effect
stringclasses
48 values
original_source_type
stringlengths
0
23k
opens_and_abbrevs
listlengths
2
92
isa_cross_project_example
bool
1 class
source_definition
stringlengths
9
57.9k
partial_definition
stringlengths
7
23.3k
is_div
bool
2 classes
is_type
null
is_proof
bool
2 classes
completed_definiton
stringlengths
1
250k
dependencies
dict
effect_flags
sequencelengths
0
2
ideal_premises
sequencelengths
0
236
mutual_with
sequencelengths
0
11
file_context
stringlengths
0
407k
interleaved
bool
1 class
is_simply_typed
bool
2 classes
file_name
stringlengths
5
48
vconfig
dict
is_simple_lemma
null
source_type
stringlengths
10
23k
proof_features
sequencelengths
0
1
name
stringlengths
8
95
source
dict
verbose_type
stringlengths
1
7.42k
source_range
dict
FStar.HyperStack.ST.Stack
val frodo_sample_matrix1: a:FP.frodo_alg -> frodo_sample:frodo_sample_st a -> n1:size_t -> n2:size_t{0 < 2 * v n1 * v n2 /\ 2 * v n1 * v n2 <= max_size_t} -> r:lbuffer uint8 (size 2 *! n1 *! n2) -> i:size_t{v i < v n1} -> res:matrix_t n1 n2 -> Stack unit (requires fun h -> live h r /\ live h res /\ disjoint r res) (ensures fun h0 _ h1 -> modifies1 res h0 h1 /\ as_matrix h1 res == S.frodo_sample_matrix1 a (v n1) (v n2) (as_seq h0 r) (v i) (as_matrix h0 res))
[ { "abbrev": true, "full_module": "Spec.Frodo.Params", "short_module": "FP" }, { "abbrev": true, "full_module": "Spec.Frodo.Sample", "short_module": "S" }, { "abbrev": true, "full_module": "Spec.Frodo.Lemmas", "short_module": "Lemmas" }, { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "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": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 frodo_sample n1 n2 r i res = [@ inline_let] let spec h0 = S.frodo_sample_matrix0 a (v n1) (v n2) (as_seq h0 r) (v i) in let h0 = ST.get () in loop1 h0 n2 res spec (fun j -> Loops.unfold_repeati (v n2) (spec h0) (as_seq h0 res) (v j); Lemmas.lemma_matrix_index_repeati1 (v n1) (v n2) (v i) (v j); let resij = sub r (size 2 *! (n2 *! i +! j)) (size 2) in mset res i j (frodo_sample (uint_from_bytes_le #U16 resij)) )
val frodo_sample_matrix1: a:FP.frodo_alg -> frodo_sample:frodo_sample_st a -> n1:size_t -> n2:size_t{0 < 2 * v n1 * v n2 /\ 2 * v n1 * v n2 <= max_size_t} -> r:lbuffer uint8 (size 2 *! n1 *! n2) -> i:size_t{v i < v n1} -> res:matrix_t n1 n2 -> Stack unit (requires fun h -> live h r /\ live h res /\ disjoint r res) (ensures fun h0 _ h1 -> modifies1 res h0 h1 /\ as_matrix h1 res == S.frodo_sample_matrix1 a (v n1) (v n2) (as_seq h0 r) (v i) (as_matrix h0 res)) let frodo_sample_matrix1 a frodo_sample n1 n2 r i res =
true
null
false
[@@ inline_let ]let spec h0 = S.frodo_sample_matrix0 a (v n1) (v n2) (as_seq h0 r) (v i) in let h0 = ST.get () in loop1 h0 n2 res spec (fun j -> Loops.unfold_repeati (v n2) (spec h0) (as_seq h0 res) (v j); Lemmas.lemma_matrix_index_repeati1 (v n1) (v n2) (v i) (v j); let resij = sub r (size 2 *! (n2 *! i +! j)) (size 2) in mset res i j (frodo_sample (uint_from_bytes_le #U16 resij)))
{ "checked_file": "Hacl.Impl.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Frodo.Sample.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.Loops.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Matrix.fst.checked", "Hacl.Impl.Frodo.Params.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Frodo.Sample.fst" }
[]
[ "Spec.Frodo.Params.frodo_alg", "Hacl.Impl.Frodo.Sample.frodo_sample_st", "Lib.IntTypes.size_t", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "FStar.Mul.op_Star", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Prims.op_LessThanOrEqual", "Lib.IntTypes.max_size_t", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "Lib.IntTypes.op_Star_Bang", "Lib.IntTypes.size", "Hacl.Impl.Matrix.matrix_t", "Lib.Buffer.loop1", "Hacl.Impl.Matrix.elem", "Hacl.Impl.Matrix.mset", "Prims.unit", "Lib.IntTypes.int_t", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Lib.IntTypes.uint16", "Lib.ByteBuffer.uint_from_bytes_le", "Lib.IntTypes.uint_t", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Lib.IntTypes.U8", "Lib.IntTypes.mk_int", "Lib.Buffer.sub", "Lib.IntTypes.op_Plus_Bang", "Spec.Frodo.Lemmas.lemma_matrix_index_repeati1", "Lib.LoopCombinators.unfold_repeati", "Lib.Sequence.lseq", "Prims.op_Multiply", "Lib.Buffer.as_seq", "FStar.Monotonic.HyperStack.mem", "FStar.HyperStack.ST.get", "Prims.nat", "Prims.op_Subtraction", "Prims.pow2", "Spec.Frodo.Sample.frodo_sample_matrix0" ]
[]
module Hacl.Impl.Frodo.Sample open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Hacl.Impl.Matrix open Hacl.Impl.Frodo.Params module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module Loops = Lib.LoopCombinators module Lemmas = Spec.Frodo.Lemmas module S = Spec.Frodo.Sample module FP = Spec.Frodo.Params #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" inline_for_extraction noextract val frodo_sample_f: a:FP.frodo_alg -> t:uint16{uint_v t < pow2 15} -> i:size_t{v i < v (cdf_table_len a)} -> Stack uint16 (requires fun h -> True) (ensures fun h0 r h1 -> modifies0 h0 h1 /\ v r == S.frodo_sample_f a t (v i)) let frodo_sample_f a t i = recall_contents (cdf_table a) (FP.cdf_table a); let ti = index (cdf_table a) i in FP.lemma_cdf_list a (v i); Lemmas.lemma_frodo_sample t ti; to_u16 (to_u32 (ti -. t)) >>. 15ul inline_for_extraction noextract val frodo_sample_res: a:FP.frodo_alg -> sign:uint16{v sign <= 1} -> sample:uint16{v sample < v (cdf_table_len a)} -> res:uint16{res == S.frodo_sample_res a sign (v sample)} let frodo_sample_res a sign sample = Lemmas.lemma_frodo_sample2 sign sample; ((lognot sign +. u16 1) ^. sample) +. sign inline_for_extraction noextract let frodo_sample_st (a:FP.frodo_alg) = r:uint16 -> Stack uint16 (requires fun h -> True) (ensures fun h0 res h1 -> modifies0 h0 h1 /\ res == S.frodo_sample a r) #push-options "--fuel 1" inline_for_extraction noextract val frodo_sample: a:FP.frodo_alg -> frodo_sample_st a let frodo_sample a r = push_frame(); let prnd = r >>. 1ul in let sign = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v sign == 0 \/ v sign == 1); let sample :lbuffer uint16 1ul = create (size 1) (u16 0) in let h = ST.get () in assert (LSeq.index #_ #1 (as_seq h sample) 0 == u16 0); assert (bget h sample 0 == u16 0); let bound = cdf_table_len a -! 1ul in let h0 = ST.get () in Lib.Loops.for 0ul bound (fun h i -> modifies1 sample h0 h /\ v (bget h sample 0) == S.frodo_sample_fc a prnd i) (fun i -> let sample0 = sample.(0ul) in let samplei = frodo_sample_f a prnd i in sample.(0ul) <- samplei +. sample0 ); let sample0 = sample.(0ul) in assert (v sample0 == S.frodo_sample_fc a prnd (v bound)); let res = frodo_sample_res a sign sample0 in pop_frame(); res #pop-options inline_for_extraction noextract val frodo_sample_matrix1: a:FP.frodo_alg -> frodo_sample:frodo_sample_st a -> n1:size_t -> n2:size_t{0 < 2 * v n1 * v n2 /\ 2 * v n1 * v n2 <= max_size_t} -> r:lbuffer uint8 (size 2 *! n1 *! n2) -> i:size_t{v i < v n1} -> res:matrix_t n1 n2 -> Stack unit (requires fun h -> live h r /\ live h res /\ disjoint r res) (ensures fun h0 _ h1 -> modifies1 res h0 h1 /\ as_matrix h1 res == S.frodo_sample_matrix1 a (v n1) (v n2) (as_seq h0 r) (v i) (as_matrix h0 res))
false
false
Hacl.Impl.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:FP.frodo_alg -> frodo_sample:frodo_sample_st a -> n1:size_t -> n2:size_t{0 < 2 * v n1 * v n2 /\ 2 * v n1 * v n2 <= max_size_t} -> r:lbuffer uint8 (size 2 *! n1 *! n2) -> i:size_t{v i < v n1} -> res:matrix_t n1 n2 -> Stack unit (requires fun h -> live h r /\ live h res /\ disjoint r res) (ensures fun h0 _ h1 -> modifies1 res h0 h1 /\ as_matrix h1 res == S.frodo_sample_matrix1 a (v n1) (v n2) (as_seq h0 r) (v i) (as_matrix h0 res))
[]
Hacl.Impl.Frodo.Sample.frodo_sample_matrix1
{ "file_name": "code/frodo/Hacl.Impl.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 -> frodo_sample: Hacl.Impl.Frodo.Sample.frodo_sample_st a -> n1: Lib.IntTypes.size_t -> n2: Lib.IntTypes.size_t { 0 < (2 * Lib.IntTypes.v n1) * Lib.IntTypes.v n2 /\ (2 * Lib.IntTypes.v n1) * Lib.IntTypes.v n2 <= Lib.IntTypes.max_size_t } -> r: Lib.Buffer.lbuffer Lib.IntTypes.uint8 (Lib.IntTypes.size 2 *! n1 *! n2) -> i: Lib.IntTypes.size_t{Lib.IntTypes.v i < Lib.IntTypes.v n1} -> res: Hacl.Impl.Matrix.matrix_t n1 n2 -> FStar.HyperStack.ST.Stack Prims.unit
{ "end_col": 3, "end_line": 123, "start_col": 2, "start_line": 114 }
Prims.Tot
val frodo_sample: a:FP.frodo_alg -> frodo_sample_st a
[ { "abbrev": true, "full_module": "Spec.Frodo.Params", "short_module": "FP" }, { "abbrev": true, "full_module": "Spec.Frodo.Sample", "short_module": "S" }, { "abbrev": true, "full_module": "Spec.Frodo.Lemmas", "short_module": "Lemmas" }, { "abbrev": true, "full_module": "Lib.LoopCombinators", "short_module": "Loops" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteBuffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "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": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.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 = push_frame(); let prnd = r >>. 1ul in let sign = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v sign == 0 \/ v sign == 1); let sample :lbuffer uint16 1ul = create (size 1) (u16 0) in let h = ST.get () in assert (LSeq.index #_ #1 (as_seq h sample) 0 == u16 0); assert (bget h sample 0 == u16 0); let bound = cdf_table_len a -! 1ul in let h0 = ST.get () in Lib.Loops.for 0ul bound (fun h i -> modifies1 sample h0 h /\ v (bget h sample 0) == S.frodo_sample_fc a prnd i) (fun i -> let sample0 = sample.(0ul) in let samplei = frodo_sample_f a prnd i in sample.(0ul) <- samplei +. sample0 ); let sample0 = sample.(0ul) in assert (v sample0 == S.frodo_sample_fc a prnd (v bound)); let res = frodo_sample_res a sign sample0 in pop_frame(); res
val frodo_sample: a:FP.frodo_alg -> frodo_sample_st a let frodo_sample a r =
false
null
false
push_frame (); let prnd = r >>. 1ul in let sign = r &. u16 1 in mod_mask_lemma r 1ul; assert (v #U16 #SEC (mod_mask 1ul) == 1); assert (v sign == 0 \/ v sign == 1); let sample:lbuffer uint16 1ul = create (size 1) (u16 0) in let h = ST.get () in assert (LSeq.index #_ #1 (as_seq h sample) 0 == u16 0); assert (bget h sample 0 == u16 0); let bound = cdf_table_len a -! 1ul in let h0 = ST.get () in Lib.Loops.for 0ul bound (fun h i -> modifies1 sample h0 h /\ v (bget h sample 0) == S.frodo_sample_fc a prnd i) (fun i -> let sample0 = sample.(0ul) in let samplei = frodo_sample_f a prnd i in sample.(0ul) <- samplei +. sample0); let sample0 = sample.(0ul) in assert (v sample0 == S.frodo_sample_fc a prnd (v bound)); let res = frodo_sample_res a sign sample0 in pop_frame (); res
{ "checked_file": "Hacl.Impl.Frodo.Sample.fst.checked", "dependencies": [ "Spec.Frodo.Sample.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.Lemmas.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.Loops.fsti.checked", "Lib.LoopCombinators.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Matrix.fst.checked", "Hacl.Impl.Frodo.Params.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Frodo.Sample.fst" }
[ "total" ]
[ "Spec.Frodo.Params.frodo_alg", "Lib.IntTypes.uint16", "Prims.unit", "FStar.HyperStack.ST.pop_frame", "Lib.IntTypes.int_t", "Lib.IntTypes.U16", "Lib.IntTypes.SEC", "Prims.eq2", "Spec.Frodo.Sample.frodo_sample_res", "Lib.IntTypes.v", "Hacl.Impl.Frodo.Sample.frodo_sample_res", "Prims._assert", "Prims.int", "Prims.l_or", "Prims.l_and", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "Prims.op_LessThanOrEqual", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Lib.IntTypes.range", "Spec.Frodo.Sample.frodo_sample_fc", "Lib.Buffer.op_Array_Access", "Lib.Buffer.MUT", "FStar.UInt32.uint_to_t", "FStar.UInt32.__uint_to_t", "Lib.Loops.for", "FStar.Monotonic.HyperStack.mem", "Prims.nat", "Lib.Buffer.modifies1", "Lib.Buffer.bget", "Lib.IntTypes.size_t", "Prims.op_LessThan", "Lib.Buffer.op_Array_Assignment", "Lib.IntTypes.op_Plus_Dot", "Hacl.Impl.Frodo.Sample.frodo_sample_f", "FStar.HyperStack.ST.get", "Lib.IntTypes.op_Subtraction_Bang", "Hacl.Impl.Frodo.Params.cdf_table_len", "Lib.IntTypes.u16", "Lib.IntTypes.range_t", "FStar.Seq.Base.index", "Lib.Sequence.to_seq", "Lib.Buffer.as_seq", "Lib.Sequence.index", "Lib.Buffer.lbuffer_t", "FStar.UInt32.t", "Lib.Buffer.create", "Lib.IntTypes.size", "Lib.Buffer.lbuffer", "Lib.IntTypes.mod_mask", "Lib.IntTypes.mod_mask_lemma", "Lib.IntTypes.op_Amp_Dot", "Lib.IntTypes.op_Greater_Greater_Dot", "FStar.HyperStack.ST.push_frame" ]
[]
module Hacl.Impl.Frodo.Sample open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open Lib.IntTypes open Lib.Buffer open Lib.ByteBuffer open Hacl.Impl.Matrix open Hacl.Impl.Frodo.Params module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module Loops = Lib.LoopCombinators module Lemmas = Spec.Frodo.Lemmas module S = Spec.Frodo.Sample module FP = Spec.Frodo.Params #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" inline_for_extraction noextract val frodo_sample_f: a:FP.frodo_alg -> t:uint16{uint_v t < pow2 15} -> i:size_t{v i < v (cdf_table_len a)} -> Stack uint16 (requires fun h -> True) (ensures fun h0 r h1 -> modifies0 h0 h1 /\ v r == S.frodo_sample_f a t (v i)) let frodo_sample_f a t i = recall_contents (cdf_table a) (FP.cdf_table a); let ti = index (cdf_table a) i in FP.lemma_cdf_list a (v i); Lemmas.lemma_frodo_sample t ti; to_u16 (to_u32 (ti -. t)) >>. 15ul inline_for_extraction noextract val frodo_sample_res: a:FP.frodo_alg -> sign:uint16{v sign <= 1} -> sample:uint16{v sample < v (cdf_table_len a)} -> res:uint16{res == S.frodo_sample_res a sign (v sample)} let frodo_sample_res a sign sample = Lemmas.lemma_frodo_sample2 sign sample; ((lognot sign +. u16 1) ^. sample) +. sign inline_for_extraction noextract let frodo_sample_st (a:FP.frodo_alg) = r:uint16 -> Stack uint16 (requires fun h -> True) (ensures fun h0 res h1 -> modifies0 h0 h1 /\ res == S.frodo_sample a r) #push-options "--fuel 1" inline_for_extraction noextract val frodo_sample: a:FP.frodo_alg -> frodo_sample_st a
false
false
Hacl.Impl.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:FP.frodo_alg -> frodo_sample_st a
[]
Hacl.Impl.Frodo.Sample.frodo_sample
{ "file_name": "code/frodo/Hacl.Impl.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 -> Hacl.Impl.Frodo.Sample.frodo_sample_st a
{ "end_col": 5, "end_line": 93, "start_col": 2, "start_line": 67 }
Prims.Tot
val fits_u32 : prop
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 fits_u32 = (reveal bound >= pow2 32) == true
