reflection.V1.Builtins.push_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push_fresh_binder (e: env) (basename: string) (ty: typ) : Tac (env & binder)
[]
FStar.InteractiveHelpers.Base.push_fresh_binder
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac (FStar.Reflection.Types.env * FStar.Reflection.Types.binder)
{ "end_col": 7, "end_line": 341, "start_col": 85, "start_line": 338 }
Prims.Tot
val genv_abstract_bvs : genv -> Tot (list (bv & typ))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap
val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge =
false
null
false
List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv, ty] else []) ge.bmap
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.List.Tot.Base.concatMap", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Pervasives.Native.tuple3", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Reflection.Types.term", "Prims.Cons", "FStar.Pervasives.Native.Mktuple2", "Prims.Nil", "Prims.list", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ))
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_abstract_bvs : genv -> Tot (list (bv & typ))
[]
FStar.InteractiveHelpers.Base.genv_abstract_bvs
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> Prims.list (FStar.Reflection.Types.bv * FStar.Reflection.Types.typ)
{ "end_col": 67, "end_line": 310, "start_col": 2, "start_line": 309 }
FStar.Tactics.Effect.Tac
val filter_ascriptions : bool -> term -> Tac term
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t
val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t =
true
null
false
print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.bool", "FStar.Reflection.Types.term", "FStar.Tactics.Visit.visit_tm", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.comp", "FStar.Reflection.V1.Data.term_view", "FStar.Tactics.V1.Builtins.inspect", "Prims.unit", "FStar.InteractiveHelpers.Base.print_dbg", "Prims.string", "Prims.op_Hat", "FStar.Tactics.V1.Builtins.term_to_string", "FStar.InteractiveHelpers.Base.term_view_construct" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val filter_ascriptions : bool -> term -> Tac term
[]
FStar.InteractiveHelpers.Base.filter_ascriptions
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
dbg: Prims.bool -> t: FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
{ "end_col": 15, "end_line": 178, "start_col": 2, "start_line": 173 }
FStar.Tactics.Effect.Tac
val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2
val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty =
true
null
false
let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.Mktuple5", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.tuple5", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.genv_push_fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv)
[]
FStar.InteractiveHelpers.Base.genv_push_two_fresh_vars
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge0: FStar.InteractiveHelpers.Base.genv -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac ((((FStar.Reflection.Types.term * FStar.Reflection.Types.binder) * FStar.Reflection.Types.term) * FStar.Reflection.Types.binder) * FStar.InteractiveHelpers.Base.genv)
{ "end_col": 21, "end_line": 373, "start_col": 46, "start_line": 368 }
FStar.Tactics.Effect.Tac
val genv_to_string : genv -> Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str
val genv_to_string : genv -> Tac string let genv_to_string ge =
true
null
false
let binder_to_string (b: binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e: bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^ " -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.op_Hat", "Prims.list", "Prims.string", "FStar.List.Tot.Base.fold_left", "FStar.Tactics.Util.map", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "FStar.InteractiveHelpers.Base.abv_to_string", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__svars", "FStar.Pervasives.Native.tuple3", "Prims.bool", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap", "Prims.string_of_bool", "FStar.Tactics.V1.Builtins.term_to_string", "FStar.Reflection.Types.binder", "FStar.Reflection.V1.Builtins.binders_of_env", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__env", "FStar.Reflection.V1.Derived.bv_of_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] []
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_to_string : genv -> Tac string
[]
FStar.InteractiveHelpers.Base.genv_to_string
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 34, "end_line": 259, "start_col": 23, "start_line": 244 }
FStar.Tactics.Effect.Tac
val mk_app_norm : env -> term -> list term -> Tac term
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2
val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params =
true
null
false
let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "FStar.Reflection.Types.term", "Prims.list", "FStar.Tactics.V1.Builtins.norm_term_env", "Prims.Nil", "FStar.Pervasives.norm_step", "FStar.Reflection.V1.Derived.mk_e_app" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mk_app_norm : env -> term -> list term -> Tac term
[]
FStar.InteractiveHelpers.Base.mk_app_norm
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> t: FStar.Reflection.Types.term -> params: Prims.list FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac FStar.Reflection.Types.term
{ "end_col": 4, "end_line": 67, "start_col": 28, "start_line": 64 }
Prims.Tot
val genv_get (ge: genv) (b: bv) : Tot (option (typ & bool & term))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b
val genv_get (ge: genv) (b: bv) : Tot (option (typ & bool & term)) let genv_get (ge: genv) (b: bv) : Tot (option (typ & bool & term)) =
false
null
false
bind_map_get ge.bmap b
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.bv", "FStar.InteractiveHelpers.Base.bind_map_get", "FStar.Pervasives.Native.tuple3", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap", "FStar.Pervasives.Native.option" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_get (ge: genv) (b: bv) : Tot (option (typ & bool & term))
[]
FStar.InteractiveHelpers.Base.genv_get
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> b: FStar.Reflection.Types.bv -> FStar.Pervasives.Native.option ((FStar.Reflection.Types.typ * Prims.bool) * FStar.Reflection.Types.term)
{ "end_col": 24, "end_line": 262, "start_col": 2, "start_line": 262 }
Prims.Tot
val bv_is_shadowed (ge: genv) (bv: bv) : Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars
val bv_is_shadowed (ge: genv) (bv: bv) : Tot bool let bv_is_shadowed (ge: genv) (bv: bv) : Tot bool =
false
null
false
List.Tot.existsb (fun (b, _) -> bv_eq bv b) ge.svars
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.bv", "FStar.List.Tot.Base.existsb", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.typ", "FStar.InteractiveHelpers.Base.bv_eq", "Prims.bool", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__svars" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bv_is_shadowed (ge: genv) (bv: bv) : Tot bool
[]
FStar.InteractiveHelpers.Base.bv_is_shadowed
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> bv: FStar.Reflection.Types.bv -> Prims.bool
{ "end_col": 53, "end_line": 286, "start_col": 2, "start_line": 286 }
Prims.Tot
val fv_eq_name : fv -> name -> Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n
val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n =
false
null
false
let fvn = inspect_fv fv in fvn = n
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.Reflection.Types.fv", "FStar.Reflection.Types.name", "Prims.op_Equality", "FStar.Reflection.V1.Builtins.inspect_fv", "Prims.bool" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val fv_eq_name : fv -> name -> Tot bool
[]
FStar.InteractiveHelpers.Base.fv_eq_name
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
fv: FStar.Reflection.Types.fv -> n: FStar.Reflection.Types.name -> Prims.bool
{ "end_col": 9, "end_line": 29, "start_col": 21, "start_line": 27 }
Prims.Tot
val binder_is_abstract : genv -> binder -> Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b)
val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b =
false
null
false
bv_is_abstract ge (bv_of_binder b)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.binder", "FStar.InteractiveHelpers.Base.bv_is_abstract", "FStar.Reflection.V1.Derived.bv_of_binder", "Prims.bool" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val binder_is_abstract : genv -> binder -> Tot bool
[]
FStar.InteractiveHelpers.Base.binder_is_abstract
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> b: FStar.Reflection.Types.binder -> Prims.bool
{ "end_col": 36, "end_line": 305, "start_col": 2, "start_line": 305 }
FStar.Tactics.Effect.Tac
val push_fresh_var : env -> string -> typ -> Tac (term & binder & env)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1
val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty =
true
null
false
let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.Mktuple3", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.tuple3", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.push_fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push_fresh_var : env -> string -> typ -> Tac (term & binder & env)
[]
FStar.InteractiveHelpers.Base.push_fresh_var
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e0: FStar.Reflection.Types.env -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac ((FStar.Reflection.Types.term * FStar.Reflection.Types.binder) * FStar.Reflection.Types.env)
{ "end_col": 12, "end_line": 351, "start_col": 35, "start_line": 348 }
FStar.Tactics.Effect.Tac
val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2
val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty =
true
null
false
let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "Prims.string", "FStar.Reflection.Types.typ", "FStar.Reflection.Types.binder", "FStar.Pervasives.Native.Mktuple5", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.tuple5", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.Reflection.V1.Derived.bv_of_binder", "FStar.Pervasives.Native.tuple2", "FStar.InteractiveHelpers.Base.push_fresh_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env)
[]
FStar.InteractiveHelpers.Base.push_two_fresh_vars
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e0: FStar.Reflection.Types.env -> basename: Prims.string -> ty: FStar.Reflection.Types.typ -> FStar.Tactics.Effect.Tac ((((FStar.Reflection.Types.term * FStar.Reflection.Types.binder) * FStar.Reflection.Types.term) * FStar.Reflection.Types.binder) * FStar.Reflection.Types.env)
{ "end_col": 20, "end_line": 365, "start_col": 40, "start_line": 360 }
Prims.Tot
val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x')
val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x =
false
null
false
match x with | None -> None | Some x' -> Some (f x')
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.None", "FStar.Pervasives.Native.Some" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b)
[]
FStar.InteractiveHelpers.Base.opt_apply
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
f: (_: a -> b) -> x: FStar.Pervasives.Native.option a -> FStar.Pervasives.Native.option b
{ "end_col": 26, "end_line": 36, "start_col": 2, "start_line": 34 }
FStar.Tactics.Effect.Tac
val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x')
val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x =
true
null
false
match x with | None -> None | Some x' -> Some (f x')
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.None", "FStar.Pervasives.Native.Some" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b)
[]
FStar.InteractiveHelpers.Base.opt_tapply
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
f: (_: a -> FStar.Tactics.Effect.Tac b) -> x: FStar.Pervasives.Native.option a -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option b)
{ "end_col": 26, "end_line": 42, "start_col": 2, "start_line": 40 }
Prims.Tot
val bv_eq : bv -> bv -> Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index
val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2: bv) =
false
null
false
let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in bvv1.bv_index = bvv2.bv_index
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.Reflection.Types.bv", "Prims.op_Equality", "Prims.nat", "FStar.Reflection.V1.Data.__proj__Mkbv_view__item__bv_index", "FStar.Reflection.V1.Data.bv_view", "Prims.precedes", "FStar.Reflection.V1.Builtins.inspect_bv", "Prims.bool" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *)
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bv_eq : bv -> bv -> Tot bool
[]
FStar.InteractiveHelpers.Base.bv_eq
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
bv1: FStar.Reflection.Types.bv -> bv2: FStar.Reflection.Types.bv -> Prims.bool
{ "end_col": 31, "end_line": 17, "start_col": 26, "start_line": 11 }
Prims.Tot
val bv_is_abstract : genv -> bv -> Tot bool
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs
val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv =
false
null
false
match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.bv", "FStar.InteractiveHelpers.Base.genv_get", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Reflection.Types.term" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool
false
true
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bv_is_abstract : genv -> bv -> Tot bool
[]
FStar.InteractiveHelpers.Base.bv_is_abstract
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> bv: FStar.Reflection.Types.bv -> Prims.bool
{ "end_col": 27, "end_line": 301, "start_col": 2, "start_line": 299 }
FStar.Tactics.Effect.Tac
val genv_get_from_name (ge: genv) (name: string) : Tac (option ((bv & typ) & (bool & term)))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x))
val genv_get_from_name (ge: genv) (name: string) : Tac (option ((bv & typ) & (bool & term))) let genv_get_from_name (ge: genv) (name: string) : Tac (option ((bv & typ) & (bool & term))) =
true
null
false
match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x))
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "Prims.string", "FStar.Pervasives.Native.None", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Reflection.Types.term", "FStar.Pervasives.Native.Some", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple3", "FStar.InteractiveHelpers.Base.bind_map_get_from_name", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) =
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_get_from_name (ge: genv) (name: string) : Tac (option ((bv & typ) & (bool & term)))
[]
FStar.InteractiveHelpers.Base.genv_get_from_name
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> name: Prims.string -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * (Prims.bool * FStar.Reflection.Types.term)))
{ "end_col": 56, "end_line": 268, "start_col": 2, "start_line": 266 }
FStar.Tactics.Effect.Tac
val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")"
val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x =
true
null
false
match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")"
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "Prims.string", "FStar.Pervasives.Native.option", "Prims.op_Hat" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string
[]
FStar.InteractiveHelpers.Base.option_to_string
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
f: (_: a -> FStar.Tactics.Effect.Tac Prims.string) -> x: FStar.Pervasives.Native.option a -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 36, "end_line": 48, "start_col": 2, "start_line": 46 }
Prims.Tot
val opt_cons (#a: Type) (opt_x: option a) (ls: list a) : Tot (list a)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls
val opt_cons (#a: Type) (opt_x: option a) (ls: list a) : Tot (list a) let opt_cons (#a: Type) (opt_x: option a) (ls: list a) : Tot (list a) =
false
null
false
match opt_x with | Some x -> x :: ls | None -> ls
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.Pervasives.Native.option", "Prims.list", "Prims.Cons" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")"
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val opt_cons (#a: Type) (opt_x: option a) (ls: list a) : Tot (list a)
[]
FStar.InteractiveHelpers.Base.opt_cons
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
opt_x: FStar.Pervasives.Native.option a -> ls: Prims.list a -> Prims.list a
{ "end_col": 14, "end_line": 54, "start_col": 2, "start_line": 52 }
FStar.Tactics.Effect.Tac
val genv_push_bv (ge: genv) (b: bv) (sort: typ) (abs: bool) (t: option term) : Tac genv
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars'
val genv_push_bv (ge: genv) (b: bv) (sort: typ) (abs: bool) (t: option term) : Tac genv let genv_push_bv (ge: genv) (b: bv) (sort: typ) (abs: bool) (t: option term) : Tac genv =
true
null
false
let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars'
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "Prims.bool", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.term", "FStar.InteractiveHelpers.Base.mk_genv", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "FStar.InteractiveHelpers.Base.bind_map_push", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__bmap", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.__proj__Some__item__v", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.Reflection.Types.env", "FStar.Reflection.V1.Builtins.push_binder", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__env", "Prims.Cons", "FStar.Pervasives.Native.fst", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__svars", "FStar.InteractiveHelpers.Base.genv_get_from_name", "Prims.string", "FStar.Tactics.V1.Derived.name_of_bv", "FStar.Reflection.Types.binder", "FStar.Reflection.V1.Derived.mk_binder" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val genv_push_bv (ge: genv) (b: bv) (sort: typ) (abs: bool) (t: option term) : Tac genv
[]
FStar.InteractiveHelpers.Base.genv_push_bv
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> b: FStar.Reflection.Types.bv -> sort: FStar.Reflection.Types.typ -> abs: Prims.bool -> t: FStar.Pervasives.Native.option FStar.Reflection.Types.term -> FStar.Tactics.Effect.Tac FStar.InteractiveHelpers.Base.genv
{ "end_col": 25, "end_line": 279, "start_col": 84, "start_line": 272 }
Prims.Tot
val bind_map_get (#a: Type) (m: bind_map a) (b: bv) : Tot (option a)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b
val bind_map_get (#a: Type) (m: bind_map a) (b: bv) : Tot (option a) let rec bind_map_get (#a: Type) (m: bind_map a) (b: bv) : Tot (option a) =
false
null
false
match m with | [] -> None | (b', x) :: m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "FStar.InteractiveHelpers.Base.bind_map", "FStar.Reflection.Types.bv", "FStar.Pervasives.Native.None", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "FStar.Order.order", "FStar.Reflection.V1.Builtins.compare_bv", "FStar.Order.Eq", "FStar.Pervasives.Native.Some", "Prims.bool", "FStar.InteractiveHelpers.Base.bind_map_get", "FStar.Pervasives.Native.option" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bind_map_get (#a: Type) (m: bind_map a) (b: bv) : Tot (option a)
[ "recursion" ]
FStar.InteractiveHelpers.Base.bind_map_get
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
m: FStar.InteractiveHelpers.Base.bind_map a -> b: FStar.Reflection.Types.bv -> FStar.Pervasives.Native.option a
{ "end_col": 68, "end_line": 202, "start_col": 2, "start_line": 199 }
FStar.Tactics.Effect.Tac
val opt_apply_subst : env -> option term -> list ((bv & typ) & term) -> Tac (option term)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let opt_apply_subst e opt_t subst = match opt_t with | None -> None | Some t -> Some (apply_subst e t subst)
val opt_apply_subst : env -> option term -> list ((bv & typ) & term) -> Tac (option term) let opt_apply_subst e opt_t subst =
true
null
false
match opt_t with | None -> None | Some t -> Some (apply_subst e t subst)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.env", "FStar.Pervasives.Native.option", "FStar.Reflection.Types.term", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "FStar.Pervasives.Native.None", "FStar.Pervasives.Native.Some", "FStar.InteractiveHelpers.Base.apply_subst" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2 let norm_apply_subst_in_comp e c subst = let subst = (fun x -> norm_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) /// As substitution with normalization is very expensive, we implemented another /// technique which works by exploring terms. This is super fast, but the terms /// seem not to be reconstructed in the same way, which has a big impact on pretty printing. /// For example, terms like [A /\ B] get printed as [Prims.l_and A B]. val deep_apply_subst : env -> term -> list (bv & term) -> Tac term // Whenever we encounter a construction which introduces a binder, we need to apply // the substitution in the binder type. Note that this gives a new binder, with // which we need to replace the old one in what follows. // Also note that it should be possible to rewrite [deep_apply_subst] in terms of [visit_tm], // but [deep_apply_subst] seems to be a bit more precise with regard to type replacements (not // sure it is really important, though). val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) val deep_apply_subst_in_binder : env -> binder -> list (bv & term) -> Tac (binder & list (bv & term)) val deep_apply_subst_in_comp : env -> comp -> list (bv & term) -> Tac comp val deep_apply_subst_in_pattern : env -> pattern -> list (bv & term) -> Tac (pattern & list (bv & term)) let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables (there is no longer a sort). But, shift the substitution. *) bv, (bv, pack (Tv_Var bv))::subst (* * AR: TODO: should apply subst in attrs? *) and deep_apply_subst_in_binder e br subst = let open inspect_binder br <: binder_view in let binder_sort = deep_apply_subst e binder_sort subst in let binder_bv, subst = deep_apply_subst_in_bv e binder_bv subst in pack_binder { binder_bv=binder_bv; binder_qual=binder_qual; binder_attrs=binder_attrs; binder_sort=binder_sort; }, subst and deep_apply_subst_in_comp e c subst = let subst = (fun x -> deep_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) and deep_apply_subst_in_pattern e pat subst = match pat with | Pat_Constant _ -> pat, subst | Pat_Cons fv us patterns -> (* The types of the variables in the patterns should be independent of each * other: we use fold_left only to incrementally update the substitution *) let patterns, subst = fold_right (fun (pat, b) (pats, subst) -> let pat, subst = deep_apply_subst_in_pattern e pat subst in ((pat, b) :: pats, subst)) patterns ([], subst) in Pat_Cons fv us patterns, subst | Pat_Var bv st -> let st = Sealed.seal (deep_apply_subst e (unseal st) subst) in let bv, subst = deep_apply_subst_in_bv e bv subst in Pat_Var bv st, subst | Pat_Dot_Term eopt -> Pat_Dot_Term (map_opt (fun t -> deep_apply_subst e t subst) eopt), subst /// The substitution functions actually used in the rest of the meta F* functions. /// For now, we use normalization because even though it is sometimes slow it /// gives prettier terms, and readability is the priority. In order to mitigate /// the performance issue, we try to minimize the number of calls to those functions, /// by doing lazy instantiations for example (rather than incrementally apply /// substitutions in a term, accumulate the substitutions and perform them all at once). /// TODO: would it be good to have a native substitution function in F* let apply_subst = norm_apply_subst let apply_subst_in_comp = norm_apply_subst_in_comp val opt_apply_subst : env -> option term -> list ((bv & typ) & term) -> Tac (option term)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val opt_apply_subst : env -> option term -> list ((bv & typ) & term) -> Tac (option term)
[]
FStar.InteractiveHelpers.Base.opt_apply_subst
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
e: FStar.Reflection.Types.env -> opt_t: FStar.Pervasives.Native.option FStar.Reflection.Types.term -> subst: Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.term) -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option FStar.Reflection.Types.term)
{ "end_col": 42, "end_line": 591, "start_col": 2, "start_line": 589 }
FStar.Tactics.Effect.Tac
val _generate_shadowed_subst (ge: genv) (t: term) (bvl: list (bv & typ)) : Tac (genv & list (bv & typ & bv))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec _generate_shadowed_subst (ge:genv) (t:term) (bvl : list (bv & typ)) : Tac (genv & list (bv & typ & bv)) = match bvl with | [] -> ge, [] | old_bv :: bvl' -> match inspect t with | Tv_Abs b _ -> (* Introduce the new binder *) let bv = (inspect_binder b).binder_bv in let bvv = inspect_bv bv in let ty = binder_sort b in let name = unseal bvv.bv_ppname in let ge1, fresh = genv_push_fresh_bv ge ("__" ^ name) ty in let t1 = mk_e_app t [pack (Tv_Var fresh)] in let t2 = norm_term_env ge1.env [] t1 in (* Recursion *) let ge2, nbvl = _generate_shadowed_subst ge1 t2 bvl' in (* Return *) ge2, (fst old_bv, ty, fresh) :: nbvl | _ -> mfail "_subst_with_fresh_vars: not a Tv_Abs"
val _generate_shadowed_subst (ge: genv) (t: term) (bvl: list (bv & typ)) : Tac (genv & list (bv & typ & bv)) let rec _generate_shadowed_subst (ge: genv) (t: term) (bvl: list (bv & typ)) : Tac (genv & list (bv & typ & bv)) =
true
null
false
match bvl with | [] -> ge, [] | old_bv :: bvl' -> match inspect t with | Tv_Abs b _ -> let bv = (inspect_binder b).binder_bv in let bvv = inspect_bv bv in let ty = binder_sort b in let name = unseal bvv.bv_ppname in let ge1, fresh = genv_push_fresh_bv ge ("__" ^ name) ty in let t1 = mk_e_app t [pack (Tv_Var fresh)] in let t2 = norm_term_env ge1.env [] t1 in let ge2, nbvl = _generate_shadowed_subst ge1 t2 bvl' in ge2, (fst old_bv, ty, fresh) :: nbvl | _ -> mfail "_subst_with_fresh_vars: not a Tv_Abs"