val fits_u32 : prop let fits_u32 =
false
null
false
(reveal bound >= pow2 32) == true
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[ "total" ]
[ "Prims.eq2", "Prims.bool", "Prims.op_GreaterThanOrEqual", "FStar.Ghost.reveal", "Prims.nat", "FStar.SizeT.bound", "Prims.pow2" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert.
false
true
FStar.SizeT.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 fits_u32 : prop
[]
FStar.SizeT.fits_u32
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
Prims.prop
{ "end_col": 48, "end_line": 34, "start_col": 15, "start_line": 34 }
Prims.Tot
val fits (x: nat) : Tot prop
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 fits x = FStar.UInt.fits x U64.n == true /\ x < bound
val fits (x: nat) : Tot prop let fits x =
false
null
false
FStar.UInt.fits x U64.n == true /\ x < bound
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[ "total" ]
[ "Prims.nat", "Prims.l_and", "Prims.eq2", "Prims.bool", "FStar.UInt.fits", "FStar.UInt64.n", "Prims.b2t", "Prims.op_LessThan", "FStar.Ghost.reveal", "FStar.SizeT.bound", "Prims.prop" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound }
false
true
FStar.SizeT.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 fits (x: nat) : Tot prop
[]
FStar.SizeT.fits
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: Prims.nat -> Prims.prop
{ "end_col": 11, "end_line": 17, "start_col": 2, "start_line": 16 }
Prims.Tot
val fits_u64 : prop
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 fits_u64 = (reveal bound == pow2 64)
val fits_u64 : prop let fits_u64 =
false
null
false
(reveal bound == pow2 64)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[ "total" ]
[ "Prims.eq2", "Prims.int", "Prims.l_or", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "Prims.op_GreaterThan", "FStar.Ghost.reveal", "Prims.nat", "FStar.SizeT.bound", "Prims.pow2" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here
false
true
FStar.SizeT.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 fits_u64 : prop
[]
FStar.SizeT.fits_u64
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
Prims.prop
{ "end_col": 40, "end_line": 35, "start_col": 15, "start_line": 35 }
Prims.Pure
val v (x: t) : Pure nat (requires True) (ensures (fun y -> fits y))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 v x = U64.v x
val v (x: t) : Pure nat (requires True) (ensures (fun y -> fits y)) let v x =
false
null
false
U64.v x
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.v", "Prims.nat" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = ()
false
false
FStar.SizeT.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 v (x: t) : Pure nat (requires True) (ensures (fun y -> fits y))
[]
FStar.SizeT.v
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> Prims.Pure Prims.nat
{ "end_col": 9, "end_line": 22, "start_col": 2, "start_line": 22 }
Prims.Pure
val gt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x > v y)))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 gt x y = U64.gt x y
val gt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x > v y))) let gt x y =
false
null
false
U64.gt x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.gt", "Prims.bool" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y let mul x y = U64.mul x y let div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val gt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x > v y)))
[]
FStar.SizeT.gt
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure Prims.bool
{ "end_col": 23, "end_line": 79, "start_col": 13, "start_line": 79 }
Prims.Pure
val uint16_to_sizet (x:U16.t) : Pure t (requires True) (ensures fun y -> v y == U16.v x)
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 uint16_to_sizet x = uint_to_t (U16.v x)
val uint16_to_sizet (x:U16.t) : Pure t (requires True) (ensures fun y -> v y == U16.v x) let uint16_to_sizet x =
false
null
false
uint_to_t (U16.v x)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.UInt16.t", "FStar.SizeT.uint_to_t", "FStar.UInt16.v", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x)
false
false
FStar.SizeT.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 uint16_to_sizet (x:U16.t) : Pure t (requires True) (ensures fun y -> v y == U16.v x)
[]
FStar.SizeT.uint16_to_sizet
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.UInt16.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 43, "end_line": 61, "start_col": 24, "start_line": 61 }
Prims.Pure
val gte (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x >= v y)))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 gte x y = U64.gte x y
val gte (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x >= v y))) let gte x y =
false
null
false
U64.gte x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.gte", "Prims.bool" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y let mul x y = U64.mul x y let div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res let rem x y = U64.rem x y
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val gte (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x >= v y)))
[]
FStar.SizeT.gte
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure Prims.bool
{ "end_col": 25, "end_line": 80, "start_col": 14, "start_line": 80 }
Prims.Pure
val sub (x y: t) : Pure t (requires (v x >= v y)) (ensures (fun z -> v z == v x - v y))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 sub x y = U64.sub x y
val sub (x y: t) : Pure t (requires (v x >= v y)) (ensures (fun z -> v z == v x - v y)) let sub x y =
false
null
false
U64.sub x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.sub" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20"
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val sub (x y: t) : Pure t (requires (v x >= v y)) (ensures (fun z -> v z == v x - v y))
[]
FStar.SizeT.sub
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 25, "end_line": 70, "start_col": 14, "start_line": 70 }
Prims.Pure
val of_u64 (x: U64.t) : Pure t (requires fits_u64) (ensures (fun y -> v y == U64.v x))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 of_u64 (x: U64.t) = uint_to_t (U64.v x)
val of_u64 (x: U64.t) : Pure t (requires fits_u64) (ensures (fun y -> v y == U64.v x)) let of_u64 (x: U64.t) =
false
null
false
uint_to_t (U64.v x)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.UInt64.t", "FStar.SizeT.uint_to_t", "FStar.UInt64.v", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x)
false
false
FStar.SizeT.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 of_u64 (x: U64.t) : Pure t (requires fits_u64) (ensures (fun y -> v y == U64.v x))
[]
FStar.SizeT.of_u64
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.UInt64.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 23, "end_line": 59, "start_col": 4, "start_line": 59 }
Prims.Tot
val t : eqtype
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 t = x:U64.t { U64.v x < bound }
val t : eqtype let t =
false
null
false
x: U64.t{U64.v x < bound}
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[ "total" ]
[ "FStar.UInt64.t", "Prims.b2t", "Prims.op_LessThan", "FStar.UInt64.v", "FStar.Ghost.reveal", "Prims.nat", "FStar.SizeT.bound" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 }
false
true
FStar.SizeT.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 t : eqtype
[]
FStar.SizeT.t
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
Prims.eqtype
{ "end_col": 35, "end_line": 13, "start_col": 8, "start_line": 13 }
Prims.Pure
val uint_to_t (x: nat) : Pure t (requires (fits x)) (ensures (fun y -> v y == x))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 uint_to_t x = U64.uint_to_t x
val uint_to_t (x: nat) : Pure t (requires (fits x)) (ensures (fun y -> v y == x)) let uint_to_t x =
false
null
false
U64.uint_to_t x
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "Prims.nat", "FStar.UInt64.uint_to_t", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x
false
false
FStar.SizeT.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 uint_to_t (x: nat) : Pure t (requires (fits x)) (ensures (fun y -> v y == x))
[]
FStar.SizeT.uint_to_t
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: Prims.nat -> Prims.Pure FStar.SizeT.t
{ "end_col": 17, "end_line": 25, "start_col": 2, "start_line": 25 }
Prims.Pure
val lt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x < v y)))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 lt x y = U64.lt x y
val lt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x < v y))) let lt x y =
false
null
false
U64.lt x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.lt", "Prims.bool" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y let mul x y = U64.mul x y let div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res let rem x y = U64.rem x y let gt x y = U64.gt x y
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val lt (x y:t) : Pure bool (requires True) (ensures (fun z -> z == (v x < v y)))
[]
FStar.SizeT.lt
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure Prims.bool
{ "end_col": 23, "end_line": 81, "start_col": 13, "start_line": 81 }
Prims.Pure
val uint64_to_sizet (x:U64.t) : Pure t (requires fits_u64) (ensures fun y -> v y == U64.v x)
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 uint64_to_sizet x = uint_to_t (U64.v x)
val uint64_to_sizet (x:U64.t) : Pure t (requires fits_u64) (ensures fun y -> v y == U64.v x) let uint64_to_sizet x =
false
null
false
uint_to_t (U64.v x)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.UInt64.t", "FStar.SizeT.uint_to_t", "FStar.UInt64.v", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x)
false
false
FStar.SizeT.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 uint64_to_sizet (x:U64.t) : Pure t (requires fits_u64) (ensures fun y -> v y == U64.v x)
[]
FStar.SizeT.uint64_to_sizet
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.UInt64.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 43, "end_line": 63, "start_col": 24, "start_line": 63 }
Prims.Pure
val uint32_to_sizet (x:U32.t) : Pure t (requires fits_u32) (ensures fun y -> v y == U32.v x)
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 uint32_to_sizet x = uint_to_t (U32.v x)
val uint32_to_sizet (x:U32.t) : Pure t (requires fits_u32) (ensures fun y -> v y == U32.v x) let uint32_to_sizet x =
false
null
false
uint_to_t (U32.v x)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.UInt32.t", "FStar.SizeT.uint_to_t", "FStar.UInt32.v", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x)
false
false
FStar.SizeT.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 uint32_to_sizet (x:U32.t) : Pure t (requires fits_u32) (ensures fun y -> v y == U32.v x)
[]
FStar.SizeT.uint32_to_sizet
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.UInt32.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 43, "end_line": 62, "start_col": 24, "start_line": 62 }
Prims.Pure
val lte (x y: t) : Pure bool (requires True) (ensures (fun z -> z == (v x <= v y)))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 lte x y = U64.lte x y
val lte (x y: t) : Pure bool (requires True) (ensures (fun z -> z == (v x <= v y))) let lte x y =
false
null
false
U64.lte x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.lte", "Prims.bool" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y let mul x y = U64.mul x y let div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res let rem x y = U64.rem x y let gt x y = U64.gt x y let gte x y = U64.gte x y
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val lte (x y: t) : Pure bool (requires True) (ensures (fun z -> z == (v x <= v y)))
[]
FStar.SizeT.lte
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure Prims.bool
{ "end_col": 25, "end_line": 82, "start_col": 14, "start_line": 82 }
Prims.Pure
val of_u32 (x: U32.t) : Pure t (requires fits_u32) (ensures (fun y -> v y == U32.v x))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 of_u32 (x: U32.t) = uint_to_t (U32.v x)
val of_u32 (x: U32.t) : Pure t (requires fits_u32) (ensures (fun y -> v y == U32.v x)) let of_u32 (x: U32.t) =
false
null
false
uint_to_t (U32.v x)
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.UInt32.t", "FStar.SizeT.uint_to_t", "FStar.UInt32.v", "FStar.SizeT.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = ()
false
false
FStar.SizeT.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 of_u32 (x: U32.t) : Pure t (requires fits_u32) (ensures (fun y -> v y == U32.v x))
[]
FStar.SizeT.of_u32
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.UInt32.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 23, "end_line": 56, "start_col": 4, "start_line": 56 }
Prims.Pure
val sizet_to_uint32 (x:t) : Pure U32.t (requires True) (ensures fun y -> U32.v y == v x % pow2 32)
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x
val sizet_to_uint32 (x:t) : Pure U32.t (requires True) (ensures fun y -> U32.v y == v x % pow2 32) let sizet_to_uint32 x =
false
null
false
FStar.Int.Cast.uint64_to_uint32 x
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.Int.Cast.uint64_to_uint32", "FStar.UInt32.t" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x)
false
false
FStar.SizeT.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 sizet_to_uint32 (x:t) : Pure U32.t (requires True) (ensures fun y -> U32.v y == v x % pow2 32)
[]
FStar.SizeT.sizet_to_uint32
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> Prims.Pure FStar.UInt32.t
{ "end_col": 57, "end_line": 64, "start_col": 24, "start_line": 64 }
Prims.Pure
val mul (x y: t) : Pure t (requires (fits (v x * v y))) (ensures (fun z -> v z == v x * v y))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 mul x y = U64.mul x y
val mul (x y: t) : Pure t (requires (fits (v x * v y))) (ensures (fun z -> v z == v x * v y)) let mul x y =
false
null
false
U64.mul x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.mul" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val mul (x y: t) : Pure t (requires (fits (v x * v y))) (ensures (fun z -> v z == v x * v y))
[]
FStar.SizeT.mul
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 25, "end_line": 71, "start_col": 14, "start_line": 71 }
Prims.Pure
val add (x y: t) : Pure t (requires (fits (v x + v y))) (ensures (fun z -> v z == v x + v y))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 add x y = U64.add x y
val add (x y: t) : Pure t (requires (fits (v x + v y))) (ensures (fun z -> v z == v x + v y)) let add x y =
false
null