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.genv", "FStar.Reflection.Types.term", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Reflection.Types.typ", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple3", "Prims.Nil", "FStar.Reflection.Types.binder", "Prims.Cons", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.fst", "FStar.InteractiveHelpers.Base._generate_shadowed_subst", "FStar.Tactics.V1.Builtins.norm_term_env", "FStar.InteractiveHelpers.Base.__proj__Mkgenv__item__env", "FStar.Pervasives.norm_step", "FStar.Reflection.V1.Derived.mk_e_app", "FStar.Tactics.V1.Builtins.pack", "FStar.Reflection.V1.Data.Tv_Var", "FStar.InteractiveHelpers.Base.genv_push_fresh_bv", "Prims.op_Hat", "Prims.string", "FStar.Tactics.Unseal.unseal", "FStar.Reflection.V1.Data.__proj__Mkbv_view__item__bv_ppname", "FStar.Tactics.V1.Derived.binder_sort", "FStar.Reflection.V1.Data.bv_view", "Prims.precedes", "FStar.Reflection.V1.Builtins.inspect_bv", "FStar.Reflection.V1.Data.__proj__Mkbinder_view__item__binder_bv", "FStar.Reflection.V1.Builtins.inspect_binder", "FStar.Reflection.V1.Data.term_view", "FStar.InteractiveHelpers.Base.mfail", "FStar.Tactics.V1.Builtins.inspect" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name noeq type genv = { env : env; (* Whenever we evaluate a let binding, we keep track of the relation between * the binder and its definition. * The boolean indicates whether or not the variable is considered abstract. We * often need to introduce variables which don't appear in the user context, for * example when we need to deal with a postcondition for Stack or ST, which handles * the previous and new memory states, and which may not be available in the user * context, or where we don't always know which variable to use. * In this case, whenever we output the term, we write its content as an * abstraction applied to those missing parameters. For instance, in the * case of the assertion introduced for a post-condition: * [> assert((fun h1 h2 -> post) h1 h2); * Besides the informative goal, the user can replace those parameters (h1 * and h2 above) by the proper ones then normalize the assertion by using * the appropriate command to get a valid assertion. *) bmap : bind_map (typ & bool & term); (* Whenever we introduce a new variable, we check whether it shadows another * variable because it has the same name, and put it in the below * list. Of course, for the F* internals such shadowing is not an issue, because * the index of every variable should be different, but this is very important * when generating code for the user *) svars : list (bv & typ); } let get_env (e:genv) : env = e.env let get_bind_map (e:genv) : bind_map (typ & bool & term) = e.bmap let mk_genv env bmap svars : genv = Mkgenv env bmap svars let mk_init_genv env : genv = mk_genv env [] [] val genv_to_string : genv -> Tac string let genv_to_string ge = let binder_to_string (b : binder) : Tac string = abv_to_string (bv_of_binder b) ^ "\n" in let binders_str = map binder_to_string (binders_of_env ge.env) in let bmap_elem_to_string (e : bv & (typ & bool & term)) : Tac string = let bv, (_sort, abs, t) = e in "(" ^ abv_to_string bv ^" -> (" ^ string_of_bool abs ^ ", " ^ term_to_string t ^ "))\n" in let bmap_str = map bmap_elem_to_string ge.bmap in let svars_str = map (fun (bv, _) -> abv_to_string bv ^ "\n") ge.svars in let flatten = List.Tot.fold_left (fun x y -> x ^ y) "" in "> env:\n" ^ flatten binders_str ^ "> bmap:\n" ^ flatten bmap_str ^ "> svars:\n" ^ flatten svars_str let genv_get (ge:genv) (b:bv) : Tot (option (typ & bool & term)) = bind_map_get ge.bmap b let genv_get_from_name (ge:genv) (name:string) : Tac (option ((bv & typ) & (bool & term))) = (* tweak return a bit to include sort *) match bind_map_get_from_name ge.bmap name with | None -> None | Some (bv, (sort, b, x)) -> Some ((bv, sort), (b, x)) /// Push a binder to a ``genv``. Optionally takes a ``term`` which provides the /// term the binder is bound to (in a `let _ = _ in` construct for example). let genv_push_bv (ge:genv) (b:bv) (sort:typ) (abs:bool) (t:option term) : Tac genv = let br = mk_binder b sort in let sv = genv_get_from_name ge (name_of_bv b) in let svars' = if Some? sv then fst (Some?.v sv) :: ge.svars else ge.svars in let e' = push_binder ge.env br in let tm = if Some? t then Some?.v t else pack (Tv_Var b) in let bmap' = bind_map_push ge.bmap b (sort, abs, tm) in mk_genv e' bmap' svars' let genv_push_binder (ge:genv) (b:binder) (abs:bool) (t:option term) : Tac genv = genv_push_bv ge (bv_of_binder b) (binder_sort b) abs t /// Check if a binder is shadowed by another more recent binder let bv_is_shadowed (ge : genv) (bv : bv) : Tot bool = List.Tot.existsb (fun (b,_) -> bv_eq bv b) ge.svars let binder_is_shadowed (ge : genv) (b : binder) : Tot bool = bv_is_shadowed ge (bv_of_binder b) let find_shadowed_bvs (ge : genv) (bl : list bv) : Tot (list (bv & bool)) = List.Tot.map (fun b -> b, bv_is_shadowed ge b) bl let find_shadowed_binders (ge : genv) (bl : list binder) : Tot (list (binder & bool)) = List.Tot.map (fun b -> b, binder_is_shadowed ge b) bl val bv_is_abstract : genv -> bv -> Tot bool let bv_is_abstract ge bv = match genv_get ge bv with | None -> false | Some (_, abs, _) -> abs val binder_is_abstract : genv -> binder -> Tot bool let binder_is_abstract ge b = bv_is_abstract ge (bv_of_binder b) val genv_abstract_bvs : genv -> Tot (list (bv & typ)) let genv_abstract_bvs ge = List.Tot.concatMap (fun (bv, (ty, abs, _)) -> if abs then [bv,ty] else []) ge.bmap /// Versions of ``fresh_bv`` and ``fresh_binder`` inspired by the standard library /// We make sure the name is fresh because we need to be able to generate valid code /// (it is thus not enough to have a fresh integer). let rec _fresh_bv binder_names basename i : Tac bv = let name = basename ^ string_of_int i in (* In worst case the performance is quadratic in the number of binders. * TODO: fix that, it actually probably happens for anonymous variables ('_') *) if List.mem name binder_names then _fresh_bv binder_names basename (i+1) else fresh_bv_named name let fresh_bv (e : env) (basename : string) : Tac bv = let binders = binders_of_env e in let binder_names = Tactics.map name_of_binder binders in _fresh_bv binder_names basename 0 let fresh_binder (e : env) (basename : string) (ty : typ) : Tac binder = let bv = fresh_bv e basename in mk_binder bv ty let genv_push_fresh_binder (ge : genv) (basename : string) (ty : typ) : Tac (genv & binder) = let b = fresh_binder ge.env basename ty in (* TODO: we can have a shortcircuit push (which performs less checks) *) let ge' = genv_push_binder ge b true None in ge', b // TODO: actually we should use push_fresh_bv more let push_fresh_binder (e : env) (basename : string) (ty : typ) : Tac (env & binder) = let b = fresh_binder e basename ty in let e' = push_binder e b in e', b let genv_push_fresh_bv (ge : genv) (basename : string) (ty : typ) : Tac (genv & bv) = let ge', b = genv_push_fresh_binder ge basename ty in ge', bv_of_binder b val push_fresh_var : env -> string -> typ -> Tac (term & binder & env) let push_fresh_var e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, e1 val genv_push_fresh_var : genv -> string -> typ -> Tac (term & binder & genv) let genv_push_fresh_var ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in v1, b1, ge1 val push_two_fresh_vars : env -> string -> typ -> Tac (term & binder & term & binder & env) let push_two_fresh_vars e0 basename ty = let e1, b1 = push_fresh_binder e0 basename ty in let e2, b2 = push_fresh_binder e1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, e2 val genv_push_two_fresh_vars : genv -> string -> typ -> Tac (term & binder & term & binder & genv) let genv_push_two_fresh_vars ge0 basename ty = let ge1, b1 = genv_push_fresh_binder ge0 basename ty in let ge2, b2 = genv_push_fresh_binder ge1 basename ty in let v1 = pack (Tv_Var (bv_of_binder b1)) in let v2 = pack (Tv_Var (bv_of_binder b2)) in v1, b1, v2, b2, ge2 (*** Substitutions *) /// Substitutions /// Custom substitutions using the normalizer. This is the easiest and safest /// way to perform a substitution: if you want to substitute [v] with [t] in [exp], /// just normalize [(fun v -> exp) t]. Note that this may be computationally expensive. val norm_apply_subst : env -> term -> list ((bv & typ) & term) -> Tac term val norm_apply_subst_in_comp : env -> comp -> list ((bv & typ) & term) -> Tac comp let norm_apply_subst e t subst = let bl, vl = unzip subst in let bl = List.Tot.map (fun (bv,ty) -> mk_binder bv ty) bl in let t1 = mk_abs bl t in let t2 = mk_e_app t1 vl in norm_term_env e [] t2 let norm_apply_subst_in_comp e c subst = let subst = (fun x -> norm_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) /// As substitution with normalization is very expensive, we implemented another /// technique which works by exploring terms. This is super fast, but the terms /// seem not to be reconstructed in the same way, which has a big impact on pretty printing. /// For example, terms like [A /\ B] get printed as [Prims.l_and A B]. val deep_apply_subst : env -> term -> list (bv & term) -> Tac term // Whenever we encounter a construction which introduces a binder, we need to apply // the substitution in the binder type. Note that this gives a new binder, with // which we need to replace the old one in what follows. // Also note that it should be possible to rewrite [deep_apply_subst] in terms of [visit_tm], // but [deep_apply_subst] seems to be a bit more precise with regard to type replacements (not // sure it is really important, though). val deep_apply_subst_in_bv : env -> bv -> list (bv & term) -> Tac (bv & list (bv & term)) val deep_apply_subst_in_binder : env -> binder -> list (bv & term) -> Tac (binder & list (bv & term)) val deep_apply_subst_in_comp : env -> comp -> list (bv & term) -> Tac comp val deep_apply_subst_in_pattern : env -> pattern -> list (bv & term) -> Tac (pattern & list (bv & term)) let rec deep_apply_subst e t subst = match inspect t with | Tv_Var b -> begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_BVar b -> (* Note: Tv_BVar shouldn't happen *) begin match bind_map_get subst b with | None -> t | Some t' -> t' end | Tv_FVar _ -> t | Tv_App hd (a,qual) -> let hd = deep_apply_subst e hd subst in let a = deep_apply_subst e a subst in pack (Tv_App hd (a, qual)) | Tv_Abs br body -> let body = deep_apply_subst e body subst in pack (Tv_Abs br body) | Tv_Arrow br c -> let br, subst = deep_apply_subst_in_binder e br subst in let c = deep_apply_subst_in_comp e c subst in pack (Tv_Arrow br c) | Tv_Type _ -> t | Tv_Refine bv sort ref -> let sort = deep_apply_subst e sort subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let ref = deep_apply_subst e ref subst in pack (Tv_Refine bv sort ref) | Tv_Const _ -> t | Tv_Uvar _ _ -> t | Tv_Let recf attrs bv ty def body -> (* No need to substitute in the attributes - that we filter for safety *) let ty = deep_apply_subst e ty subst in let def = deep_apply_subst e def subst in let bv, subst = deep_apply_subst_in_bv e bv subst in let body = deep_apply_subst e body subst in pack (Tv_Let recf [] bv ty def body) | Tv_Match scrutinee ret_opt branches -> (* TODO: type of pattern variables *) let scrutinee = deep_apply_subst e scrutinee subst in let ret_opt = map_opt (fun (b, asc) -> let b, subst = deep_apply_subst_in_binder e b subst in let asc = match asc with | Inl t, tacopt, use_eq -> Inl (deep_apply_subst e t subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq | Inr c, tacopt, use_eq -> Inr (deep_apply_subst_in_comp e c subst), map_opt (fun tac -> deep_apply_subst e tac subst) tacopt, use_eq in b, asc) ret_opt in (* For the branches: we don't need to explore the patterns *) let deep_apply_subst_in_branch branch = let pat, tm = branch in let pat, subst = deep_apply_subst_in_pattern e pat subst in let tm = deep_apply_subst e tm subst in pat, tm in let branches = map deep_apply_subst_in_branch branches in pack (Tv_Match scrutinee ret_opt branches) | Tv_AscribedT exp ty tac use_eq -> let exp = deep_apply_subst e exp subst in let ty = deep_apply_subst e ty subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedT exp ty None use_eq) | Tv_AscribedC exp c tac use_eq -> let exp = deep_apply_subst e exp subst in let c = deep_apply_subst_in_comp e c subst in (* no need to apply it on the tactic - that we filter for safety *) pack (Tv_AscribedC exp c None use_eq) | _ -> (* Unknown *) t and deep_apply_subst_in_bv e bv subst = (* No substitution needs to happen for variables (there is no longer a sort). But, shift the substitution. *) bv, (bv, pack (Tv_Var bv))::subst (* * AR: TODO: should apply subst in attrs? *) and deep_apply_subst_in_binder e br subst = let open inspect_binder br <: binder_view in let binder_sort = deep_apply_subst e binder_sort subst in let binder_bv, subst = deep_apply_subst_in_bv e