false
U64.add x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "FStar.UInt64.add" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = ()
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val add (x y: t) : Pure t (requires (fits (v x + v y))) (ensures (fun z -> v z == v x + v y))
[]
FStar.SizeT.add
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
x: FStar.SizeT.t -> y: FStar.SizeT.t -> Prims.Pure FStar.SizeT.t
{ "end_col": 25, "end_line": 69, "start_col": 14, "start_line": 69 }
Prims.Pure
val rem (a:t) (b:t{v b <> 0}) : Pure t (requires True) (ensures (fun c -> mod_spec (v a) (v b) = v c))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 rem x y = U64.rem x y
val rem (a:t) (b:t{v b <> 0}) : Pure t (requires True) (ensures (fun c -> mod_spec (v a) (v b) = v c)) let rem x y =
false
null
false
U64.rem x y
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "Prims.b2t", "Prims.op_disEquality", "Prims.int", "FStar.SizeT.v", "FStar.UInt64.rem" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y let mul x y = U64.mul x y let div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x);
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val rem (a:t) (b:t{v b <> 0}) : Pure t (requires True) (ensures (fun c -> mod_spec (v a) (v b) = v c))
[]
FStar.SizeT.rem
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: FStar.SizeT.t -> b: FStar.SizeT.t{FStar.SizeT.v b <> 0} -> Prims.Pure FStar.SizeT.t
{ "end_col": 25, "end_line": 78, "start_col": 14, "start_line": 78 }
Prims.Pure
val div (a:t) (b:t{v b <> 0}) : Pure t (requires (True)) (ensures (fun c -> v a / v b = v c))
[ { "abbrev": true, "full_module": "FStar.Int64", "short_module": "I64" }, { "abbrev": false, "full_module": "FStar.Ghost", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt16", "short_module": "U16" }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null }, { "abbrev": false, "full_module": "FStar", "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 div x y = let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res
val div (a:t) (b:t{v b <> 0}) : Pure t (requires (True)) (ensures (fun c -> v a / v b = v c)) let div x y =
false
null
false
let res = U64.div x y in fits_lte (U64.v res) (U64.v x); FStar.Math.Lib.slash_decr_axiom (U64.v x) (U64.v y); assert (U64.v x / U64.v y <= U64.v x); res
{ "checked_file": "FStar.SizeT.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lib.fst.checked", "FStar.Int64.fsti.checked", "FStar.Int.Cast.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": true, "source_file": "FStar.SizeT.fst" }
[]
[ "FStar.SizeT.t", "Prims.b2t", "Prims.op_disEquality", "Prims.int", "FStar.SizeT.v", "Prims.unit", "Prims._assert", "Prims.op_LessThanOrEqual", "Prims.op_Division", "FStar.UInt64.v", "FStar.Math.Lib.slash_decr_axiom", "FStar.SizeT.fits_lte", "FStar.UInt64.t", "FStar.UInt64.div" ]
[]
module FStar.SizeT open FStar.Ghost module I64 = FStar.Int64 (* This is only intended as a model, but will be extracted natively by Krml with the correct C semantics *) (* We assume the existence of some lower bound on the size, where the bound is at least 2^16 *) assume val bound : x:erased nat { x >= pow2 16 } let t = x:U64.t { U64.v x < bound } let fits x = FStar.UInt.fits x U64.n == true /\ x < bound let fits_at_least_16 _ = () let v x = U64.v x let uint_to_t x = U64.uint_to_t x let size_v_inj (x: t) = () let size_uint_to_t_inj (x: nat) = () /// These two predicates are only used for modeling purposes, and their definitions must /// remain abstract to ensure they can only be introduced through a static assert. /// We simply define them as True here let fits_u32 = (reveal bound >= pow2 32) == true let fits_u64 = (reveal bound == pow2 64) let fits_u64_implies_fits_32 () : Lemma (requires fits_u64) (ensures fits_u32) = () let fits_u32_implies_fits (x:nat) : Lemma (requires fits_u32 /\ x < pow2 32) (ensures fits x) = () let fits_u64_implies_fits (x:nat) : Lemma (requires fits_u64 /\ x < pow2 64) (ensures fits x) = () let of_u32 (x: U32.t) = uint_to_t (U32.v x) let of_u64 (x: U64.t) = uint_to_t (U64.v x) let uint16_to_sizet x = uint_to_t (U16.v x) let uint32_to_sizet x = uint_to_t (U32.v x) let uint64_to_sizet x = uint_to_t (U64.v x) let sizet_to_uint32 x = FStar.Int.Cast.uint64_to_uint32 x let fits_lte x y = () #push-options "--z3rlimit 20" let add x y = U64.add x y let sub x y = U64.sub x y
false
false
FStar.SizeT.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": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val div (a:t) (b:t{v b <> 0}) : Pure t (requires (True)) (ensures (fun c -> v a / v b = v c))
[]
FStar.SizeT.div
{ "file_name": "ulib/FStar.SizeT.fst", "git_rev": "f4cbb7a38d67eeb13fbdb2f4fb8a44a65cbcdc1f", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
a: FStar.SizeT.t -> b: FStar.SizeT.t{FStar.SizeT.v b <> 0} -> Prims.Pure FStar.SizeT.t
{ "end_col": 5, "end_line": 77, "start_col": 13, "start_line": 72 }
Prims.Tot
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b))
let bn_exp_almost_mont_st (t: limb_t) (len: BN.bn_len t) =
false
null
false
n: lbignum t len -> mu: limb t {BM.bn_mont_pre n mu} -> aM: ME.bn_mont_t n -> bBits: size_nat -> b: lbignum t (blocks0 bBits (bits t)) {bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b))
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.pow2", "Prims.l_True", "Prims.eq2", "Prims.int", "Prims.op_Modulus", "Lib.Exponentiation.Definition.pow", "Lib.NatMod.nat_mod", "Lib.Exponentiation.Definition.comm_monoid", "Hacl.Spec.Exponentiation.Lemmas.mk_nat_mont_ll_comm_monoid", "Lib.IntTypes.v", "Lib.IntTypes.SEC" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_st : t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
{ "end_col": 54, "end_line": 115, "start_col": 4, "start_line": 106 }
Prims.Tot
val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one
val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ =
false
null
false
let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Prims.unit", "Prims._assert", "Prims.eq2", "Lib.NatMod.nat_mod", "Hacl.Spec.Bignum.Definitions.bn_v", "Hacl.Spec.Bignum.AlmostMontExponentiation.amm_refl", "Hacl.Spec.Exponentiation.Lemmas.mont_one_ll", "Lib.IntTypes.bits", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "FStar.Math.Lemmas.small_mod", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_one" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_almost_mont_one
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Hacl.Spec.Bignum.Definitions.lbignum t len -> mu: Hacl.Spec.Bignum.Definitions.limb t {Hacl.Spec.Bignum.Montgomery.bn_mont_pre n mu} -> Spec.Exponentiation.one_st (Hacl.Spec.Bignum.Definitions.lbignum t len) (Hacl.Spec.Bignum.AlmostMontExponentiation.mk_to_nat_mont_ll_comm_monoid n mu)
{ "end_col": 5, "end_line": 55, "start_col": 39, "start_line": 50 }
Prims.Tot
val amm_refl (#t: limb_t) (#len: BN.bn_len t) (n: lbignum t len {0 < bn_v n}) (x: lbignum t len) : Lib.NatMod.nat_mod (bn_v n)
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n
val amm_refl (#t: limb_t) (#len: BN.bn_len t) (n: lbignum t len {0 < bn_v n}) (x: lbignum t len) : Lib.NatMod.nat_mod (bn_v n) let amm_refl (#t: limb_t) (#len: BN.bn_len t) (n: lbignum t len {0 < bn_v n}) (x: lbignum t len) : Lib.NatMod.nat_mod (bn_v n) =
false
null
false
bn_v x % bn_v n
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.op_Modulus", "Lib.NatMod.nat_mod" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n)
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 amm_refl (#t: limb_t) (#len: BN.bn_len t) (n: lbignum t len {0 < bn_v n}) (x: lbignum t len) : Lib.NatMod.nat_mod (bn_v n)
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.amm_refl
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Hacl.Spec.Bignum.Definitions.lbignum t len {0 < Hacl.Spec.Bignum.Definitions.bn_v n} -> x: Hacl.Spec.Bignum.Definitions.lbignum t len -> Lib.NatMod.nat_mod (Hacl.Spec.Bignum.Definitions.bn_v n)
{ "end_col": 17, "end_line": 28, "start_col": 2, "start_line": 28 }
Prims.Tot
val bn_exp_almost_mont_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_consttime #t #len n mu aM bBits b = if bBits < ME.bn_exp_mont_consttime_threshold then bn_exp_almost_mont_bm_consttime n mu aM bBits b else bn_exp_almost_mont_fw 4 n mu aM bBits b
val bn_exp_almost_mont_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_consttime #t #len n mu aM bBits b =
false
null
false
if bBits < ME.bn_exp_mont_consttime_threshold then bn_exp_almost_mont_bm_consttime n mu aM bBits b else bn_exp_almost_mont_fw 4 n mu aM bBits b
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.pow2", "Hacl.Spec.Bignum.MontExponentiation.bn_exp_mont_consttime_threshold", "Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_bm_consttime", "Prims.bool", "Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_fw" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract let bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b)) // no diff between vartime and consttime at the spec level val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in //assert (bn_v resM % bn_v n == LE.exp_rl k (bn_v aM % bn_v n) bBits (bn_v b)); SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); //assert (bn_v resM % bn_v n == LE.pow k (bn_v aM % bn_v n) (bn_v b)); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM val bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_consttime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in SE.exp_mont_ladder_swap_lemma k1 aM bBits (bn_v b); LE.exp_mont_ladder_swap_lemma k (bn_v aM % bn_v n) bBits (bn_v b); LE.exp_mont_ladder_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_mont_ladder_swap k1 aM bBits (bn_v b) val bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_fw #t #len l n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in SE.exp_fw_lemma k1 aM bBits (bn_v b) l; LE.exp_fw_lemma k1.SE.to.SE.comm_monoid (bn_v aM % bn_v n) bBits (bn_v b) l; E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_fw k1 aM bBits (bn_v b) l val bn_exp_almost_mont_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_vartime #t #len n mu aM bBits b = if bBits < ME.bn_exp_mont_vartime_threshold then bn_exp_almost_mont_bm_vartime n mu aM bBits b else bn_exp_almost_mont_fw 4 n mu aM bBits b val bn_exp_almost_mont_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_consttime
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st t len
{ "end_col": 43, "end_line": 172, "start_col": 2, "start_line": 169 }
Prims.Tot
val bn_exp_almost_mont_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_vartime #t #len n mu aM bBits b = if bBits < ME.bn_exp_mont_vartime_threshold then bn_exp_almost_mont_bm_vartime n mu aM bBits b else bn_exp_almost_mont_fw 4 n mu aM bBits b
val bn_exp_almost_mont_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_vartime #t #len n mu aM bBits b =
false
null
false
if bBits < ME.bn_exp_mont_vartime_threshold then bn_exp_almost_mont_bm_vartime n mu aM bBits b else bn_exp_almost_mont_fw 4 n mu aM bBits b
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.pow2", "Hacl.Spec.Bignum.MontExponentiation.bn_exp_mont_vartime_threshold", "Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_bm_vartime", "Prims.bool", "Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_fw" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract let bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b)) // no diff between vartime and consttime at the spec level val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in //assert (bn_v resM % bn_v n == LE.exp_rl k (bn_v aM % bn_v n) bBits (bn_v b)); SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); //assert (bn_v resM % bn_v n == LE.pow k (bn_v aM % bn_v n) (bn_v b)); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM val bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_consttime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in SE.exp_mont_ladder_swap_lemma k1 aM bBits (bn_v b); LE.exp_mont_ladder_swap_lemma k (bn_v aM % bn_v n) bBits (bn_v b); LE.exp_mont_ladder_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_mont_ladder_swap k1 aM bBits (bn_v b) val bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_fw #t #len l n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in SE.exp_fw_lemma k1 aM bBits (bn_v b) l; LE.exp_fw_lemma k1.SE.to.SE.comm_monoid (bn_v aM % bn_v n) bBits (bn_v b) l; E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_fw k1 aM bBits (bn_v b) l val bn_exp_almost_mont_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_vartime
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st t len
{ "end_col": 43, "end_line": 164, "start_col": 2, "start_line": 161 }
Prims.Tot
val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c
val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM =
false
null
false
let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Prims.unit", "Hacl.Spec.AlmostMontgomery.Lemmas.almost_mont_mul_is_mont_mul_lemma", "Lib.IntTypes.bits", "Hacl.Spec.Bignum.Definitions.bn_v", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Hacl.Spec.Bignum.Definitions.bn_eval_bound", "Hacl.Spec.Bignum.AlmostMontgomery.bn_almost_mont_mul_lemma", "Hacl.Spec.Bignum.AlmostMontgomery.bn_almost_mont_mul" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_almost_mont_mul
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Hacl.Spec.Bignum.Definitions.lbignum t len -> mu: Hacl.Spec.Bignum.Definitions.limb t {Hacl.Spec.Bignum.Montgomery.bn_mont_pre n mu} -> Spec.Exponentiation.mul_st (Hacl.Spec.Bignum.Definitions.lbignum t len) (Hacl.Spec.Bignum.AlmostMontExponentiation.mk_to_nat_mont_ll_comm_monoid n mu)
{ "end_col": 3, "end_line": 71, "start_col": 43, "start_line": 65 }
Prims.Tot
val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c
val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM =
false
null
false
let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Prims.unit", "Hacl.Spec.AlmostMontgomery.Lemmas.almost_mont_mul_is_mont_mul_lemma", "Lib.IntTypes.bits", "Hacl.Spec.Bignum.Definitions.bn_v", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Hacl.Spec.Bignum.Definitions.bn_eval_bound", "Hacl.Spec.Bignum.AlmostMontgomery.bn_almost_mont_sqr_lemma", "Hacl.Spec.Bignum.AlmostMontgomery.bn_almost_mont_sqr" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu)
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_almost_mont_sqr
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Hacl.Spec.Bignum.Definitions.lbignum t len -> mu: Hacl.Spec.Bignum.Definitions.limb t {Hacl.Spec.Bignum.Montgomery.bn_mont_pre n mu} -> Spec.Exponentiation.sqr_st (Hacl.Spec.Bignum.Definitions.lbignum t len) (Hacl.Spec.Bignum.AlmostMontExponentiation.mk_to_nat_mont_ll_comm_monoid n mu)
{ "end_col": 3, "end_line": 86, "start_col": 40, "start_line": 81 }
Prims.Tot
val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in //assert (bn_v resM % bn_v n == LE.exp_rl k (bn_v aM % bn_v n) bBits (bn_v b)); SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); //assert (bn_v resM % bn_v n == LE.pow k (bn_v aM % bn_v n) (bn_v b)); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM
val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b =
false
null
false
let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.pow2", "Prims.unit", "Hacl.Spec.Exponentiation.Lemmas.pow_nat_mont_ll_mod_base", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Lib.Exponentiation.exp_rl_lemma", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__a_spec", "Spec.Exponentiation.__proj__Mkconcrete_ops__item__to", "Prims.op_Modulus", "Spec.Exponentiation.exp_rl_lemma", "Spec.Exponentiation.exp_rl", "Lib.Exponentiation.Definition.comm_monoid", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__comm_monoid", "Spec.Exponentiation.concrete_ops", "Hacl.Spec.Bignum.AlmostMontExponentiation.mk_bn_almost_mont_concrete_ops" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract let bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b)) // no diff between vartime and consttime at the spec level
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_bm_vartime
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st t len
{ "end_col": 6, "end_line": 130, "start_col": 59, "start_line": 120 }
Prims.Tot
val bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_fw #t #len l n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in SE.exp_fw_lemma k1 aM bBits (bn_v b) l; LE.exp_fw_lemma k1.SE.to.SE.comm_monoid (bn_v aM % bn_v n) bBits (bn_v b) l; E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_fw k1 aM bBits (bn_v b) l
val bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_fw #t #len l n mu aM bBits b =
false
null
false
let k1 = mk_bn_almost_mont_concrete_ops n mu in SE.exp_fw_lemma k1 aM bBits (bn_v b) l; LE.exp_fw_lemma k1.SE.to.SE.comm_monoid (bn_v aM % bn_v n) bBits (bn_v b) l; E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_fw k1 aM bBits (bn_v b) l
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Lib.IntTypes.size_pos", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Lib.IntTypes.bits", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Prims.pow2", "Lib.IntTypes.max_size_t", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Hacl.Spec.Bignum.Definitions.bn_v", "Spec.Exponentiation.exp_fw", "Prims.unit", "Hacl.Spec.Exponentiation.Lemmas.pow_nat_mont_ll_mod_base", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Lib.Exponentiation.exp_fw_lemma", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__a_spec", "Spec.Exponentiation.__proj__Mkconcrete_ops__item__to", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__comm_monoid", "Prims.op_Modulus", "Spec.Exponentiation.exp_fw_lemma", "Spec.Exponentiation.concrete_ops", "Hacl.Spec.Bignum.AlmostMontExponentiation.mk_bn_almost_mont_concrete_ops" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract let bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b)) // no diff between vartime and consttime at the spec level val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in //assert (bn_v resM % bn_v n == LE.exp_rl k (bn_v aM % bn_v n) bBits (bn_v b)); SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); //assert (bn_v resM % bn_v n == LE.pow k (bn_v aM % bn_v n) (bn_v b)); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM val bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_consttime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in SE.exp_mont_ladder_swap_lemma k1 aM bBits (bn_v b); LE.exp_mont_ladder_swap_lemma k (bn_v aM % bn_v n) bBits (bn_v b); LE.exp_mont_ladder_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_mont_ladder_swap k1 aM bBits (bn_v b) val bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_fw: #t:limb_t -> #len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_exp_almost_mont_st t len
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_fw
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
l: Lib.IntTypes.size_pos{l < Lib.IntTypes.bits t /\ Prims.pow2 l * len <= Lib.IntTypes.max_size_t} -> Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st t len
{ "end_col": 34, "end_line": 156, "start_col": 53, "start_line": 151 }
Prims.Tot
val bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontgomery", "short_module": "BA" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.AlmostMontgomery.Lemmas", "short_module": "AM" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "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": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "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 bn_exp_almost_mont_bm_consttime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in SE.exp_mont_ladder_swap_lemma k1 aM bBits (bn_v b); LE.exp_mont_ladder_swap_lemma k (bn_v aM % bn_v n) bBits (bn_v b); LE.exp_mont_ladder_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_mont_ladder_swap k1 aM bBits (bn_v b)
val bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_consttime #t #len n mu aM bBits b =
false
null
false
let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in SE.exp_mont_ladder_swap_lemma k1 aM bBits (bn_v b); LE.exp_mont_ladder_swap_lemma k (bn_v aM % bn_v n) bBits (bn_v b); LE.exp_mont_ladder_lemma k (bn_v aM % bn_v n) bBits (bn_v b); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); SE.exp_mont_ladder_swap k1 aM bBits (bn_v b)
{ "checked_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst.checked", "dependencies": [ "Spec.Exponentiation.fsti.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Hacl.Spec.Exponentiation.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.MontExponentiation.fst.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.AlmostMontgomery.fsti.checked", "Hacl.Spec.Bignum.fsti.checked", "Hacl.Spec.AlmostMontgomery.Lemmas.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.AlmostMontExponentiation.fst" }
[ "total" ]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Hacl.Spec.Bignum.Montgomery.bn_mont_pre", "Hacl.Spec.Bignum.MontExponentiation.bn_mont_t", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.pow2", "Spec.Exponentiation.exp_mont_ladder_swap", "Prims.unit", "Hacl.Spec.Exponentiation.Lemmas.pow_nat_mont_ll_mod_base", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Lib.Exponentiation.exp_mont_ladder_lemma", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__a_spec", "Spec.Exponentiation.__proj__Mkconcrete_ops__item__to", "Prims.op_Modulus", "Lib.Exponentiation.exp_mont_ladder_swap_lemma", "Spec.Exponentiation.exp_mont_ladder_swap_lemma", "Lib.Exponentiation.Definition.comm_monoid", "Spec.Exponentiation.__proj__Mkto_comm_monoid__item__comm_monoid", "Spec.Exponentiation.concrete_ops", "Hacl.Spec.Bignum.AlmostMontExponentiation.mk_bn_almost_mont_concrete_ops" ]
[]
module Hacl.Spec.Bignum.AlmostMontExponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module LE = Lib.Exponentiation module SE = Spec.Exponentiation module E = Hacl.Spec.Exponentiation.Lemmas module AM = Hacl.Spec.AlmostMontgomery.Lemmas module BN = Hacl.Spec.Bignum module BM = Hacl.Spec.Bignum.Montgomery module BA = Hacl.Spec.Bignum.AlmostMontgomery module ME = Hacl.Spec.Bignum.MontExponentiation #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let amm_refl (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len{0 < bn_v n}) (x:lbignum t len) : Lib.NatMod.nat_mod (bn_v n) = bn_v x % bn_v n let mk_to_nat_mont_ll_comm_monoid (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.to_comm_monoid (lbignum t len) = { SE.a_spec = Lib.NatMod.nat_mod (bn_v n); SE.comm_monoid = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu); SE.refl = amm_refl n; } val bn_almost_mont_one: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.one_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_one #t #len n mu _ = let one = ME.bn_mont_one n mu () in assert (bn_v one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); Math.Lemmas.small_mod (bn_v one) (bn_v n); assert (amm_refl n one == E.mont_one_ll (bits t) len (bn_v n) (v mu)); one val bn_almost_mont_mul: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.mul_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_mul #t #len n mu aM bM = let c = BA.bn_almost_mont_mul n mu aM bM in BA.bn_almost_mont_mul_lemma n mu aM bM; bn_eval_bound aM len; bn_eval_bound bM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v bM); c val bn_almost_mont_sqr: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> SE.sqr_st (lbignum t len) (mk_to_nat_mont_ll_comm_monoid n mu) let bn_almost_mont_sqr #t #len n mu aM = let c = BA.bn_almost_mont_sqr n mu aM in BA.bn_almost_mont_sqr_lemma n mu aM; bn_eval_bound aM len; AM.almost_mont_mul_is_mont_mul_lemma (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v aM); c let mk_bn_almost_mont_concrete_ops (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (mu:limb t{BM.bn_mont_pre n mu}) : SE.concrete_ops (lbignum t len) = { SE.to = mk_to_nat_mont_ll_comm_monoid n mu; SE.one = bn_almost_mont_one #t #len n mu; SE.mul = bn_almost_mont_mul #t #len n mu; SE.sqr = bn_almost_mont_sqr #t #len n mu; } /////////////////////////////////////////////////////////////////////////////// noextract let bn_exp_almost_mont_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t{BM.bn_mont_pre n mu} -> aM:ME.bn_mont_t n -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)){bn_v b < pow2 bBits} -> Pure (lbignum t len) (requires True) (ensures fun resM -> let k = E.mk_nat_mont_ll_comm_monoid (bits t) len (bn_v n) (v mu) in bn_v resM % bn_v n == LE.pow k (bn_v aM) (bn_v b)) // no diff between vartime and consttime at the spec level val bn_exp_almost_mont_bm_vartime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len let bn_exp_almost_mont_bm_vartime #t #len n mu aM bBits b = let k1 = mk_bn_almost_mont_concrete_ops n mu in let k = k1.SE.to.SE.comm_monoid in let resM = SE.exp_rl k1 aM bBits (bn_v b) in //assert (bn_v resM % bn_v n == LE.exp_rl k (bn_v aM % bn_v n) bBits (bn_v b)); SE.exp_rl_lemma k1 aM bBits (bn_v b); LE.exp_rl_lemma k (bn_v aM % bn_v n) bBits (bn_v b); //assert (bn_v resM % bn_v n == LE.pow k (bn_v aM % bn_v n) (bn_v b)); E.pow_nat_mont_ll_mod_base (bits t) len (bn_v n) (v mu) (bn_v aM) (bn_v b); resM
false
false
Hacl.Spec.Bignum.AlmostMontExponentiation.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 bn_exp_almost_mont_bm_consttime: #t:limb_t -> #len:BN.bn_len t -> bn_exp_almost_mont_st t len
[]
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_bm_consttime
{ "file_name": "code/bignum/Hacl.Spec.Bignum.AlmostMontExponentiation.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
Hacl.Spec.Bignum.AlmostMontExponentiation.bn_exp_almost_mont_st t len
{ "end_col": 46, "end_line": 142, "start_col": 61, "start_line": 134 }
Prims.Tot
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 done = return ()
let done =
false
null
false
return ()
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.return", "Prims.unit" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind
false
true
Steel.Channel.Protocol.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 done : Steel.Channel.Protocol.protocol Prims.unit
[]
Steel.Channel.Protocol.done
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
Steel.Channel.Protocol.protocol Prims.unit
{ "end_col": 20, "end_line": 68, "start_col": 11, "start_line": 68 }
Prims.GTot
val finished (p: protocol 'a) : GTot bool
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 finished (p:protocol 'a) : GTot bool = Return? (hnf p)
val finished (p: protocol 'a) : GTot bool let finished (p: protocol 'a) : GTot bool =
false
null
false
Return? (hnf p)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "sometrivial" ]
[ "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.uu___is_Return", "Steel.Channel.Protocol.hnf", "Prims.bool" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p
false
false
Steel.Channel.Protocol.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 finished (p: protocol 'a) : GTot bool
[]
Steel.Channel.Protocol.finished
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol 'a -> Prims.GTot Prims.bool
{ "end_col": 58, "end_line": 86, "start_col": 43, "start_line": 86 }
Prims.Tot
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 protocol a = p:prot a { ok p }
let protocol a =
false
null
false
p: prot a {ok p}
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.prot", "Steel.Channel.Protocol.ok" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k
false
true
Steel.Channel.Protocol.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 protocol : a: Type0 -> Type
[]
Steel.Channel.Protocol.protocol
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
a: Type0 -> Type
{ "end_col": 34, "end_line": 35, "start_col": 17, "start_line": 35 }
Prims.Tot
val xy:prot unit
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return ()
val xy:prot unit let xy:prot unit =
false
null
false
let^ x = send int in let^ y = recv (y: int{y > x}) in return ()
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.op_let_Hat", "Prims.int", "Prims.unit", "Steel.Channel.Protocol.send", "Prims.b2t", "Prims.op_GreaterThan", "Steel.Channel.Protocol.recv", "Steel.Channel.Protocol.return", "Steel.Channel.Protocol.protocol" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *)
false
true
Steel.Channel.Protocol.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 xy:prot unit
[]
Steel.Channel.Protocol.xy
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
Steel.Channel.Protocol.prot Prims.unit
{ "end_col": 11, "end_line": 78, "start_col": 2, "start_line": 76 }
Prims.GTot
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 more (p:protocol unit) = more_msgs p
let more (p: protocol unit) =
false
null
false
more_msgs p
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "sometrivial" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.more_msgs", "Prims.bool" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg}