binder_bv subst in pack_binder { binder_bv=binder_bv; binder_qual=binder_qual; binder_attrs=binder_attrs; binder_sort=binder_sort; }, subst and deep_apply_subst_in_comp e c subst = let subst = (fun x -> deep_apply_subst e x subst) in let subst_in_aqualv a : Tac aqualv = match a with | Q_Implicit | Q_Explicit -> a | Q_Meta t -> Q_Meta (subst t) in match inspect_comp c with | C_Total ret -> let ret = subst ret in pack_comp (C_Total ret) | C_GTotal ret -> let ret = subst ret in pack_comp (C_GTotal ret) | C_Lemma pre post patterns -> let pre = subst pre in let post = subst post in let patterns = subst patterns in pack_comp (C_Lemma pre post patterns) | C_Eff us eff_name result eff_args decrs -> let result = subst result in let eff_args = map (fun (x, a) -> (subst x, subst_in_aqualv a)) eff_args in let decrs = map subst decrs in pack_comp (C_Eff us eff_name result eff_args decrs) and deep_apply_subst_in_pattern e pat subst = match pat with | Pat_Constant _ -> pat, subst | Pat_Cons fv us patterns -> (* The types of the variables in the patterns should be independent of each * other: we use fold_left only to incrementally update the substitution *) let patterns, subst = fold_right (fun (pat, b) (pats, subst) -> let pat, subst = deep_apply_subst_in_pattern e pat subst in ((pat, b) :: pats, subst)) patterns ([], subst) in Pat_Cons fv us patterns, subst | Pat_Var bv st -> let st = Sealed.seal (deep_apply_subst e (unseal st) subst) in let bv, subst = deep_apply_subst_in_bv e bv subst in Pat_Var bv st, subst | Pat_Dot_Term eopt -> Pat_Dot_Term (map_opt (fun t -> deep_apply_subst e t subst) eopt), subst /// The substitution functions actually used in the rest of the meta F* functions. /// For now, we use normalization because even though it is sometimes slow it /// gives prettier terms, and readability is the priority. In order to mitigate /// the performance issue, we try to minimize the number of calls to those functions, /// by doing lazy instantiations for example (rather than incrementally apply /// substitutions in a term, accumulate the substitutions and perform them all at once). /// TODO: would it be good to have a native substitution function in F* let apply_subst = norm_apply_subst let apply_subst_in_comp = norm_apply_subst_in_comp val opt_apply_subst : env -> option term -> list ((bv & typ) & term) -> Tac (option term) let opt_apply_subst e opt_t subst = match opt_t with | None -> None | Some t -> Some (apply_subst e t subst) (*** Variable shadowing *) /// Introduce fresh variables to generate a substitution for the variables shadowed /// in the current environment. val generate_shadowed_subst : genv -> Tac (genv & list (bv & typ & bv)) /// In order to introduce variables with coherent types (the variables' types /// may be dependent) and make things simpler, we build one big term: /// [> (fun x1 x2 ... xn -> ()) /// Then, for each variable, we introduce a fresh variable with the same type as /// the outermost abstraction, apply the above term to this new variable and /// normalize to "apply" the substitution and reveal the next binding. let rec _generate_shadowed_subst (ge:genv) (t:term) (bvl : list (bv & typ)) :
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val _generate_shadowed_subst (ge: genv) (t: term) (bvl: list (bv & typ)) : Tac (genv & list (bv & typ & bv))
[ "recursion" ]
FStar.InteractiveHelpers.Base._generate_shadowed_subst
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
ge: FStar.InteractiveHelpers.Base.genv -> t: FStar.Reflection.Types.term -> bvl: Prims.list (FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) -> FStar.Tactics.Effect.Tac (FStar.InteractiveHelpers.Base.genv * Prims.list ((FStar.Reflection.Types.bv * FStar.Reflection.Types.typ) * FStar.Reflection.Types.bv))
{ "end_col": 55, "end_line": 624, "start_col": 2, "start_line": 607 }
Prims.Tot
val unzip (#a #b: _) (l: list (a & b)) : Tot (list a & list b)
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2)
val unzip (#a #b: _) (l: list (a & b)) : Tot (list a & list b) let rec unzip #a #b (l: list (a & b)) : Tot (list a & list b) =
false
null
false
match l with | [] -> ([], []) | (hd1, hd2) :: tl -> let tl1, tl2 = unzip tl in (hd1 :: tl1, hd2 :: tl2)
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[ "total" ]
[ "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "Prims.Nil", "Prims.Cons", "FStar.InteractiveHelpers.Base.unzip" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val unzip (#a #b: _) (l: list (a & b)) : Tot (list a & list b)
[ "recursion" ]
FStar.InteractiveHelpers.Base.unzip
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
l: Prims.list (a * b) -> Prims.list a * Prims.list b
{ "end_col": 26, "end_line": 79, "start_col": 2, "start_line": 75 }
FStar.Tactics.Effect.Tac
val bind_map_get_from_name (#a: Type) (m: bind_map a) (name: string) : Tac (option (bv & a))
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) : Tac (option (bv & a)) = match m with | [] -> None | (b', x)::m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name
val bind_map_get_from_name (#a: Type) (m: bind_map a) (name: string) : Tac (option (bv & a)) let rec bind_map_get_from_name (#a: Type) (m: bind_map a) (name: string) : Tac (option (bv & a)) =
true
null
false
match m with | [] -> None | (b', x) :: m' -> let b'v = inspect_bv b' in if unseal b'v.bv_ppname = name then Some (b', x) else bind_map_get_from_name m' name
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.InteractiveHelpers.Base.bind_map", "Prims.string", "FStar.Pervasives.Native.None", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.Types.bv", "FStar.Pervasives.Native.option", "Prims.list", "FStar.Pervasives.Native.Some", "FStar.Pervasives.Native.Mktuple2", "Prims.bool", "FStar.InteractiveHelpers.Base.bind_map_get_from_name", "Prims.op_Equality", "FStar.Tactics.Unseal.unseal", "FStar.Reflection.V1.Data.__proj__Mkbv_view__item__bv_ppname", "FStar.Reflection.V1.Data.bv_view", "Prims.precedes", "FStar.Reflection.V1.Builtins.inspect_bv" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e) let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str exception MetaAnalysis of string let mfail str = raise (MetaAnalysis str) (*** Debugging *) /// Some debugging facilities val print_dbg : bool -> string -> Tac unit let print_dbg debug s = if debug then print s /// Return the qualifier of a term as a string val term_view_construct (t : term_view) : Tac string let term_view_construct (t : term_view) : Tac string = match t with | Tv_Var _ -> "Tv_Var" | Tv_BVar _ -> "Tv_BVar" | Tv_FVar _ -> "Tv_FVar" | Tv_App _ _ -> "Tv_App" | Tv_Abs _ _ -> "Tv_Abs" | Tv_Arrow _ _ -> "Tv_Arrow" | Tv_Type _ -> "Tv_Type" | Tv_Refine _ _ _ -> "Tv_Refine" | Tv_Const _ -> "Tv_Const" | Tv_Uvar _ _ -> "Tv_Uvar" | Tv_Let _ _ _ _ _ _ -> "Tv_Let" | Tv_Match _ _ _ -> "Tv_Match" | Tv_AscribedT _ _ _ _ -> "Tv_AscribedT" | Tv_AscribedC _ _ _ _ -> "Tv_AScribedC" | _ -> "Tv_Unknown" val term_construct (t : term) : Tac string let term_construct (t : term) : Tac string = term_view_construct (inspect t) (*** Pretty printing *) /// There are many issues linked to terms (pretty) printing. /// The first issue is that when parsing terms, F* automatically inserts /// ascriptions, which then clutter the terms printed to the user. The current /// workaround is to filter those ascriptions in the terms before exploiting them. /// TODO: this actually doesn't work for some unknown reason: some terms like [a /\ b] /// become [l_and a b]... val filter_ascriptions : bool -> term -> Tac term let filter_ascriptions dbg t = print_dbg dbg ("[> filter_ascriptions: " ^ term_view_construct t ^ ": " ^ term_to_string t ); visit_tm (fun t -> match inspect t with | Tv_AscribedT e _ _ _ | Tv_AscribedC e _ _ _ -> e | _ -> t) t /// Our prettification function. Apply it to all the terms which might be printed /// back to the user. Note that the time at which the function is applied is /// important: we can't apply it on all the assertions we export to the user, just /// before exporting, because we may have inserted ascriptions on purpose, which /// would then be filtered away. val prettify_term : bool -> term -> Tac term let prettify_term dbg t = filter_ascriptions dbg t (*** Environments *) /// We need a way to handle environments with variable bindings /// and name shadowing, to properly display the context to the user. /// A map linking variables to terms. For now we use a list to define it, because /// there shouldn't be too many bindings. type bind_map (a : Type) = list (bv & a) let bind_map_push (#a:Type) (m:bind_map a) (b:bv) (x:a) = (b,x)::m let rec bind_map_get (#a:Type) (m:bind_map a) (b:bv) : Tot (option a) = match m with | [] -> None | (b', x)::m' -> if compare_bv b b' = Order.Eq then Some x else bind_map_get m' b let rec bind_map_get_from_name (#a:Type) (m:bind_map a) (name:string) :
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val bind_map_get_from_name (#a: Type) (m: bind_map a) (name: string) : Tac (option (bv & a))
[ "recursion" ]
FStar.InteractiveHelpers.Base.bind_map_get_from_name
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
m: FStar.InteractiveHelpers.Base.bind_map a -> name: Prims.string -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option (FStar.Reflection.Types.bv * a))
{ "end_col": 88, "end_line": 210, "start_col": 2, "start_line": 206 }
FStar.Tactics.Effect.Tac
val acomp_to_string (c: comp) : Tac string
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.InteractiveHelpers", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let acomp_to_string (c:comp) : Tac string = match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a : term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str
val acomp_to_string (c: comp) : Tac string let acomp_to_string (c: comp) : Tac string =
true
null
false
match inspect_comp c with | C_Total ret -> "C_Total (" ^ term_to_string ret ^ ")" | C_GTotal ret -> "C_GTotal (" ^ term_to_string ret ^ ")" | C_Lemma pre post patterns -> "C_Lemma (" ^ term_to_string pre ^ ") (" ^ term_to_string post ^ ")" | C_Eff us eff_name result eff_args _ -> let eff_arg_to_string (a: term) : Tac string = " (" ^ term_to_string a ^ ")" in let args_str = map (fun (x, y) -> eff_arg_to_string x) eff_args in let args_str = List.Tot.fold_left (fun x y -> x ^ y) "" args_str in "C_Eff (" ^ flatten_name eff_name ^ ") (" ^ term_to_string result ^ ")" ^ args_str
{ "checked_file": "FStar.InteractiveHelpers.Base.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.Tactics.Util.fst.checked", "FStar.Tactics.fst.checked", "FStar.Sealed.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Order.fst.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked" ], "interface_file": false, "source_file": "FStar.InteractiveHelpers.Base.fst" }
[]
[ "FStar.Reflection.Types.comp", "FStar.Reflection.V1.Builtins.inspect_comp", "FStar.Reflection.Types.typ", "Prims.op_Hat", "Prims.string", "FStar.Tactics.V1.Builtins.term_to_string", "FStar.Reflection.Types.term", "FStar.Reflection.V1.Data.universes", "FStar.Reflection.Types.name", "Prims.list", "FStar.Reflection.V1.Data.argv", "FStar.Reflection.V1.Derived.flatten_name", "FStar.List.Tot.Base.fold_left", "FStar.Tactics.Util.map", "FStar.Pervasives.Native.tuple2", "FStar.Reflection.V1.Data.aqualv" ]
[]
module FStar.InteractiveHelpers.Base open FStar.List open FStar.Tactics open FStar.Mul #push-options "--z3rlimit 15 --fuel 0 --ifuel 1" (*** Utilities *) val bv_eq : bv -> bv -> Tot bool let bv_eq (bv1 bv2 : bv) = let bvv1 = inspect_bv bv1 in let bvv2 = inspect_bv bv2 in (* We don't check for type equality: the fact that no two different binders * have the same name and index is an invariant which must be enforced - * and actually we could limit ourselves to checking the index *) bvv1.bv_index = bvv2.bv_index val fv_eq : fv -> fv -> Tot bool let fv_eq fv1 fv2 = let n1 = inspect_fv fv1 in let n2 = inspect_fv fv2 in n1 = n2 // TODO: use everywhere val fv_eq_name : fv -> name -> Tot bool let fv_eq_name fv n = let fvn = inspect_fv fv in fvn = n // TODO: use more val opt_apply (#a #b : Type) (f : a -> Tot b) (x : option a) : Tot (option b) let opt_apply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val opt_tapply (#a #b : Type) (f : a -> Tac b) (x : option a) : Tac (option b) let opt_tapply #a #b f x = match x with | None -> None | Some x' -> Some (f x') val option_to_string : (#a : Type) -> (a -> Tac string) -> option a -> Tac string let option_to_string #a f x = match x with | None -> "None" | Some x' -> "Some (" ^ f x' ^ ")" let opt_cons (#a : Type) (opt_x : option a) (ls : list a) : Tot (list a) = match opt_x with | Some x -> x :: ls | None -> ls val list_to_string : #a : Type -> (a -> Tac string) -> list a -> Tac string let list_to_string #a f ls = (Tactics.Util.fold_left (fun s x -> s ^ " (" ^ f x ^ ");") "[" ls) ^ "]" /// Apply a term to a list of parameters, normalize the result to make sure /// all the abstractions are simplified val mk_app_norm : env -> term -> list term -> Tac term let mk_app_norm e t params = let t1 = mk_e_app t params in let t2 = norm_term_env e [] t1 in t2 val opt_mk_app_norm : env -> option term -> list term -> Tac (option term) let opt_mk_app_norm e opt_t params = opt_tapply (fun t -> mk_app_norm e t params) opt_t // TODO: remove let rec unzip #a #b (l : list (a & b)) : Tot (list a & list b) = match l with | [] -> ([],[]) | (hd1,hd2)::tl -> let (tl1,tl2) = unzip tl in (hd1::tl1,hd2::tl2) /// Alternative ``bv_to_string`` function where we print the index of the bv. /// It can be very useful for debugging. let abv_to_string bv : Tac string = let bvv = inspect_bv bv in name_of_bv bv ^ " (%" ^ string_of_int (bvv.bv_index) ^ ")" let print_binder_info (full : bool) (b : binder) : Tac unit = let open inspect_binder b <: binder_view in let qual_str = match binder_qual with | Q_Implicit -> "Implicit" | Q_Explicit -> "Explicit" | Q_Meta t -> "Meta: " ^ term_to_string t in let bview = inspect_bv binder_bv in if full then print ( "> print_binder_info:" ^ "\n- name: " ^ (name_of_binder b) ^ "\n- as string: " ^ (binder_to_string b) ^ "\n- aqual: " ^ qual_str ^ "\n- ppname: " ^ name_of_bv binder_bv ^ "\n- index: " ^ string_of_int bview.bv_index ^ "\n- sort: " ^ term_to_string binder_sort ) else print (binder_to_string b) let print_binders_info (full : bool) (e:env) : Tac unit = iter (print_binder_info full) (binders_of_env e)