false
false
Steel.Channel.Protocol.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 more : p: Steel.Channel.Protocol.protocol Prims.unit -> Prims.GTot Prims.bool
[]
Steel.Channel.Protocol.more
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol Prims.unit -> Prims.GTot Prims.bool
{ "end_col": 40, "end_line": 148, "start_col": 29, "start_line": 148 }
Prims.GTot
val more_msgs (p: protocol 'a) : GTot bool
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p)
val more_msgs (p: protocol 'a) : GTot bool let more_msgs (p: protocol 'a) : GTot bool =
false
null
false
Msg? (hnf p)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "sometrivial" ]
[ "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.uu___is_Msg", "Steel.Channel.Protocol.hnf", "Prims.bool" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p
false
false
Steel.Channel.Protocol.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 more_msgs (p: protocol 'a) : GTot bool
[]
Steel.Channel.Protocol.more_msgs
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol 'a -> Prims.GTot Prims.bool
{ "end_col": 56, "end_line": 87, "start_col": 44, "start_line": 87 }
Prims.Tot
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 until #p (tr:partial_trace_of p) = tr.to
let until #p (tr: partial_trace_of p) =
false
null
false
tr.to
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.partial_trace_of", "Steel.Channel.Protocol.__proj__Mkpartial_trace_of__item__to" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg} let more (p:protocol unit) = more_msgs p let tag_of (p:protocol unit{more p}) : GTot tag = Msg?._0 (hnf p) let msg_t (p:protocol unit) = next_msg_t p
false
false
Steel.Channel.Protocol.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 until : tr: Steel.Channel.Protocol.partial_trace_of p -> Steel.Channel.Protocol.protocol Prims.unit
[]
Steel.Channel.Protocol.until
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
tr: Steel.Channel.Protocol.partial_trace_of p -> Steel.Channel.Protocol.protocol Prims.unit
{ "end_col": 44, "end_line": 152, "start_col": 39, "start_line": 152 }
Prims.Tot
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 msg_t (p:protocol unit) = next_msg_t p
let msg_t (p: protocol unit) =
false
null
false
next_msg_t p
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.next_msg_t" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg} let more (p:protocol unit) = more_msgs p
false
true
Steel.Channel.Protocol.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 msg_t : p: Steel.Channel.Protocol.protocol Prims.unit -> Type0
[]
Steel.Channel.Protocol.msg_t
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol Prims.unit -> Type0
{ "end_col": 42, "end_line": 150, "start_col": 30, "start_line": 150 }
Prims.Tot
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 extension_of #p (tr:partial_trace_of p) = ts:partial_trace_of p{tr `extended_to` ts}
let extension_of #p (tr: partial_trace_of p) =
false
null
false
ts: partial_trace_of p {tr `extended_to` ts}
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.partial_trace_of", "Steel.Channel.Protocol.extended_to" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg} let more (p:protocol unit) = more_msgs p let tag_of (p:protocol unit{more p}) : GTot tag = Msg?._0 (hnf p)
false
false
Steel.Channel.Protocol.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 extension_of : tr: Steel.Channel.Protocol.partial_trace_of p -> Type
[]
Steel.Channel.Protocol.extension_of
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
tr: Steel.Channel.Protocol.partial_trace_of p -> Type
{ "end_col": 88, "end_line": 151, "start_col": 46, "start_line": 151 }
Prims.Tot
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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_tag = function | Send -> Recv | Recv -> Send
let flip_tag =
false
null
false
function | Send -> Recv | Recv -> Send
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.tag", "Steel.Channel.Protocol.Recv", "Steel.Channel.Protocol.Send" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p }
false
true
Steel.Channel.Protocol.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_tag : _: Steel.Channel.Protocol.tag -> Steel.Channel.Protocol.tag
[]
Steel.Channel.Protocol.flip_tag
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
_: Steel.Channel.Protocol.tag -> Steel.Channel.Protocol.tag
{ "end_col": 16, "end_line": 40, "start_col": 15, "start_line": 38 }
Prims.Tot
val return (#a: Type) (x: a) : protocol a
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 return (#a:Type) (x:a) : protocol a = Return x
val return (#a: Type) (x: a) : protocol a let return (#a: Type) (x: a) : protocol a =
false
null
false
Return x
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.Return", "Steel.Channel.Protocol.protocol" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind
false
false
Steel.Channel.Protocol.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 return (#a: Type) (x: a) : protocol a
[]
Steel.Channel.Protocol.return
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
x: a -> Steel.Channel.Protocol.protocol a
{ "end_col": 50, "end_line": 67, "start_col": 42, "start_line": 67 }
Prims.Tot
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k
let rec ok #a (p: prot a) =
false
null
false
match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.prot", "Prims.l_True", "Steel.Channel.Protocol.tag", "Prims.l_Forall", "Steel.Channel.Protocol.ok", "Prims.bool", "Prims.l_and", "Prims.b2t", "Steel.Channel.Protocol.uu___is_Msg" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a
false
false
Steel.Channel.Protocol.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 ok : p: Steel.Channel.Protocol.prot a -> Type0
[ "recursion" ]
Steel.Channel.Protocol.ok
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.prot a -> Type0
{ "end_col": 41, "end_line": 33, "start_col": 2, "start_line": 30 }
Prims.Tot
val recv (t: Type) : protocol t
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 recv (t:Type) : protocol t = Msg Recv t (fun x -> return x)
val recv (t: Type) : protocol t let recv (t: Type) : protocol t =
false
null
false
Msg Recv t (fun x -> return x)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.Msg", "Steel.Channel.Protocol.Recv", "Steel.Channel.Protocol.return", "Steel.Channel.Protocol.prot", "Steel.Channel.Protocol.protocol" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return ()
false
false
Steel.Channel.Protocol.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 recv (t: Type) : protocol t
[]
Steel.Channel.Protocol.recv
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Type0 -> Steel.Channel.Protocol.protocol t
{ "end_col": 63, "end_line": 70, "start_col": 33, "start_line": 70 }
Prims.Tot
val send (t: Type) : protocol t
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 send (t:Type) : protocol t = Msg Send t (fun x -> return x)
val send (t: Type) : protocol t let send (t: Type) : protocol t =
false
null
false
Msg Send t (fun x -> return x)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.Msg", "Steel.Channel.Protocol.Send", "Steel.Channel.Protocol.return", "Steel.Channel.Protocol.prot", "Steel.Channel.Protocol.protocol" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x
false
false
Steel.Channel.Protocol.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 send (t: Type) : protocol t
[]
Steel.Channel.Protocol.send
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Type0 -> Steel.Channel.Protocol.protocol t
{ "end_col": 63, "end_line": 69, "start_col": 33, "start_line": 69 }
Prims.Tot
val step (p: protocol 'a {more_msgs p}) (x: next_msg_t p) : protocol 'a
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x
val step (p: protocol 'a {more_msgs p}) (x: next_msg_t p) : protocol 'a let step (p: protocol 'a {more_msgs p}) (x: next_msg_t p) : protocol 'a =
false
null
false
Msg?.k (hnf p) x
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.b2t", "Steel.Channel.Protocol.more_msgs", "Steel.Channel.Protocol.next_msg_t", "Steel.Channel.Protocol.__proj__Msg__item__k", "Steel.Channel.Protocol.hnf" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p)
false
false
Steel.Channel.Protocol.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 step (p: protocol 'a {more_msgs p}) (x: next_msg_t p) : protocol 'a
[]
Steel.Channel.Protocol.step
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol 'a {Steel.Channel.Protocol.more_msgs p} -> x: Steel.Channel.Protocol.next_msg_t p -> Steel.Channel.Protocol.protocol 'a
{ "end_col": 87, "end_line": 89, "start_col": 71, "start_line": 89 }
Prims.Tot
val bind (#a #b: _) (p: protocol a) (q: (a -> protocol b)) : protocol b
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q)
val bind (#a #b: _) (p: protocol a) (q: (a -> protocol b)) : protocol b let rec bind #a #b (p: protocol a) (q: (a -> protocol b)) : protocol b =
false
null
false
match p with | Return v -> q v | Msg tag c #a' k -> let k: c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.tag", "Steel.Channel.Protocol.prot", "Steel.Channel.Protocol.Msg", "Steel.Channel.Protocol.bind", "Prims.bool", "Steel.Channel.Protocol.DoWhile" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b))
false
false
Steel.Channel.Protocol.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 bind (#a #b: _) (p: protocol a) (q: (a -> protocol b)) : protocol b
[ "recursion" ]
Steel.Channel.Protocol.bind
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol a -> q: (_: a -> Steel.Channel.Protocol.protocol b) -> Steel.Channel.Protocol.protocol b
{ "end_col": 41, "end_line": 62, "start_col": 4, "start_line": 55 }
Prims.Tot
val hnf (p: protocol 'a) : (q: protocol 'a {(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))})
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p
val hnf (p: protocol 'a) : (q: protocol 'a {(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) let rec hnf (p: protocol 'a) : (q: protocol 'a {(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) =
false
null
false
match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.prot", "Prims.bool", "Steel.Channel.Protocol.op_let_Hat", "Steel.Channel.Protocol.hnf", "Steel.Channel.Protocol.DoWhile", "Prims.l_and", "Prims.l_or", "Prims.b2t", "Steel.Channel.Protocol.uu___is_Return", "Steel.Channel.Protocol.uu___is_Msg", "Prims.l_imp", "Prims.l_not", "Steel.Channel.Protocol.uu___is_DoWhile", "Prims.eq2" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a)
false
false
Steel.Channel.Protocol.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 hnf (p: protocol 'a) : (q: protocol 'a {(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))})
[ "recursion" ]
Steel.Channel.Protocol.hnf
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol 'a -> q: Steel.Channel.Protocol.protocol 'a {(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> p == q)}
{ "end_col": 12, "end_line": 84, "start_col": 4, "start_line": 82 }
Prims.Tot
val next (#p: protocol unit) : P.relation (partial_trace_of p)
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg)
val next (#p: protocol unit) : P.relation (partial_trace_of p) let next (#p: protocol unit) : P.relation (partial_trace_of p) =
false
null
false
fun (t0: partial_trace_of p) (t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg: next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.partial_trace_of", "Prims.l_and", "Prims.b2t", "Steel.Channel.Protocol.more_msgs", "Steel.Channel.Protocol.__proj__Mkpartial_trace_of__item__to", "Prims.l_Exists", "Steel.Channel.Protocol.next_msg_t", "Prims.eq2", "Steel.Channel.Protocol.step", "Steel.Channel.Protocol.trace", "Steel.Channel.Protocol.__proj__Mkpartial_trace_of__item__tr", "Steel.Channel.Protocol.extend", "FStar.Preorder.relation" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure
false
false
Steel.Channel.Protocol.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 next (#p: protocol unit) : P.relation (partial_trace_of p)
[]
Steel.Channel.Protocol.next
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
FStar.Preorder.relation (Steel.Channel.Protocol.partial_trace_of p)
{ "end_col": 32, "end_line": 136, "start_col": 2, "start_line": 132 }
Prims.Tot
val extended_to (#p: protocol unit) : P.preorder (partial_trace_of p)
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p)
val extended_to (#p: protocol unit) : P.preorder (partial_trace_of p) let extended_to (#p: protocol unit) : P.preorder (partial_trace_of p) =
false
null
false
R.closure (next #p)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "FStar.ReflexiveTransitiveClosure.closure", "Steel.Channel.Protocol.partial_trace_of", "Steel.Channel.Protocol.next", "FStar.Preorder.preorder" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg)
false
false
Steel.Channel.Protocol.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 extended_to (#p: protocol unit) : P.preorder (partial_trace_of p)
[]
Steel.Channel.Protocol.extended_to
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
FStar.Preorder.preorder (Steel.Channel.Protocol.partial_trace_of p)
{ "end_col": 21, "end_line": 139, "start_col": 2, "start_line": 139 }
Prims.Tot
val dual (#a: _) (p: protocol a) : q: protocol a {Msg? p ==> Msg? q}
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k)
val dual (#a: _) (p: protocol a) : q: protocol a {Msg? p ==> Msg? q} let rec dual #a (p: protocol a) : q: protocol a {Msg? p ==> Msg? q} =
false
null
false
match p with | Return _ -> p | Msg tag b #a k -> let k: b -> protocol a = fun (x: b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Steel.Channel.Protocol.tag", "Steel.Channel.Protocol.prot", "Steel.Channel.Protocol.Msg", "Steel.Channel.Protocol.flip_tag", "Steel.Channel.Protocol.dual", "Prims.bool", "Steel.Channel.Protocol.DoWhile", "Prims.l_imp", "Prims.b2t", "Steel.Channel.Protocol.uu___is_Msg" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send
false
false
Steel.Channel.Protocol.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 dual (#a: _) (p: protocol a) : q: protocol a {Msg? p ==> Msg? q}
[ "recursion" ]
Steel.Channel.Protocol.dual
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol a -> q: Steel.Channel.Protocol.protocol a {Msg? p ==> Msg? q}
{ "end_col": 50, "end_line": 50, "start_col": 2, "start_line": 43 }
Prims.GTot
val tag_of (p: protocol unit {more p}) : GTot tag