false
false
FStar.InteractiveHelpers.Base.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 1, "max_fuel": 0, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 15, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val acomp_to_string (c: comp) : Tac string
[]
FStar.InteractiveHelpers.Base.acomp_to_string
{ "file_name": "ulib/experimental/FStar.InteractiveHelpers.Base.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
c: FStar.Reflection.Types.comp -> FStar.Tactics.Effect.Tac Prims.string
{ "end_col": 86, "end_line": 124, "start_col": 2, "start_line": 111 }
Prims.Tot
val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1}
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0
val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i =
false
null
false
if v t > v (cdf_table a).[ i ] then 1 else 0
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.uint16", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThan", "Spec.Frodo.Params.cdf_table_len", "Prims.op_GreaterThan", "Lib.IntTypes.v", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Lib.Sequence.op_String_Access", "Spec.Frodo.Params.cdf_table", "Prims.bool", "Prims.nat", "Prims.l_or", "Prims.op_Equality", "Prims.int" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1}
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1}
[]
Spec.Frodo.Sample.frodo_sample_f
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> t: Lib.IntTypes.uint16 -> i: Lib.IntTypes.size_nat{i < Spec.Frodo.Params.cdf_table_len a} -> res: Prims.nat{res = 0 \/ res = 1}
{ "end_col": 44, "end_line": 26, "start_col": 2, "start_line": 26 }
Prims.GTot
val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i)
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1)
val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i =
false
null
false
if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1)
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "sometrivial", "" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.uint16", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Spec.Frodo.Params.cdf_table_len", "Prims.op_Equality", "Prims.int", "Prims.bool", "Prims.op_Addition", "Spec.Frodo.Sample.frodo_sample_f", "Prims.op_Subtraction", "Spec.Frodo.Sample.frodo_sample_fc", "Prims.nat", "Prims.l_and" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i)
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i)
[ "recursion" ]
Spec.Frodo.Sample.frodo_sample_fc
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> t: Lib.IntTypes.uint16 -> i: Lib.IntTypes.size_nat{i <= Spec.Frodo.Params.cdf_table_len a} -> Prims.GTot (res: Prims.nat{0 <= res /\ res <= i})
{ "end_col": 63, "end_line": 38, "start_col": 2, "start_line": 37 }
Prims.Tot
val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample_res a r0 e = let open FStar.Math.Lib in let e = (powx (-1) (v r0)) * e in assert_norm (powx (-1) 1 == -1); assert_norm (powx (-1) 0 == 1); assert (-cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16)
val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16 let frodo_sample_res a r0 e =
false
null
false
let open FStar.Math.Lib in let e = (powx (- 1) (v r0)) * e in assert_norm (powx (- 1) 1 == - 1); assert_norm (powx (- 1) 0 == 1); assert (- cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16)
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.uint16", "Prims.b2t", "Prims.op_LessThanOrEqual", "Lib.IntTypes.v", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Prims.nat", "Prims.op_LessThan", "Spec.Frodo.Params.cdf_table_len", "Lib.IntTypes.u16", "Prims.op_Modulus", "Lib.IntTypes.modulus", "Prims.unit", "Prims._assert", "Prims.l_and", "Prims.op_Minus", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.int", "FStar.Math.Lib.powx", "FStar.Mul.op_Star" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1) val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16
[]
Spec.Frodo.Sample.frodo_sample_res
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> sign: Lib.IntTypes.uint16{Lib.IntTypes.v sign <= 1} -> e: Prims.nat{e < Spec.Frodo.Params.cdf_table_len a} -> Lib.IntTypes.uint16
{ "end_col": 23, "end_line": 53, "start_col": 2, "start_line": 48 }
Prims.Tot
val frodo_sample: a:frodo_alg -> r:uint16 -> uint16
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample a r = let t = r >>. 1ul in let r0 = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v r0 == 0 \/ v r0 == 1); let e = Loops.repeati_inductive (cdf_table_len a - 1) (fun z e -> 0 <= e /\ e <= z /\ e == frodo_sample_fc a t z) (fun z e -> frodo_sample_f a t z + e) 0 in frodo_sample_res a r0 e
val frodo_sample: a:frodo_alg -> r:uint16 -> uint16 let frodo_sample a r =
false
null
false
let t = r >>. 1ul in let r0 = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v r0 == 0 \/ v r0 == 1); let e = Loops.repeati_inductive (cdf_table_len a - 1) (fun z e -> 0 <= e /\ e <= z /\ e == frodo_sample_fc a t z) (fun z e -> frodo_sample_f a t z + e) 0 in frodo_sample_res a r0 e
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.uint16", "Spec.Frodo.Sample.frodo_sample_res", "Prims.int", "Prims.l_and", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.op_Subtraction", "Spec.Frodo.Params.cdf_table_len", "Prims.eq2", "Spec.Frodo.Sample.frodo_sample_fc", "Lib.LoopCombinators.repeati_inductive", "Prims.nat", "Prims.op_LessThan", "Prims.op_Addition", "Spec.Frodo.Sample.frodo_sample_f", "Prims.unit", "Prims._assert", "Prims.l_or", "Lib.IntTypes.v", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Lib.IntTypes.mod_mask", "FStar.UInt32.__uint_to_t", "Lib.IntTypes.mod_mask_lemma", "Lib.IntTypes.int_t", "Lib.IntTypes.op_Amp_Dot", "Lib.IntTypes.u16", "Lib.IntTypes.op_Greater_Greater_Dot" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1) val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16 let frodo_sample_res a r0 e = let open FStar.Math.Lib in let e = (powx (-1) (v r0)) * e in assert_norm (powx (-1) 1 == -1); assert_norm (powx (-1) 0 == 1); assert (-cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16) #push-options "--fuel 1"
false
true
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 1, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample: a:frodo_alg -> r:uint16 -> uint16
[]
Spec.Frodo.Sample.frodo_sample
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> r: Lib.IntTypes.uint16 -> Lib.IntTypes.uint16
{ "end_col": 25, "end_line": 70, "start_col": 22, "start_line": 58 }
Prims.Tot
val frodo_sample_matrix1: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> res:matrix n1 n2 -> matrix n1 n2
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample_matrix1 a n1 n2 r i res = Loops.repeati n2 (frodo_sample_matrix0 a n1 n2 r i) res
val frodo_sample_matrix1: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> res:matrix n1 n2 -> matrix n1 n2 let frodo_sample_matrix1 a n1 n2 r i res =
false
null
false
Loops.repeati n2 (frodo_sample_matrix0 a n1 n2 r i) res
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Lib.IntTypes.max_size_t", "Lib.ByteSequence.lbytes", "Prims.op_LessThan", "Spec.Matrix.matrix", "Lib.LoopCombinators.repeati", "Spec.Frodo.Sample.frodo_sample_matrix0" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1) val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16 let frodo_sample_res a r0 e = let open FStar.Math.Lib in let e = (powx (-1) (v r0)) * e in assert_norm (powx (-1) 1 == -1); assert_norm (powx (-1) 0 == 1); assert (-cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16) #push-options "--fuel 1" val frodo_sample: a:frodo_alg -> r:uint16 -> uint16 let frodo_sample a r = let t = r >>. 1ul in let r0 = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v r0 == 0 \/ v r0 == 1); let e = Loops.repeati_inductive (cdf_table_len a - 1) (fun z e -> 0 <= e /\ e <= z /\ e == frodo_sample_fc a t z) (fun z e -> frodo_sample_f a t z + e) 0 in frodo_sample_res a r0 e #pop-options // frodo_sample_matrix can be replaced with `creati` val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2 let frodo_sample_matrix0 a n1 n2 r i j res = lemma_matrix_index_repeati1 n1 n2 i j; res.(i, j) <- frodo_sample a (uint_from_bytes_le (LSeq.sub r (2 * (i * n2 + j)) 2)) val frodo_sample_matrix1: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> res:matrix n1 n2 -> matrix n1 n2
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_matrix1: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> res:matrix n1 n2 -> matrix n1 n2
[]
Spec.Frodo.Sample.frodo_sample_matrix1
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> n1: Lib.IntTypes.size_nat -> n2: Lib.IntTypes.size_nat{(2 * n1) * n2 <= Lib.IntTypes.max_size_t} -> r: Lib.ByteSequence.lbytes ((2 * n1) * n2) -> i: Lib.IntTypes.size_nat{i < n1} -> res: Spec.Matrix.matrix n1 n2 -> Spec.Matrix.matrix n1 n2
{ "end_col": 57, "end_line": 100, "start_col": 2, "start_line": 100 }
Prims.Tot
val frodo_sample_matrix: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> matrix n1 n2
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample_matrix a n1 n2 r = let res = Matrix.create n1 n2 in Loops.repeati n1 (frodo_sample_matrix1 a n1 n2 r) res
val frodo_sample_matrix: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> matrix n1 n2 let frodo_sample_matrix a n1 n2 r =
false
null
false
let res = Matrix.create n1 n2 in Loops.repeati n1 (frodo_sample_matrix1 a n1 n2 r) res
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Lib.IntTypes.max_size_t", "Lib.ByteSequence.lbytes", "Lib.LoopCombinators.repeati", "Spec.Matrix.matrix", "Spec.Frodo.Sample.frodo_sample_matrix1", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Prims.op_Multiply", "Spec.Matrix.create" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1) val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16 let frodo_sample_res a r0 e = let open FStar.Math.Lib in let e = (powx (-1) (v r0)) * e in assert_norm (powx (-1) 1 == -1); assert_norm (powx (-1) 0 == 1); assert (-cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16) #push-options "--fuel 1" val frodo_sample: a:frodo_alg -> r:uint16 -> uint16 let frodo_sample a r = let t = r >>. 1ul in let r0 = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v r0 == 0 \/ v r0 == 1); let e = Loops.repeati_inductive (cdf_table_len a - 1) (fun z e -> 0 <= e /\ e <= z /\ e == frodo_sample_fc a t z) (fun z e -> frodo_sample_f a t z + e) 0 in frodo_sample_res a r0 e #pop-options // frodo_sample_matrix can be replaced with `creati` val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2 let frodo_sample_matrix0 a n1 n2 r i j res = lemma_matrix_index_repeati1 n1 n2 i j; res.(i, j) <- frodo_sample a (uint_from_bytes_le (LSeq.sub r (2 * (i * n2 + j)) 2)) val frodo_sample_matrix1: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> res:matrix n1 n2 -> matrix n1 n2 let frodo_sample_matrix1 a n1 n2 r i res = Loops.repeati n2 (frodo_sample_matrix0 a n1 n2 r i) res val frodo_sample_matrix: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> matrix n1 n2
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_matrix: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> matrix n1 n2
[]
Spec.Frodo.Sample.frodo_sample_matrix
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> n1: Lib.IntTypes.size_nat -> n2: Lib.IntTypes.size_nat{(2 * n1) * n2 <= Lib.IntTypes.max_size_t} -> r: Lib.ByteSequence.lbytes ((2 * n1) * n2) -> Spec.Matrix.matrix n1 n2
{ "end_col": 55, "end_line": 112, "start_col": 35, "start_line": 110 }
Prims.Tot
val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2
[ { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "Matrix" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": false, "full_module": "Spec.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Spec.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Spec.Frodo", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let frodo_sample_matrix0 a n1 n2 r i j res = lemma_matrix_index_repeati1 n1 n2 i j; res.(i, j) <- frodo_sample a (uint_from_bytes_le (LSeq.sub r (2 * (i * n2 + j)) 2))
val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2 let frodo_sample_matrix0 a n1 n2 r i j res =
false
null
false
lemma_matrix_index_repeati1 n1 n2 i j; res.(i, j) <- frodo_sample a (uint_from_bytes_le (LSeq.sub r (2 * (i * n2 + j)) 2))
{ "checked_file": "Spec.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lib.fst.checked" ], "interface_file": false, "source_file": "Spec.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Lib.IntTypes.max_size_t", "Lib.ByteSequence.lbytes", "Prims.op_LessThan", "Spec.Matrix.matrix", "Spec.Matrix.op_Array_Assignment", "FStar.Pervasives.Native.Mktuple2", "Spec.Frodo.Sample.frodo_sample", "Lib.ByteSequence.uint_from_bytes_le", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Lib.Sequence.sub", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Prims.op_Addition", "Prims.unit", "Spec.Frodo.Lemmas.lemma_matrix_index_repeati1" ]
[]
module Spec.Frodo.Sample open FStar.Mul open Lib.IntTypes open Lib.Sequence open Lib.ByteSequence open Spec.Matrix open Spec.Frodo.Lemmas open Spec.Frodo.Params module LSeq = Lib.Sequence module Matrix = Spec.Matrix module Loops = Lib.LoopCombinators #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" val frodo_sample_f: a:frodo_alg -> t:uint16 -> i:size_nat{i < cdf_table_len a} -> res:nat{res = 0 \/ res = 1} let frodo_sample_f a t i = if v t > v (cdf_table a).[i] then 1 else 0 val frodo_sample_fc: a:frodo_alg -> t:uint16 -> i:size_nat{i <= cdf_table_len a} -> GTot (res:nat{0 <= res /\ res <= i}) (decreases i) let rec frodo_sample_fc a t i = if i = 0 then 0 else frodo_sample_f a t (i - 1) + frodo_sample_fc a t (i - 1) val frodo_sample_res: a:frodo_alg -> sign:uint16{v sign <= 1} -> e:nat{e < cdf_table_len a} -> uint16 let frodo_sample_res a r0 e = let open FStar.Math.Lib in let e = (powx (-1) (v r0)) * e in assert_norm (powx (-1) 1 == -1); assert_norm (powx (-1) 0 == 1); assert (-cdf_table_len a < e /\ e < cdf_table_len a); u16 (e % modulus U16) #push-options "--fuel 1" val frodo_sample: a:frodo_alg -> r:uint16 -> uint16 let frodo_sample a r = let t = r >>. 1ul in let r0 = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v r0 == 0 \/ v r0 == 1); let e = Loops.repeati_inductive (cdf_table_len a - 1) (fun z e -> 0 <= e /\ e <= z /\ e == frodo_sample_fc a t z) (fun z e -> frodo_sample_f a t z + e) 0 in frodo_sample_res a r0 e #pop-options // frodo_sample_matrix can be replaced with `creati` val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2
false
false
Spec.Frodo.Sample.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val frodo_sample_matrix0: a:frodo_alg -> n1:size_nat -> n2:size_nat{2 * n1 * n2 <= max_size_t} -> r:lbytes (2 * n1 * n2) -> i:size_nat{i < n1} -> j:size_nat{j < n2} -> res:matrix n1 n2 -> matrix n1 n2
[]
Spec.Frodo.Sample.frodo_sample_matrix0
{ "file_name": "specs/frodo/Spec.Frodo.Sample.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
a: Spec.Frodo.Params.frodo_alg -> n1: Lib.IntTypes.size_nat -> n2: Lib.IntTypes.size_nat{(2 * n1) * n2 <= Lib.IntTypes.max_size_t} -> r: Lib.ByteSequence.lbytes ((2 * n1) * n2) -> i: Lib.IntTypes.size_nat{i < n1} -> j: Lib.IntTypes.size_nat{j < n2} -> res: Spec.Matrix.matrix n1 n2 -> Spec.Matrix.matrix n1 n2
{ "end_col": 85, "end_line": 87, "start_col": 2, "start_line": 86 }
Prims.Tot
val flip (#a #b: Type) (c: (a * b)) : Tot (b * a)
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca)
val flip (#a #b: Type) (c: (a * b)) : Tot (b * a) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) =
false
null
false
let ca, cb = c in (cb, ca)
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } )
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val flip (#a #b: Type) (c: (a * b)) : Tot (b * a)
[]
LowParse.Spec.Enum.flip
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
c: (a * b) -> b * a
{ "end_col": 80, "end_line": 43, "start_col": 51, "start_line": 43 }
Prims.GTot
val feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v)) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v)) : GTot Type0 = (forall (x: u) . {:pattern (f1 x); (f2 x)} eq (f1 x) (f2 x))
val feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v)) : GTot Type0 let feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v)) : GTot Type0 =
false
null
false
(forall (x: u). {:pattern (f1 x); (f2 x)} eq (f1 x) (f2 x))
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "sometrivial" ]
[ "Prims.l_Forall" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input let parse_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_enum_key p e) input == (match parse p input with | Some (x, consumed) -> begin match maybe_enum_key_of_repr e x with | Known k -> Some (k, consumed) | _ -> None end | _ -> None )) = parse_filter_eq p (parse_enum_key_cond e) input; parse_synth_eq (p `parse_filter` parse_enum_key_cond e) (parse_enum_key_synth e) input let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr { maybe_enum_key_of_repr e r == x } ) = match x with | Known k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | Unknown r -> r let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) = serialize_synth p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () let serialize_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: maybe_enum_key e) : Lemma (serialize (serialize_maybe_enum_key p s e) x == serialize s (repr_of_maybe_enum_key e x)) = serialize_synth_eq p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () x let is_total_enum (#key: eqtype) (#repr: eqtype) (l: list (key * repr)) : GTot Type0 = forall (k: key) . {:pattern (list_mem k (list_map fst l))} list_mem k (list_map fst l) let total_enum (key: eqtype) (repr: eqtype) : Tot eqtype = (l: enum key repr { is_total_enum l } ) let synth_total_enum_key (#key: eqtype) (#repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key = let k' : key = k in k' let parse_total_enum_key (#k: parser_kind) (#key: eqtype) (#repr: eqtype) (p: parser k repr) (l: total_enum key repr) : Tot (parser (parse_filter_kind k) key) = parse_enum_key p l `parse_synth` (synth_total_enum_key l) let synth_total_enum_key_recip (#key: eqtype) (#repr: eqtype) (l: total_enum key repr) (k: key) : Tot (k' : enum_key l { synth_total_enum_key l k' == k } ) = k let serialize_total_enum_key (#k: parser_kind) (#key: eqtype) (#repr: eqtype) (p: parser k repr) (s: serializer p) (l: total_enum key repr) : Tot (serializer (parse_total_enum_key p l)) = serialize_synth (parse_enum_key p l) (synth_total_enum_key l) (serialize_enum_key p s l) (synth_total_enum_key_recip l) () type maybe_total_enum_key (#key #repr: eqtype) (e: total_enum key repr) = | TotalKnown of key | TotalUnknown of (unknown_enum_repr e) let maybe_total_enum_key_of_repr (#key #repr: eqtype) (e: total_enum key repr) (r: repr) : Tot (maybe_total_enum_key e) = if list_mem r (list_map snd e) then TotalKnown (enum_key_of_repr e r) else TotalUnknown r let parse_maybe_total_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: total_enum key repr) : Tot (parser k (maybe_total_enum_key e)) = p `parse_synth` (maybe_total_enum_key_of_repr e) let repr_of_maybe_total_enum_key (#key #repr: eqtype) (e: total_enum key repr) (k: maybe_total_enum_key e) : Tot (r: repr { maybe_total_enum_key_of_repr e r == k } ) = match k with | TotalKnown k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | TotalUnknown r -> r let serialize_maybe_total_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: total_enum key repr) : Tot (serializer (parse_maybe_total_enum_key p e)) = serialize_synth p (maybe_total_enum_key_of_repr e) s (repr_of_maybe_total_enum_key e) () inline_for_extraction let maybe_enum_key_of_total (#key #repr: eqtype) (e: total_enum key repr) (k: maybe_total_enum_key e) : Tot (maybe_enum_key e) = match k with | TotalKnown ek -> Known (ek <: key) | TotalUnknown r -> Unknown r inline_for_extraction let total_of_maybe_enum_key (#key #repr: eqtype) (e: total_enum key repr) (k: maybe_enum_key e) : Tot (maybe_total_enum_key e) = match k with | Known ek -> TotalKnown (ek <: key) | Unknown r -> TotalUnknown r let maybe_total_enum_key_of_repr_eq (#key #repr: eqtype) (e: total_enum key repr) (r: repr) : Lemma (maybe_total_enum_key_of_repr e r == total_of_maybe_enum_key e (maybe_enum_key_of_repr e r)) = () let parse_maybe_total_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: total_enum key repr) (input: bytes) : Lemma (parse (parse_maybe_total_enum_key p e) input == (parse (parse_maybe_enum_key p e `parse_synth` total_of_maybe_enum_key e) input)) = parse_synth_eq p (maybe_total_enum_key_of_repr e) input; parse_synth_eq (parse_maybe_enum_key p e) (total_of_maybe_enum_key e) input; parse_synth_eq p (maybe_enum_key_of_repr e) input (* Destructors *) (* Universal destructor *) let r_reflexive_prop (t: Type) (r: (t -> t -> GTot Type0)) : GTot Type0 = forall (x: t) . {:pattern (r x x)} r x x inline_for_extraction let r_reflexive_t (t: Type) (r: (t -> t -> GTot Type0)) : Tot Type = (x: t) -> Lemma (r x x) let r_reflexive_t_elim (t: Type) (r: (t -> t -> GTot Type0)) (phi: r_reflexive_t t r) : Lemma (r_reflexive_prop t r) = Classical.forall_intro phi let r_transitive_prop (t: Type) (r: (t -> t -> GTot Type0)) : GTot Type0 = forall (x y z: t) . {:pattern (r x y); (r y z)} (r x y /\ r y z) ==> r x z inline_for_extraction let r_transitive_t (t: Type) (r: (t -> t -> GTot Type0)) : Tot Type = (x: t) -> (y: t) -> (z: t) -> Lemma ((r x y /\ r y z) ==> r x z) let r_transitive_t_elim (t: Type) (r: (t -> t -> GTot Type0)) (phi: r_transitive_t t r) : Lemma (r_transitive_prop t r) = Classical.forall_intro_3 phi inline_for_extraction let if_combinator (t: Type) (eq: (t -> t -> GTot Type0)) : Tot Type = (cond: bool) -> (sv_true: (cond_true cond -> Tot t)) -> (sv_false: (cond_false cond -> Tot t)) -> Tot (y: t { eq y (if cond then sv_true () else sv_false ()) } ) inline_for_extraction let default_if (t: Type) : Tot (if_combinator t (eq2 #t)) = fun (cond: bool) (s_true: (cond_true cond -> Tot t)) (s_false: (cond_false cond -> Tot t)) -> (if cond then s_true () else s_false ()) <: (y: t { y == (if cond then s_true () else s_false ()) } ) let feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v))
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val feq (u v: Type) (eq: (v -> v -> GTot Type0)) (f1 f2: (u -> Tot v)) : GTot Type0
[]
LowParse.Spec.Enum.feq
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
u267: Type -> v: Type -> eq: (_: v -> _: v -> Prims.GTot Type0) -> f1: (_: u267 -> v) -> f2: (_: u267 -> v) -> Prims.GTot Type0
{ "end_col": 62, "end_line": 529, "start_col": 2, "start_line": 529 }
Prims.Tot
val synth_total_enum_key (#key #repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let synth_total_enum_key (#key: eqtype) (#repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key = let k' : key = k in k'
val synth_total_enum_key (#key #repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key let synth_total_enum_key (#key #repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key =
false
null
false
let k':key = k in k'
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.total_enum", "LowParse.Spec.Enum.enum_key" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input let parse_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_enum_key p e) input == (match parse p input with | Some (x, consumed) -> begin match maybe_enum_key_of_repr e x with | Known k -> Some (k, consumed) | _ -> None end | _ -> None )) = parse_filter_eq p (parse_enum_key_cond e) input; parse_synth_eq (p `parse_filter` parse_enum_key_cond e) (parse_enum_key_synth e) input let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr { maybe_enum_key_of_repr e r == x } ) = match x with | Known k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | Unknown r -> r let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) = serialize_synth p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () let serialize_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: maybe_enum_key e) : Lemma (serialize (serialize_maybe_enum_key p s e) x == serialize s (repr_of_maybe_enum_key e x)) = serialize_synth_eq p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () x let is_total_enum (#key: eqtype) (#repr: eqtype) (l: list (key * repr)) : GTot Type0 = forall (k: key) . {:pattern (list_mem k (list_map fst l))} list_mem k (list_map fst l) let total_enum (key: eqtype) (repr: eqtype) : Tot eqtype = (l: enum key repr { is_total_enum l } ) let synth_total_enum_key (#key: eqtype) (#repr: eqtype) (l: total_enum key repr) (k: enum_key l)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val synth_total_enum_key (#key #repr: eqtype) (l: total_enum key repr) (k: enum_key l) : Tot key