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 tag_of (p:protocol unit{more p}) : GTot tag = Msg?._0 (hnf p)
val tag_of (p: protocol unit {more p}) : GTot tag let tag_of (p: protocol unit {more p}) : GTot tag =
false
null
false
Msg?._0 (hnf p)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "sometrivial" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Prims.b2t", "Steel.Channel.Protocol.more", "Steel.Channel.Protocol.__proj__Msg__item___0", "Steel.Channel.Protocol.hnf", "Steel.Channel.Protocol.tag" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg}
false
false
Steel.Channel.Protocol.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 tag_of (p: protocol unit {more p}) : GTot tag
[]
Steel.Channel.Protocol.tag_of
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
p: Steel.Channel.Protocol.protocol Prims.unit {Steel.Channel.Protocol.more p} -> Prims.GTot Steel.Channel.Protocol.tag
{ "end_col": 65, "end_line": 149, "start_col": 50, "start_line": 149 }
Prims.Tot
val extend_partial_trace (#p: protocol unit) (x: partial_trace_of p) (msg: next_msg_t x.to {more_msgs x.to}) : Tot (y: partial_trace_of p {x `extended_to` y})
[ { "abbrev": true, "full_module": "FStar.ReflexiveTransitiveClosure", "short_module": "R" }, { "abbrev": true, "full_module": "FStar.Preorder", "short_module": "P" }, { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to}) : Tot (y:partial_trace_of p{x `extended_to` y}) = { to=_; tr=extend x.tr msg}
val extend_partial_trace (#p: protocol unit) (x: partial_trace_of p) (msg: next_msg_t x.to {more_msgs x.to}) : Tot (y: partial_trace_of p {x `extended_to` y}) let extend_partial_trace (#p: protocol unit) (x: partial_trace_of p) (msg: next_msg_t x.to {more_msgs x.to}) : Tot (y: partial_trace_of p {x `extended_to` y}) =
false
null
false
{ to = _; tr = extend x.tr msg }
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.partial_trace_of", "Steel.Channel.Protocol.next_msg_t", "Steel.Channel.Protocol.__proj__Mkpartial_trace_of__item__to", "Prims.b2t", "Steel.Channel.Protocol.more_msgs", "Steel.Channel.Protocol.Mkpartial_trace_of", "Steel.Channel.Protocol.step", "Steel.Channel.Protocol.extend", "Steel.Channel.Protocol.__proj__Mkpartial_trace_of__item__tr", "Steel.Channel.Protocol.extended_to" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail noeq type partial_trace_of (p:protocol unit) = { to:protocol unit; tr:trace p to } module P = FStar.Preorder module R = FStar.ReflexiveTransitiveClosure let next (#p:protocol unit) : P.relation (partial_trace_of p) = fun (t0 t1: partial_trace_of p) -> more_msgs t0.to /\ (exists (msg:next_msg_t t0.to). t1.to == step t0.to msg /\ t1.tr == extend t0.tr msg) let extended_to (#p:protocol unit) : P.preorder (partial_trace_of p) = R.closure (next #p) let extend_partial_trace (#p:protocol unit) (x:partial_trace_of p) (msg:next_msg_t x.to{more_msgs x.to})
false
false
Steel.Channel.Protocol.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 extend_partial_trace (#p: protocol unit) (x: partial_trace_of p) (msg: next_msg_t x.to {more_msgs x.to}) : Tot (y: partial_trace_of p {x `extended_to` y})
[]
Steel.Channel.Protocol.extend_partial_trace
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
x: Steel.Channel.Protocol.partial_trace_of p -> msg: Steel.Channel.Protocol.next_msg_t (Mkpartial_trace_of?.to x) {Steel.Channel.Protocol.more_msgs (Mkpartial_trace_of?.to x)} -> y: Steel.Channel.Protocol.partial_trace_of p {Steel.Channel.Protocol.extended_to x y}
{ "end_col": 30, "end_line": 145, "start_col": 6, "start_line": 145 }
Prims.Tot
val last_step_of (#from #to: protocol unit) (t: trace from to {~(Waiting? t)}) : Tot (q: protocol unit & x: next_msg_t q & squash (more_msgs q /\ to == step q x)) (decreases t)
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x)) (decreases t) = match t with | Message _ x _ (Waiting _) -> (| from , x, () |) | Message _ _ _ tail -> last_step_of tail
val last_step_of (#from #to: protocol unit) (t: trace from to {~(Waiting? t)}) : Tot (q: protocol unit & x: next_msg_t q & squash (more_msgs q /\ to == step q x)) (decreases t) let rec last_step_of (#from #to: protocol unit) (t: trace from to {~(Waiting? t)}) : Tot (q: protocol unit & x: next_msg_t q & squash (more_msgs q /\ to == step q x)) (decreases t) =
false
null
false
match t with | Message _ x _ (Waiting _) -> (| from, x, () |) | Message _ _ _ tail -> last_step_of tail
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total", "" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.trace", "Prims.l_not", "Prims.b2t", "Steel.Channel.Protocol.uu___is_Waiting", "Steel.Channel.Protocol.more_msgs", "Steel.Channel.Protocol.next_msg_t", "FStar.Pervasives.Mkdtuple3", "Prims.squash", "Prims.l_and", "Prims.eq2", "Steel.Channel.Protocol.step", "Steel.Channel.Protocol.last_step_of", "FStar.Pervasives.dtuple3" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m) let rec last_step_of (#from #to:protocol unit) (t:trace from to { ~ (Waiting? t) }) : Tot (q:protocol unit & x:next_msg_t q & squash (more_msgs q /\to == step q x))
false
false
Steel.Channel.Protocol.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 last_step_of (#from #to: protocol unit) (t: trace from to {~(Waiting? t)}) : Tot (q: protocol unit & x: next_msg_t q & squash (more_msgs q /\ to == step q x)) (decreases t)
[ "recursion" ]
Steel.Channel.Protocol.last_step_of
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Steel.Channel.Protocol.trace from to {~(Waiting? t)} -> Prims.Tot (FStar.Pervasives.dtuple3 (Steel.Channel.Protocol.protocol Prims.unit) (fun q -> Steel.Channel.Protocol.next_msg_t q) (fun q x -> Prims.squash (Steel.Channel.Protocol.more_msgs q /\ to == Steel.Channel.Protocol.step q x)))
{ "end_col": 46, "end_line": 120, "start_col": 5, "start_line": 118 }
Prims.Tot
val extend (#from #to: protocol unit) (t: trace from to {more_msgs to}) (m: next_msg_t to) : Tot (trace from (step to m)) (decreases t)
[ { "abbrev": false, "full_module": "Steel.Channel", "short_module": null }, { "abbrev": false, "full_module": "Steel.Channel", "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 extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to) : Tot (trace from (step to m)) (decreases t) = match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m)
val extend (#from #to: protocol unit) (t: trace from to {more_msgs to}) (m: next_msg_t to) : Tot (trace from (step to m)) (decreases t) let rec extend (#from #to: protocol unit) (t: trace from to {more_msgs to}) (m: next_msg_t to) : Tot (trace from (step to m)) (decreases t) =
false
null
false
match t with | Waiting _ -> Message _ _ _ (Waiting (step to m)) | Message _from x _to tail -> Message _ _ _ (extend tail m)
{ "checked_file": "Steel.Channel.Protocol.fst.checked", "dependencies": [ "prims.fst.checked", "FStar.ReflexiveTransitiveClosure.fsti.checked", "FStar.Preorder.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Steel.Channel.Protocol.fst" }
[ "total", "" ]
[ "Steel.Channel.Protocol.protocol", "Prims.unit", "Steel.Channel.Protocol.trace", "Prims.b2t", "Steel.Channel.Protocol.more_msgs", "Steel.Channel.Protocol.next_msg_t", "Steel.Channel.Protocol.Message", "Steel.Channel.Protocol.step", "Steel.Channel.Protocol.Waiting", "Steel.Channel.Protocol.extend" ]
[]
(* Copyright 2020 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module Steel.Channel.Protocol type tag = | Send | Recv // AF: Make it non erasable for now to implement duplex.PCM //[@@erasable] noeq type prot : Type -> Type = | Return : #a:Type -> v:a -> prot a | Msg : tag -> a:Type -> #b:Type -> k:(a -> prot b) -> prot b | DoWhile : prot bool -> #a:Type -> k:prot a -> prot a let rec ok #a (p:prot a) = match p with | Return _ -> True | Msg _ a k -> (forall x. ok (k x)) | DoWhile p k -> Msg? p /\ ok p /\ ok k let protocol a = p:prot a { ok p } let flip_tag = function | Send -> Recv | Recv -> Send let rec dual #a (p:protocol a) : q:protocol a{Msg? p ==> Msg? q} = match p with | Return _ -> p | Msg tag b #a k -> let k : b -> protocol a = fun (x:b) -> dual #a (k x) in Msg (flip_tag tag) b #a k | DoWhile p #a k -> DoWhile (dual p) #a (dual k) let rec bind #a #b (p:protocol a) (q:(a -> protocol b)) : protocol b = match p with | Return v -> q v | Msg tag c #a' k -> let k : c -> protocol b = fun x -> bind (k x) q in Msg tag c k | DoWhile w k -> DoWhile w (bind k q) unfold let (let^) = bind let return (#a:Type) (x:a) : protocol a = Return x let done = return () let send (t:Type) : protocol t = Msg Send t (fun x -> return x) let recv (t:Type) : protocol t = Msg Recv t (fun x -> return x) (* Some simple protocols *) (* Send an int [x], recv a [y > x] *) let xy : prot unit = let^ x = send int in let^ y = recv (y:int{y > x}) in return () let rec hnf (p:protocol 'a) : (q:protocol 'a{(Return? q \/ Msg? q) /\ (~(DoWhile? p) ==> (p == q))}) = match p with | DoWhile p k -> let^ b = hnf p in if b then DoWhile p k else k | _ -> p let finished (p:protocol 'a) : GTot bool = Return? (hnf p) let more_msgs (p:protocol 'a) : GTot bool = Msg? (hnf p) let next_msg_t (p:protocol 'a) : Type = match hnf p with | Msg _ a _ -> a | Return #a _ -> a let step (p:protocol 'a{more_msgs p}) (x:next_msg_t p) : protocol 'a = Msg?.k (hnf p) x noeq type trace : from:protocol unit -> to:protocol unit -> Type = | Waiting : p:protocol unit -> trace p p | Message : from:protocol unit{more_msgs from} -> x:next_msg_t from -> to:protocol unit -> trace (step from x) to-> trace from to let rec extend (#from #to:protocol unit) (t:trace from to{more_msgs to}) (m:next_msg_t to)
false
false
Steel.Channel.Protocol.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 extend (#from #to: protocol unit) (t: trace from to {more_msgs to}) (m: next_msg_t to) : Tot (trace from (step to m)) (decreases t)
[ "recursion" ]
Steel.Channel.Protocol.extend
{ "file_name": "lib/steel/Steel.Channel.Protocol.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
t: Steel.Channel.Protocol.trace from to {Steel.Channel.Protocol.more_msgs to} -> m: Steel.Channel.Protocol.next_msg_t to -> Prims.Tot (Steel.Channel.Protocol.trace from (Steel.Channel.Protocol.step to m))
{ "end_col": 35, "end_line": 109, "start_col": 4, "start_line": 105 }
Prims.GTot
val no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x'
val no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
forall (x: bytes) (x': bytes). {:pattern (no_lookahead_on_precond f x x')\/(no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x'
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.l_imp", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "LowParse.Spec.Base.no_lookahead_on", "LowParse.Spec.Base.no_lookahead_on_postcond", "LowParse.Spec.Base.no_lookahead_on_precond" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t)
false
false
LowParse.Spec.Fuel.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_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.no_lookahead_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 179, "end_line": 16, "start_col": 2, "start_line": 16 }
Prims.GTot
val injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2
val injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 =
false
null
false
forall (b1: bytes) (b2: bytes). {:pattern (injective_precond p b1 b2)\/(injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.l_imp", "Prims.l_and", "LowParse.Spec.Base.injective_precond", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "LowParse.Spec.Base.injective_postcond" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq
false
false
LowParse.Spec.Fuel.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 injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.injective_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> p: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 28, "end_line": 9, "start_col": 2, "start_line": 7 }
Prims.GTot
val is_total_constant_size_parser_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s))
val is_total_constant_size_parser_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 let is_total_constant_size_parser_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
forall (s: bytes{Seq.length s < fuel}). {:pattern (parse f s)} (Seq.length s < sz) == (None? (parse f s))
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.eq2", "Prims.bool", "FStar.Pervasives.Native.uu___is_None", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t)
false
false
LowParse.Spec.Fuel.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_total_constant_size_parser_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.is_total_constant_size_parser_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> sz: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 44, "end_line": 66, "start_col": 2, "start_line": 65 }
Prims.GTot
val parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None
val parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
forall (input: bytes{Seq.length input < fuel}). {:pattern (parse f input)} parse f input == None
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "FStar.Pervasives.Native.None" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s))
false
false
LowParse.Spec.Fuel.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 parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parser_always_fails_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 102, "end_line": 69, "start_col": 2, "start_line": 69 }
Prims.GTot
val parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f
val parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 =
false
null
false
injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "Prims.l_and", "LowParse.Spec.Base.injective", "Prims.l_imp", "Prims.b2t", "FStar.Pervasives.Native.uu___is_Some", "LowParse.Spec.Base.parser_subkind", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_subkind", "LowParse.Spec.Base.parser_subkind_prop", "FStar.Pervasives.Native.__proj__Some__item__v", "LowParse.Spec.Base.parses_at_least", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_low", "Prims.nat", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_high", "LowParse.Spec.Base.parses_at_most", "LowParse.Spec.Base.parser_kind_metadata_prop" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold
false
false
LowParse.Spec.Fuel.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 parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parser_kind_prop'
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 31, "end_line": 90, "start_col": 2, "start_line": 86 }
Prims.GTot
val parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f
val parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 =
false
null
false
injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "Prims.l_and", "LowParse.Spec.Fuel.injective_fuel", "Prims.l_imp", "Prims.b2t", "FStar.Pervasives.Native.uu___is_Some", "LowParse.Spec.Base.parser_subkind", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_subkind", "LowParse.Spec.Fuel.parser_subkind_prop_fuel", "FStar.Pervasives.Native.__proj__Some__item__v", "LowParse.Spec.Fuel.parses_at_least_fuel", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_low", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_high", "LowParse.Spec.Fuel.parses_at_most_fuel", "LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f
false
false
LowParse.Spec.Fuel.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 parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parser_kind_prop_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 41, "end_line": 82, "start_col": 2, "start_line": 78 }
Prims.Tot
val close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) : Tot (bare_parser t)
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) : Tot (bare_parser t) = fun x -> f (closure x) x
val close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) : Tot (bare_parser t) let close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) : Tot (bare_parser t) =
false
null
false
fun x -> f (closure x) x
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "total" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1)) let parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes { Seq.length input < fuel }) . parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) = no_lookahead_fuel_ext fuel f1 f2; injective_fuel_ext fuel f1 f2 let close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n })))
false
false
LowParse.Spec.Fuel.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 close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) : Tot (bare_parser t)
[]
LowParse.Spec.Fuel.close_by_fuel'
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
f: (_: Prims.nat -> LowParse.Spec.Base.bare_parser t) -> closure: (b: LowParse.Bytes.bytes -> Prims.GTot (n: Prims.nat{FStar.Seq.Base.length b < n})) -> LowParse.Spec.Base.bare_parser t
{ "end_col": 26, "end_line": 206, "start_col": 2, "start_line": 206 }
Prims.GTot
val consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len )
val consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 =
false
null
false
forall (b: bytes{Seq.length b < fuel}). {:pattern (parse p b)} Some? (parse p b) ==> (let Some (_, len) = parse p b in Seq.length b == len)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.l_imp", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.eq2", "Prims.logical", "FStar.Pervasives.Native.option" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t)
false
false
LowParse.Spec.Fuel.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 consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.consumes_all_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> p: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 3, "end_line": 26, "start_col": 2, "start_line": 23 }
Prims.GTot
val parses_at_most_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) )
val parses_at_most_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 let parses_at_most_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
forall (s: bytes{Seq.length s < fuel}). {:pattern (parse f s)} Some? (parse f s) ==> (let _, consumed = Some?.v (parse f s) in sz >= (consumed <: nat))
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.l_imp", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.op_GreaterThanOrEqual", "Prims.logical", "FStar.Pervasives.Native.__proj__Some__item__v" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t)
false
false
LowParse.Spec.Fuel.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 parses_at_most_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parses_at_most_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> sz: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 3, "end_line": 57, "start_col": 2, "start_line": 53 }
Prims.GTot
val parses_at_least_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) )
val parses_at_least_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 let parses_at_least_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
forall (s: bytes{Seq.length s < fuel}). {:pattern (parse f s)} Some? (parse f s) ==> (let _, consumed = Some?.v (parse f s) in sz <= (consumed <: nat))
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.l_imp", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.op_LessThanOrEqual", "Prims.logical", "FStar.Pervasives.Native.__proj__Some__item__v" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t)
false
false
LowParse.Spec.Fuel.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 parses_at_least_fuel (fuel sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parses_at_least_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> sz: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 3, "end_line": 45, "start_col": 2, "start_line": 41 }
Prims.GTot
val parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f
val parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 =
false
null
false
match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.parser_subkind", "LowParse.Spec.Base.bare_parser", "LowParse.Spec.Fuel.no_lookahead_fuel", "LowParse.Spec.Fuel.consumes_all_fuel" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len )
false
false
LowParse.Spec.Fuel.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 parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parser_subkind_prop_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> k: LowParse.Spec.Base.parser_subkind -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 28, "end_line": 33, "start_col": 2, "start_line": 29 }
Prims.GTot
val parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f
val parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 =
false
null
false
match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "sometrivial" ]
[ "Prims.nat", "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_metadata", "Prims.l_True", "Prims.l_imp", "Prims.eq2", "FStar.Pervasives.Native.option", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_high", "FStar.Pervasives.Native.Some", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_low", "LowParse.Spec.Fuel.is_total_constant_size_parser_fuel", "LowParse.Spec.Fuel.parser_always_fails_fuel" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None
false
false
LowParse.Spec.Fuel.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 parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0
[]
LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> Prims.GTot Type0
{ "end_col": 66, "end_line": 75, "start_col": 2, "start_line": 72 }
FStar.Pervasives.Lemma
val parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f)
val parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) =
false
null
true
assert (forall x. Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims._assert", "Prims.l_Forall", "FStar.Seq.Base.seq", "LowParse.Bytes.byte", "Prims.l_imp", "Prims.b2t", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "LowParse.Spec.Fuel.parses_at_most_fuel", "Prims.op_Addition", "FStar.Seq.Base.length", "Prims.unit", "Prims.squash", "LowParse.Spec.Base.parses_at_most", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f))
false
false
LowParse.Spec.Fuel.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 parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f))
[]
LowParse.Spec.Fuel.parses_at_most_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
sz: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.parses_at_most_fuel fuel sz f) (ensures LowParse.Spec.Base.parses_at_most sz f)
{ "end_col": 87, "end_line": 115, "start_col": 2, "start_line": 115 }
FStar.Pervasives.Lemma
val parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f)
val parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) =
false
null
true
assert (forall x. let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "Prims._assert", "Prims.l_Forall", "FStar.Seq.Base.seq", "LowParse.Bytes.byte", "LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel", "Prims.op_Addition", "FStar.Seq.Base.length", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.unit", "Prims.nat", "Prims.squash", "LowParse.Spec.Base.parser_kind_metadata_prop", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f))
false
false
LowParse.Spec.Fuel.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 parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f))
[]
LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel fuel k f ) (ensures LowParse.Spec.Base.parser_kind_metadata_prop k f)
{ "end_col": 99, "end_line": 130, "start_col": 2, "start_line": 130 }
FStar.Pervasives.Lemma
val parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f)
val parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) =
false
null
true
assert (forall x. Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "Prims._assert", "Prims.l_Forall", "FStar.Seq.Base.seq", "LowParse.Bytes.byte", "Prims.l_imp", "Prims.b2t", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "LowParse.Spec.Fuel.parses_at_least_fuel", "Prims.op_Addition", "FStar.Seq.Base.length", "Prims.unit", "Prims.squash", "LowParse.Spec.Base.parses_at_least", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f))
false
false
LowParse.Spec.Fuel.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 parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f))
[]
LowParse.Spec.Fuel.parses_at_least_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
sz: Prims.nat -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.parses_at_least_fuel fuel sz f) (ensures LowParse.Spec.Base.parses_at_least sz f)
{ "end_col": 88, "end_line": 106, "start_col": 2, "start_line": 106 }
Prims.Tot
val close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: (b: bytes -> Tot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) : Tot (parser k t)
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: ((b: bytes) -> Tot (n: nat { Seq.length b < n }))) (f_ext: ( (fuel: nat) -> (b: bytes { Seq.length b < fuel }) -> Lemma (f fuel b == f (closure b) b) )) : Tot (parser k t) = close_by_fuel_correct k f closure f_ext (fun fuel -> parser_kind_prop_equiv k (f fuel)); close_by_fuel' f closure
val close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: (b: bytes -> Tot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) : Tot (parser k t) let close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: (b: bytes -> Tot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) : Tot (parser k t) =
false
null
false
close_by_fuel_correct k f closure f_ext (fun fuel -> parser_kind_prop_equiv k (f fuel)); close_by_fuel' f closure
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "total" ]
[ "LowParse.Spec.Base.parser_kind", "Prims.nat", "LowParse.Spec.Base.parser", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "Prims.Nil", "FStar.Pervasives.pattern", "LowParse.Spec.Fuel.close_by_fuel'", "LowParse.Spec.Fuel.close_by_fuel_correct", "LowParse.Spec.Base.parser_kind_prop_equiv" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1)) let parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes { Seq.length input < fuel }) . parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) = no_lookahead_fuel_ext fuel f1 f2; injective_fuel_ext fuel f1 f2 let close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) : Tot (bare_parser t) = fun x -> f (closure x) x let close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) (f_ext: ( (fuel: nat) -> (b: bytes { Seq.length b < fuel }) -> Lemma (f fuel b == f (closure b) b) )) (f_prop: ( (fuel: nat) -> Lemma (parser_kind_prop_fuel fuel k (f fuel)) )) : Lemma (parser_kind_prop k (close_by_fuel' f closure)) = let prf (fuel: nat) : Lemma (parser_kind_prop_fuel fuel k (close_by_fuel' f closure)) = f_prop fuel; let g (b: bytes { Seq.length b < fuel }) : Lemma (parse (close_by_fuel' f closure) b == parse (f fuel) b) = f_ext fuel b in Classical.forall_intro g; parser_kind_prop_fuel_ext fuel k (close_by_fuel' f closure) (f fuel) in Classical.forall_intro prf; parser_kind_prop_fuel_correct k (close_by_fuel' f closure); parser_kind_prop_equiv k (close_by_fuel' f closure) let close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: ((b: bytes) -> Tot (n: nat { Seq.length b < n }))) (f_ext: ( (fuel: nat) -> (b: bytes { Seq.length b < fuel }) -> Lemma (f fuel b == f (closure b) b) ))
false
false
LowParse.Spec.Fuel.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 close_by_fuel (#k: parser_kind) (#t: Type) (f: (nat -> Tot (parser k t))) (closure: (b: bytes -> Tot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) : Tot (parser k t)
[]
LowParse.Spec.Fuel.close_by_fuel
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
f: (_: Prims.nat -> LowParse.Spec.Base.parser k t) -> closure: (b: LowParse.Bytes.bytes -> n: Prims.nat{FStar.Seq.Base.length b < n}) -> f_ext: (fuel: Prims.nat -> b: LowParse.Bytes.bytes{FStar.Seq.Base.length b < fuel} -> FStar.Pervasives.Lemma (ensures f fuel b == f (closure b) b)) -> LowParse.Spec.Base.parser k t
{ "end_col": 26, "end_line": 257, "start_col": 2, "start_line": 256 }
FStar.Pervasives.Lemma
val parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f)
val parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) =
false
null
true
assert (forall x y. no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x. Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.parser_subkind", "LowParse.Spec.Base.bare_parser", "Prims._assert", "Prims.l_Forall", "FStar.Seq.Base.seq", "LowParse.Bytes.byte", "Prims.l_imp", "Prims.b2t", "FStar.Pervasives.Native.uu___is_Some", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "LowParse.Spec.Fuel.parser_subkind_prop_fuel", "Prims.op_Addition", "FStar.Seq.Base.length", "Prims.unit", "LowParse.Spec.Base.no_lookahead_on_precond", "Prims.nat", "Prims.squash", "LowParse.Spec.Base.parser_subkind_prop", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f))
false
false