[]
LowParse.Spec.Enum.synth_total_enum_key
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
l: LowParse.Spec.Enum.total_enum key repr -> k: LowParse.Spec.Enum.enum_key l -> key
{ "end_col": 4, "end_line": 345, "start_col": 1, "start_line": 344 }
Prims.GTot
val parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e)
val parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool =
false
null
false
list_mem r (list_map snd e)
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "sometrivial" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "LowParse.Spec.Enum.list_mem", "LowParse.Spec.Enum.list_map", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.snd", "Prims.bool" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool
[]
LowParse.Spec.Enum.parse_enum_key_cond
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
e: LowParse.Spec.Enum.enum key repr -> r: repr -> Prims.GTot Prims.bool
{ "end_col": 29, "end_line": 146, "start_col": 2, "start_line": 146 }
Prims.Tot
val list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l': list b {l' == L.map f l})
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q
val list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l': list b {l' == L.map f l}) let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l': list b {l' == L.map f l}) =
false
null
false
match l with | [] -> [] | a :: q -> f a :: list_map f q
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "Prims.list", "Prims.Nil", "Prims.Cons", "LowParse.Spec.Enum.list_map", "Prims.eq2", "FStar.List.Tot.Base.map" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l': list b {l' == L.map f l})
[ "recursion" ]
LowParse.Spec.Enum.list_map
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
f: (_: a -> b) -> l: Prims.list a -> l': Prims.list b {l' == FStar.List.Tot.Base.map f l}
{ "end_col": 33, "end_line": 14, "start_col": 2, "start_line": 12 }
Prims.Tot
val list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool{y == true <==> L.mem x l == true})
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q)
val list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool{y == true <==> L.mem x l == true}) let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool{y == true <==> L.mem x l == true}) =
false
null
false
match l with | [] -> false | a :: q -> (x = a || list_mem x q)
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "Prims.eqtype", "Prims.list", "Prims.op_BarBar", "Prims.op_Equality", "LowParse.Spec.Enum.list_mem", "Prims.bool", "Prims.l_iff", "Prims.eq2", "FStar.List.Tot.Base.mem" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool{y == true <==> L.mem x l == true})
[ "recursion" ]
LowParse.Spec.Enum.list_mem
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
x: t -> l: Prims.list t -> y: Prims.bool{y == true <==> FStar.List.Tot.Base.mem x l == true}
{ "end_col": 37, "end_line": 29, "start_col": 2, "start_line": 27 }
Prims.GTot
val serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr{parse_enum_key_cond e r == true})
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k
val serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr{parse_enum_key_cond e r == true}) let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr{parse_enum_key_cond e r == true}) =
false
null
false
enum_repr_of_key e k
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "sometrivial" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "LowParse.Spec.Enum.enum_key", "LowParse.Spec.Enum.enum_repr_of_key", "Prims.eq2", "Prims.bool", "LowParse.Spec.Enum.parse_enum_key_cond" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr{parse_enum_key_cond e r == true})
[]
LowParse.Spec.Enum.serialize_enum_key_synth_recip
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
e: LowParse.Spec.Enum.enum key repr -> k: LowParse.Spec.Enum.enum_key e -> Prims.GTot (r: repr{LowParse.Spec.Enum.parse_enum_key_cond e r == true})
{ "end_col": 22, "end_line": 203, "start_col": 2, "start_line": 203 }
Prims.Tot
val repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr{maybe_enum_key_of_repr e r == x})
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr { maybe_enum_key_of_repr e r == x } ) = match x with | Known k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | Unknown r -> r
val repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr{maybe_enum_key_of_repr e r == x}) let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr{maybe_enum_key_of_repr e r == x}) =
false
null
false
match x with | Known k' -> enum_key_of_repr_of_key e k'; enum_repr_of_key e k' | Unknown r -> r
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "LowParse.Spec.Enum.maybe_enum_key", "LowParse.Spec.Enum.enum_key", "LowParse.Spec.Enum.enum_repr_of_key", "Prims.unit", "LowParse.Spec.Enum.enum_key_of_repr_of_key", "LowParse.Spec.Enum.unknown_enum_repr", "Prims.eq2", "LowParse.Spec.Enum.maybe_enum_key_of_repr" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input let parse_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_enum_key p e) input == (match parse p input with | Some (x, consumed) -> begin match maybe_enum_key_of_repr e x with | Known k -> Some (k, consumed) | _ -> None end | _ -> None )) = parse_filter_eq p (parse_enum_key_cond e) input; parse_synth_eq (p `parse_filter` parse_enum_key_cond e) (parse_enum_key_synth e) input let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr{maybe_enum_key_of_repr e r == x})
[]
LowParse.Spec.Enum.repr_of_maybe_enum_key
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
e: LowParse.Spec.Enum.enum key repr -> x: LowParse.Spec.Enum.maybe_enum_key e -> r: repr{LowParse.Spec.Enum.maybe_enum_key_of_repr e r == x}
{ "end_col": 18, "end_line": 310, "start_col": 2, "start_line": 306 }
Prims.Tot
val serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) = serialize_synth p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) ()
val serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) =
false
null
false
serialize_synth p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) ()
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "LowParse.Spec.Base.parser_kind", "Prims.eqtype", "LowParse.Spec.Base.parser", "LowParse.Spec.Base.serializer", "LowParse.Spec.Enum.enum", "LowParse.Spec.Combinators.serialize_synth", "LowParse.Spec.Enum.maybe_enum_key", "LowParse.Spec.Enum.maybe_enum_key_of_repr", "LowParse.Spec.Enum.repr_of_maybe_enum_key", "LowParse.Spec.Enum.parse_maybe_enum_key" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input let parse_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_enum_key p e) input == (match parse p input with | Some (x, consumed) -> begin match maybe_enum_key_of_repr e x with | Known k -> Some (k, consumed) | _ -> None end | _ -> None )) = parse_filter_eq p (parse_enum_key_cond e) input; parse_synth_eq (p `parse_filter` parse_enum_key_cond e) (parse_enum_key_synth e) input let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr { maybe_enum_key_of_repr e r == x } ) = match x with | Known k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | Unknown r -> r let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e))
[]
LowParse.Spec.Enum.serialize_maybe_enum_key
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
p: LowParse.Spec.Base.parser k repr -> s: LowParse.Spec.Base.serializer p -> e: LowParse.Spec.Enum.enum key repr -> LowParse.Spec.Base.serializer (LowParse.Spec.Enum.parse_maybe_enum_key p e)
{ "end_col": 78, "end_line": 319, "start_col": 2, "start_line": 319 }
FStar.Pervasives.Lemma
val assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y)) (ensures (L.assoc y (list_map flip l) == Some x))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y
val assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y)) (ensures (L.assoc y (list_map flip l) == Some x)) let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y)) (ensures (L.assoc y (list_map flip l) == Some x)) =
false
null
true
map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "lemma" ]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Enum.assoc_flip_elim", "LowParse.Spec.Enum.list_map", "LowParse.Spec.Enum.flip", "Prims.unit", "LowParse.Spec.Enum.map_flip_flip", "LowParse.Spec.Enum.map_snd_flip", "LowParse.Spec.Enum.map_fst_flip", "Prims.l_and", "Prims.b2t", "FStar.List.Tot.Base.noRepeats", "FStar.Pervasives.Native.fst", "FStar.Pervasives.Native.snd", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.Some", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y)) (ensures (L.assoc y (list_map flip l) == Some x))
[ "recursion" ]
LowParse.Spec.Enum.assoc_flip_intro
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
l: Prims.list (a * b) -> y: b -> x: a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.noRepeats (LowParse.Spec.Enum.list_map FStar.Pervasives.Native.fst l) /\ FStar.List.Tot.Base.noRepeats (LowParse.Spec.Enum.list_map FStar.Pervasives.Native.snd l) /\ FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.Some y) (ensures FStar.List.Tot.Base.assoc y (LowParse.Spec.Enum.list_map LowParse.Spec.Enum.flip l) == FStar.Pervasives.Native.Some x)
{ "end_col": 39, "end_line": 124, "start_col": 2, "start_line": 121 }
Prims.Pure
val make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key)))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k
val make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) =
false
null
false
k
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "LowParse.Spec.Enum.enum_key", "Prims.b2t", "LowParse.Spec.Enum.list_mem", "LowParse.Spec.Enum.list_map", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.fst", "Prims.eq2" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e)))
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key)))
[]
LowParse.Spec.Enum.make_enum_key
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
e: LowParse.Spec.Enum.enum key repr -> k: key -> Prims.Pure (LowParse.Spec.Enum.enum_key e)
{ "end_col": 3, "end_line": 38, "start_col": 2, "start_line": 38 }
FStar.Pervasives.Lemma
val serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e)
val serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) =
false
null
true
Classical.forall_intro (enum_key_of_repr_of_key e)
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "lemma" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "FStar.Classical.forall_intro", "LowParse.Spec.Enum.enum_key", "Prims.eq2", "LowParse.Spec.Enum.enum_key_of_repr", "LowParse.Spec.Enum.enum_repr_of_key", "LowParse.Spec.Enum.enum_key_of_repr_of_key", "Prims.unit", "Prims.l_True", "Prims.squash", "LowParse.Spec.Combinators.synth_inverse", "Prims.bool", "LowParse.Spec.Enum.parse_enum_key_cond", "LowParse.Spec.Enum.parse_enum_key_synth", "LowParse.Spec.Enum.serialize_enum_key_synth_recip", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e))
[]
LowParse.Spec.Enum.serialize_enum_key_synth_inverse
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
e: LowParse.Spec.Enum.enum key repr -> FStar.Pervasives.Lemma (ensures LowParse.Spec.Combinators.synth_inverse (LowParse.Spec.Enum.parse_enum_key_synth e) (LowParse.Spec.Enum.serialize_enum_key_synth_recip e))
{ "end_col": 52, "end_line": 210, "start_col": 2, "start_line": 210 }
FStar.Pervasives.Lemma
val assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l)
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y
val assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) =
false
null
true
let (x', y') :: l' = l in if x' = x then () else assoc_mem_snd l' x y
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "lemma", "" ]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims.bool", "LowParse.Spec.Enum.assoc_mem_snd", "Prims.unit", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.Some", "Prims.squash", "LowParse.Spec.Enum.list_mem", "LowParse.Spec.Enum.list_map", "FStar.Pervasives.Native.snd", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true))
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l)
[ "recursion" ]
LowParse.Spec.Enum.assoc_mem_snd
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
l: Prims.list (a * b) -> x: a -> y: b -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.Some y) (ensures LowParse.Spec.Enum.list_mem y (LowParse.Spec.Enum.list_map FStar.Pervasives.Native.snd l) == true) (decreases l)
{ "end_col": 27, "end_line": 75, "start_col": 1, "start_line": 72 }
FStar.Pervasives.Lemma
val assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x)) (ensures (L.assoc x l == Some y)) (decreases l)
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end
val assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x)) (ensures (L.assoc x l == Some y)) (decreases l) let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x)) (ensures (L.assoc x l == Some y)) (decreases l) =
false
null
true
let (x', y') :: l' = l in if y' = y then () else if x' = x then (assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False) else assoc_flip_elim l' y x
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "lemma", "" ]
[ "Prims.eqtype", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.op_Equality", "Prims.bool", "Prims._assert", "Prims.l_False", "Prims.unit", "LowParse.Spec.Enum.map_snd_flip", "LowParse.Spec.Enum.assoc_mem_snd", "LowParse.Spec.Enum.list_map", "LowParse.Spec.Enum.flip", "Prims.eq2", "LowParse.Spec.Enum.list_mem", "FStar.Pervasives.Native.fst", "LowParse.Spec.Enum.assoc_flip_elim", "Prims.l_and", "Prims.b2t", "FStar.List.Tot.Base.noRepeats", "FStar.Pervasives.Native.snd", "FStar.Pervasives.Native.option", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.Some", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y ))
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires (L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x)) (ensures (L.assoc x l == Some y)) (decreases l)
[ "recursion" ]
LowParse.Spec.Enum.assoc_flip_elim
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
l: Prims.list (a * b) -> y: b -> x: a -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.noRepeats (LowParse.Spec.Enum.list_map FStar.Pervasives.Native.fst l) /\ FStar.List.Tot.Base.noRepeats (LowParse.Spec.Enum.list_map FStar.Pervasives.Native.snd l) /\ FStar.List.Tot.Base.assoc y (LowParse.Spec.Enum.list_map LowParse.Spec.Enum.flip l) == FStar.Pervasives.Native.Some x) (ensures FStar.List.Tot.Base.assoc x l == FStar.Pervasives.Native.Some y) (decreases l)
{ "end_col": 5, "end_line": 105, "start_col": 1, "start_line": 92 }
FStar.Pervasives.Lemma
val parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input
val parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None)) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None)) =
false
null
true
parse_synth_eq p (maybe_enum_key_of_repr e) input
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.parser_kind", "Prims.eqtype", "LowParse.Spec.Base.parser", "LowParse.Spec.Enum.enum", "LowParse.Bytes.bytes", "LowParse.Spec.Combinators.parse_synth_eq", "LowParse.Spec.Enum.maybe_enum_key", "LowParse.Spec.Enum.maybe_enum_key_of_repr", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "LowParse.Spec.Enum.parse_maybe_enum_key", "FStar.Pervasives.Native.Some", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.None", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None))
[]
LowParse.Spec.Enum.parse_maybe_enum_key_eq
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
p: LowParse.Spec.Base.parser k repr -> e: LowParse.Spec.Enum.enum key repr -> input: LowParse.Bytes.bytes -> FStar.Pervasives.Lemma (ensures LowParse.Spec.Base.parse (LowParse.Spec.Enum.parse_maybe_enum_key p e) input == (match LowParse.Spec.Base.parse p input with | FStar.Pervasives.Native.Some #_ (FStar.Pervasives.Native.Mktuple2 #_ #_ x consumed) -> FStar.Pervasives.Native.Some (LowParse.Spec.Enum.maybe_enum_key_of_repr e x, consumed) | _ -> FStar.Pervasives.Native.None))
{ "end_col": 51, "end_line": 281, "start_col": 2, "start_line": 281 }
Prims.Tot
val parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e))
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e
val parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) =
false
null
false
(p `parse_filter` (parse_enum_key_cond e)) `parse_synth` (parse_enum_key_synth e)
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "LowParse.Spec.Base.parser_kind", "Prims.eqtype", "LowParse.Spec.Base.parser", "LowParse.Spec.Enum.enum", "LowParse.Spec.Combinators.parse_synth", "LowParse.Spec.Combinators.parse_filter_kind", "LowParse.Spec.Combinators.parse_filter_refine", "LowParse.Spec.Enum.parse_enum_key_cond", "LowParse.Spec.Enum.enum_key", "LowParse.Spec.Combinators.parse_filter", "LowParse.Spec.Enum.parse_enum_key_synth" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr)
false
false
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e))
[]
LowParse.Spec.Enum.parse_enum_key
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
p: LowParse.Spec.Base.parser k repr -> e: LowParse.Spec.Enum.enum key repr -> LowParse.Spec.Base.parser (LowParse.Spec.Combinators.parse_filter_kind k) (LowParse.Spec.Enum.enum_key e)
{ "end_col": 24, "end_line": 166, "start_col": 2, "start_line": 161 }
Prims.Tot
val total_enum (key repr: eqtype) : Tot eqtype
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "L" }, { "abbrev": false, "full_module": "LowParse.Spec.Combinators", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "LowParse.Spec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let total_enum (key: eqtype) (repr: eqtype) : Tot eqtype = (l: enum key repr { is_total_enum l } )
val total_enum (key repr: eqtype) : Tot eqtype let total_enum (key repr: eqtype) : Tot eqtype =
false
null
false
(l: enum key repr {is_total_enum l})
{ "checked_file": "LowParse.Spec.Enum.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Combinators.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Enum.fst" }
[ "total" ]
[ "Prims.eqtype", "LowParse.Spec.Enum.enum", "LowParse.Spec.Enum.is_total_enum" ]
[]
module LowParse.Spec.Enum include LowParse.Spec.Combinators module L = FStar.List.Tot [@Norm] let rec list_map (#a #b: Type) (f: (a -> Tot b)) (l: list a) : Tot (l' : list b { l' == L.map f l } ) = match l with | [] -> [] | a :: q -> f a :: list_map f q type enum (key: eqtype) (repr: eqtype) = (l: list (key * repr) { L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) }) [@Norm] let rec list_mem (#t: eqtype) (x: t) (l: list t) : Tot (y: bool { y == true <==> L.mem x l == true } ) = match l with | [] -> false | a :: q -> (x = a || list_mem x q) inline_for_extraction let enum_key (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (s: key { list_mem s (list_map fst e) } ) inline_for_extraction let make_enum_key (#key #repr: eqtype) (e: enum key repr) (k: key) : Pure (enum_key e) (requires (list_mem k (list_map fst e))) (ensures (fun k' -> k == (k' <: key))) = k inline_for_extraction let enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot eqtype = (r: repr { list_mem r (list_map snd e) } ) let flip (#a #b: Type) (c: (a * b)) : Tot (b * a) = let (ca, cb) = c in (cb, ca) let rec map_flip_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map flip (list_map flip l) == l) = match l with | [] -> () | _ :: q -> map_flip_flip q let rec map_fst_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map fst (list_map flip l) == list_map snd l) = match l with | [] -> () | _ :: q -> map_fst_flip q let rec map_snd_flip (#a #b: Type) (l: list (a * b)) : Lemma (list_map snd (list_map flip l) == list_map fst l) = match l with | [] -> () | _ :: q -> map_snd_flip q let rec assoc_mem_snd (#a #b: eqtype) (l: list (a * b)) (x: a) (y: b) : Lemma (requires (L.assoc x l == Some y)) (ensures (list_mem y (list_map snd l) == true)) (decreases l) = let ((x', y') :: l') = l in if x' = x then () else assoc_mem_snd l' x y let rec assoc_flip_elim (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc y (list_map flip l) == Some x )) (ensures ( L.assoc x l == Some y )) (decreases l) = let ((x', y') :: l') = l in if y' = y then () else begin if x' = x then begin assert (list_mem x' (list_map fst l') == false); assoc_mem_snd (list_map flip l') y x; map_snd_flip l'; assert False end else assoc_flip_elim l' y x end let rec assoc_flip_intro (#a #b: eqtype) (l: list (a * b)) (y: b) (x: a) : Lemma (requires ( L.noRepeats (list_map fst l) /\ L.noRepeats (list_map snd l) /\ L.assoc x l == Some y )) (ensures ( L.assoc y (list_map flip l) == Some x )) = map_fst_flip l; map_snd_flip l; map_flip_flip l; assoc_flip_elim (list_map flip l) x y let enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Pure (enum_key e) (requires True) (ensures (fun y -> L.assoc y e == Some r)) = map_fst_flip e; let e' = list_map #(key * repr) #(repr * key) flip e in L.assoc_mem r e'; let k = Some?.v (L.assoc r e') in assoc_flip_elim e r k; L.assoc_mem k e; (k <: enum_key e) let parse_enum_key_cond (#key #repr: eqtype) (e: enum key repr) (r: repr) : GTot bool = list_mem r (list_map snd e) let parse_enum_key_synth (#key #repr: eqtype) (e: enum key repr) (r: repr { parse_enum_key_cond e r == true } ) : GTot (enum_key e) = enum_key_of_repr e r let parse_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser (parse_filter_kind k) (enum_key e)) = (p `parse_filter` parse_enum_key_cond e ) `parse_synth` parse_enum_key_synth e let enum_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Pure (enum_repr e) (requires True) (ensures (fun r -> L.assoc k e == Some r)) = L.assoc_mem k e; let r = Some?.v (L.assoc k e) in assoc_flip_intro e r k; L.assoc_mem r (list_map flip e); map_fst_flip e; (r <: enum_repr e) let enum_repr_of_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: enum_repr e) : Lemma (enum_repr_of_key e (enum_key_of_repr e r) == r) = () let enum_key_of_repr_of_key (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : Lemma (enum_key_of_repr e (enum_repr_of_key e k) == k) = assoc_flip_intro e (enum_repr_of_key e k) k let serialize_enum_key_synth_recip (#key #repr: eqtype) (e: enum key repr) (k: enum_key e) : GTot (r: repr { parse_enum_key_cond e r == true } ) = enum_repr_of_key e k let serialize_enum_key_synth_inverse (#key #repr: eqtype) (e: enum key repr) : Lemma (synth_inverse (parse_enum_key_synth e) (serialize_enum_key_synth_recip e)) = Classical.forall_intro (enum_key_of_repr_of_key e) let serialize_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_enum_key p e)) = serialize_enum_key_synth_inverse e; serialize_synth (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () let serialize_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: enum_key e) : Lemma (serialize (serialize_enum_key p s e) x == serialize s (enum_repr_of_key e x)) = serialize_enum_key_synth_inverse e; serialize_synth_eq (parse_filter p (parse_enum_key_cond e)) (parse_enum_key_synth e) (serialize_filter s (parse_enum_key_cond e)) (serialize_enum_key_synth_recip e) () x inline_for_extraction let unknown_enum_repr (#key #repr: eqtype) (e: enum key repr) : Tot Type = (r: repr { list_mem r (list_map snd e) == false } ) type maybe_enum_key (#key #repr: eqtype) (e: enum key repr) = | Known of (enum_key e) | Unknown of (unknown_enum_repr e) let maybe_enum_key_of_repr (#key #repr: eqtype) (e: enum key repr) (r: repr) : Tot (maybe_enum_key e) = if list_mem r (list_map snd e) then Known (enum_key_of_repr e r) else Unknown r let parse_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) : Tot (parser k (maybe_enum_key e)) = p `parse_synth` (maybe_enum_key_of_repr e) let parse_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_maybe_enum_key p e) input == (match parse p input with | Some (x, consumed) -> Some (maybe_enum_key_of_repr e x, consumed) | _ -> None )) = parse_synth_eq p (maybe_enum_key_of_repr e) input let parse_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (e: enum key repr) (input: bytes) : Lemma (parse (parse_enum_key p e) input == (match parse p input with | Some (x, consumed) -> begin match maybe_enum_key_of_repr e x with | Known k -> Some (k, consumed) | _ -> None end | _ -> None )) = parse_filter_eq p (parse_enum_key_cond e) input; parse_synth_eq (p `parse_filter` parse_enum_key_cond e) (parse_enum_key_synth e) input let repr_of_maybe_enum_key (#key #repr: eqtype) (e: enum key repr) (x: maybe_enum_key e) : Tot (r: repr { maybe_enum_key_of_repr e r == x } ) = match x with | Known k' -> enum_key_of_repr_of_key e k' ; enum_repr_of_key e k' | Unknown r -> r let serialize_maybe_enum_key (#k: parser_kind) (#key #repr: eqtype) (p: parser k repr) (s: serializer p) (e: enum key repr) : Tot (serializer (parse_maybe_enum_key p e)) = serialize_synth p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () let serialize_maybe_enum_key_eq (#k: parser_kind) (#key #repr: eqtype) (#p: parser k repr) (s: serializer p) (e: enum key repr) (x: maybe_enum_key e) : Lemma (serialize (serialize_maybe_enum_key p s e) x == serialize s (repr_of_maybe_enum_key e x)) = serialize_synth_eq p (maybe_enum_key_of_repr e) s (repr_of_maybe_enum_key e) () x let is_total_enum (#key: eqtype) (#repr: eqtype) (l: list (key * repr)) : GTot Type0 = forall (k: key) . {:pattern (list_mem k (list_map fst l))} list_mem k (list_map fst l)
false
true
LowParse.Spec.Enum.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val total_enum (key repr: eqtype) : Tot eqtype
[]
LowParse.Spec.Enum.total_enum
{ "file_name": "src/lowparse/LowParse.Spec.Enum.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
key: Prims.eqtype -> repr: Prims.eqtype -> Prims.eqtype
{ "end_col": 41, "end_line": 336, "start_col": 2, "start_line": 336 }