LowParse.Spec.Fuel.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 parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f))
[]
LowParse.Spec.Fuel.parser_subkind_prop_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
k: LowParse.Spec.Base.parser_subkind -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.parser_subkind_prop_fuel fuel k f) (ensures LowParse.Spec.Base.parser_subkind_prop k f)
{ "end_col": 91, "end_line": 123, "start_col": 2, "start_line": 122 }
FStar.Pervasives.Lemma
val parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f
val parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) =
false
null
true
parser_kind_prop_equiv k f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "LowParse.Spec.Base.parser_kind_prop_equiv", "Prims.unit", "LowParse.Spec.Base.parser_kind_prop", "Prims.squash", "LowParse.Spec.Fuel.parser_kind_prop_fuel", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f))
false
false
LowParse.Spec.Fuel.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 parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f))
[]
LowParse.Spec.Fuel.parser_kind_prop_fuel_complete
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires LowParse.Spec.Base.parser_kind_prop k f) (ensures LowParse.Spec.Fuel.parser_kind_prop_fuel fuel k f)
{ "end_col": 28, "end_line": 161, "start_col": 2, "start_line": 161 }
FStar.Pervasives.Lemma
val no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1))
val no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1)) let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1)) =
false
null
true
Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1))
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "FStar.Classical.forall_intro_2", "LowParse.Bytes.bytes", "Prims.l_imp", "Prims.l_and", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.l_iff", "LowParse.Spec.Base.no_lookahead_on", "FStar.Classical.move_requires", "LowParse.Spec.Base.no_lookahead_on_ext", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern", "Prims.l_Forall", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "LowParse.Spec.Fuel.no_lookahead_fuel" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1
false
false
LowParse.Spec.Fuel.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_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1))
[]
LowParse.Spec.Fuel.no_lookahead_fuel_ext
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> p1: LowParse.Spec.Base.bare_parser t -> p2: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (b: LowParse.Bytes.bytes{FStar.Seq.Base.length b < fuel}). LowParse.Spec.Base.parse p2 b == LowParse.Spec.Base.parse p1 b) (ensures LowParse.Spec.Fuel.no_lookahead_fuel fuel p2 <==> LowParse.Spec.Fuel.no_lookahead_fuel fuel p1)
{ "end_col": 93, "end_line": 174, "start_col": 2, "start_line": 174 }
FStar.Pervasives.Lemma
val injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. injective_fuel fuel f)) (ensures (injective f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f)
val injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. injective_fuel fuel f)) (ensures (injective f)) let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. injective_fuel fuel f)) (ensures (injective f)) =
false
null
true
assert (forall x y. injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.bare_parser", "Prims._assert", "Prims.l_Forall", "FStar.Seq.Base.seq", "LowParse.Bytes.byte", "Prims.l_imp", "LowParse.Spec.Base.injective_precond", "LowParse.Spec.Fuel.injective_fuel", "Prims.op_Addition", "FStar.Seq.Base.length", "Prims.unit", "Prims.nat", "Prims.squash", "LowParse.Spec.Base.injective", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f))
false
false
LowParse.Spec.Fuel.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 injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel. injective_fuel fuel f)) (ensures (injective f))
[]
LowParse.Spec.Fuel.injective_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.injective_fuel fuel f) (ensures LowParse.Spec.Base.injective f)
{ "end_col": 102, "end_line": 97, "start_col": 2, "start_line": 97 }
FStar.Pervasives.Lemma
val parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f
val parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) =
false
null
true
injective_fuel_correct f; (match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f); parses_at_least_fuel_correct k.parser_kind_low f; (match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f); parser_kind_metadata_prop_fuel_correct k f
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "LowParse.Spec.Fuel.parser_kind_metadata_prop_fuel_correct", "Prims.unit", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_high", "Prims.nat", "LowParse.Spec.Fuel.parses_at_most_fuel_correct", "LowParse.Spec.Fuel.parses_at_least_fuel_correct", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_low", "LowParse.Spec.Base.__proj__Mkparser_kind'__item__parser_kind_subkind", "LowParse.Spec.Base.parser_subkind", "LowParse.Spec.Fuel.parser_subkind_prop_fuel_correct", "LowParse.Spec.Fuel.injective_fuel_correct", "Prims.l_Forall", "LowParse.Spec.Fuel.parser_kind_prop_fuel", "Prims.squash", "LowParse.Spec.Fuel.parser_kind_prop'", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f))
false
false
LowParse.Spec.Fuel.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 parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel. parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f))
[]
LowParse.Spec.Fuel.parser_kind_prop_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
k: LowParse.Spec.Base.parser_kind -> f: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (fuel: Prims.nat). LowParse.Spec.Fuel.parser_kind_prop_fuel fuel k f) (ensures LowParse.Spec.Fuel.parser_kind_prop' k f)
{ "end_col": 44, "end_line": 147, "start_col": 2, "start_line": 137 }
FStar.Pervasives.Lemma
val close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) (f_prop: (fuel: nat -> Lemma (parser_kind_prop_fuel fuel k (f fuel)))) : Lemma (parser_kind_prop k (close_by_fuel' f closure))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) (f_ext: ( (fuel: nat) -> (b: bytes { Seq.length b < fuel }) -> Lemma (f fuel b == f (closure b) b) )) (f_prop: ( (fuel: nat) -> Lemma (parser_kind_prop_fuel fuel k (f fuel)) )) : Lemma (parser_kind_prop k (close_by_fuel' f closure)) = let prf (fuel: nat) : Lemma (parser_kind_prop_fuel fuel k (close_by_fuel' f closure)) = f_prop fuel; let g (b: bytes { Seq.length b < fuel }) : Lemma (parse (close_by_fuel' f closure) b == parse (f fuel) b) = f_ext fuel b in Classical.forall_intro g; parser_kind_prop_fuel_ext fuel k (close_by_fuel' f closure) (f fuel) in Classical.forall_intro prf; parser_kind_prop_fuel_correct k (close_by_fuel' f closure); parser_kind_prop_equiv k (close_by_fuel' f closure)
val close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) (f_prop: (fuel: nat -> Lemma (parser_kind_prop_fuel fuel k (f fuel)))) : Lemma (parser_kind_prop k (close_by_fuel' f closure)) let close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) (f_prop: (fuel: nat -> Lemma (parser_kind_prop_fuel fuel k (f fuel)))) : Lemma (parser_kind_prop k (close_by_fuel' f closure)) =
false
null
true
let prf (fuel: nat) : Lemma (parser_kind_prop_fuel fuel k (close_by_fuel' f closure)) = f_prop fuel; let g (b: bytes{Seq.length b < fuel}) : Lemma (parse (close_by_fuel' f closure) b == parse (f fuel) b) = f_ext fuel b in Classical.forall_intro g; parser_kind_prop_fuel_ext fuel k (close_by_fuel' f closure) (f fuel) in Classical.forall_intro prf; parser_kind_prop_fuel_correct k (close_by_fuel' f closure); parser_kind_prop_equiv k (close_by_fuel' f closure)
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "LowParse.Spec.Base.parser_kind", "Prims.nat", "LowParse.Spec.Base.bare_parser", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "Prims.Nil", "FStar.Pervasives.pattern", "LowParse.Spec.Fuel.parser_kind_prop_fuel", "LowParse.Spec.Base.parser_kind_prop_equiv", "LowParse.Spec.Fuel.close_by_fuel'", "LowParse.Spec.Fuel.parser_kind_prop_fuel_correct", "FStar.Classical.forall_intro", "LowParse.Spec.Fuel.parser_kind_prop_fuel_ext", "LowParse.Spec.Base.parse", "LowParse.Spec.Base.parser_kind_prop" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1)) let parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes { Seq.length input < fuel }) . parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) = no_lookahead_fuel_ext fuel f1 f2; injective_fuel_ext fuel f1 f2 let close_by_fuel' (#t: Type) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) : Tot (bare_parser t) = fun x -> f (closure x) x let close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: ((b: bytes) -> GTot (n: nat { Seq.length b < n }))) (f_ext: ( (fuel: nat) -> (b: bytes { Seq.length b < fuel }) -> Lemma (f fuel b == f (closure b) b) )) (f_prop: ( (fuel: nat) -> Lemma (parser_kind_prop_fuel fuel k (f fuel)) )) : Lemma
false
false
LowParse.Spec.Fuel.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 close_by_fuel_correct (#t: Type) (k: parser_kind) (f: (nat -> Tot (bare_parser t))) (closure: (b: bytes -> GTot (n: nat{Seq.length b < n}))) (f_ext: (fuel: nat -> b: bytes{Seq.length b < fuel} -> Lemma (f fuel b == f (closure b) b))) (f_prop: (fuel: nat -> Lemma (parser_kind_prop_fuel fuel k (f fuel)))) : Lemma (parser_kind_prop k (close_by_fuel' f closure))
[]
LowParse.Spec.Fuel.close_by_fuel_correct
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
k: LowParse.Spec.Base.parser_kind -> f: (_: Prims.nat -> LowParse.Spec.Base.bare_parser t) -> closure: (b: LowParse.Bytes.bytes -> Prims.GTot (n: Prims.nat{FStar.Seq.Base.length b < n})) -> f_ext: (fuel: Prims.nat -> b: LowParse.Bytes.bytes{FStar.Seq.Base.length b < fuel} -> FStar.Pervasives.Lemma (ensures f fuel b == f (closure b) b)) -> f_prop: (fuel: Prims.nat -> FStar.Pervasives.Lemma (ensures LowParse.Spec.Fuel.parser_kind_prop_fuel fuel k (f fuel))) -> FStar.Pervasives.Lemma (ensures LowParse.Spec.Base.parser_kind_prop k (LowParse.Spec.Fuel.close_by_fuel' f closure))
{ "end_col": 53, "end_line": 242, "start_col": 1, "start_line": 226 }
FStar.Pervasives.Lemma
val injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (injective_fuel fuel p2 <==> injective_fuel fuel p1))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1))
val injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (injective_fuel fuel p2 <==> injective_fuel fuel p1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (injective_fuel fuel p2 <==> injective_fuel fuel p1)) =
false
null
true
Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1))
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.bare_parser", "FStar.Classical.forall_intro_2", "LowParse.Bytes.bytes", "Prims.l_imp", "Prims.l_and", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.l_iff", "LowParse.Spec.Base.injective_postcond", "FStar.Classical.move_requires", "LowParse.Spec.Base.injective_postcond_ext", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern", "LowParse.Spec.Base.injective_precond", "LowParse.Spec.Base.injective_precond_ext", "Prims.l_Forall", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "LowParse.Spec.Fuel.injective_fuel" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1
false
false
LowParse.Spec.Fuel.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 injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires (forall (b: bytes{Seq.length b < fuel}). parse p2 b == parse p1 b)) (ensures (injective_fuel fuel p2 <==> injective_fuel fuel p1))
[]
LowParse.Spec.Fuel.injective_fuel_ext
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> p1: LowParse.Spec.Base.bare_parser t -> p2: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (b: LowParse.Bytes.bytes{FStar.Seq.Base.length b < fuel}). LowParse.Spec.Base.parse p2 b == LowParse.Spec.Base.parse p1 b) (ensures LowParse.Spec.Fuel.injective_fuel fuel p2 <==> LowParse.Spec.Fuel.injective_fuel fuel p1)
{ "end_col": 96, "end_line": 188, "start_col": 2, "start_line": 187 }
FStar.Pervasives.Lemma
val parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes{Seq.length input < fuel}). parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2))
[ { "abbrev": true, "full_module": "FStar.Seq", "short_module": "Seq" }, { "abbrev": false, "full_module": "LowParse.Spec.Base", "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 parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes { Seq.length input < fuel }) . parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) = no_lookahead_fuel_ext fuel f1 f2; injective_fuel_ext fuel f1 f2
val parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes{Seq.length input < fuel}). parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) let parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes{Seq.length input < fuel}). parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2)) =
false
null
true
no_lookahead_fuel_ext fuel f1 f2; injective_fuel_ext fuel f1 f2
{ "checked_file": "LowParse.Spec.Fuel.fst.checked", "dependencies": [ "prims.fst.checked", "LowParse.Spec.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": false, "source_file": "LowParse.Spec.Fuel.fst" }
[ "lemma" ]
[ "Prims.nat", "LowParse.Spec.Base.parser_kind", "LowParse.Spec.Base.bare_parser", "LowParse.Spec.Fuel.injective_fuel_ext", "Prims.unit", "LowParse.Spec.Fuel.no_lookahead_fuel_ext", "Prims.l_Forall", "LowParse.Bytes.bytes", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "LowParse.Bytes.byte", "Prims.eq2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.tuple2", "LowParse.Spec.Base.consumed_length", "LowParse.Spec.Base.parse", "Prims.squash", "Prims.l_iff", "LowParse.Spec.Fuel.parser_kind_prop_fuel", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
module LowParse.Spec.Fuel include LowParse.Spec.Base module Seq = FStar.Seq let injective_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b1 b2: bytes) . {:pattern (injective_precond p b1 b2) \/ (injective_postcond p b1 b2)} (injective_precond p b1 b2 /\ Seq.length b1 < fuel /\ Seq.length b2 < fuel) ==> injective_postcond p b1 b2 let no_lookahead_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (x x' : bytes) . {:pattern (no_lookahead_on_precond f x x') \/ (no_lookahead_on_postcond f x x')} (Seq.length x < fuel /\ Seq.length x' < fuel) ==> no_lookahead_on f x x' let consumes_all_fuel (fuel: nat) (#t: Type) (p: bare_parser t) : GTot Type0 = forall (b: bytes { Seq.length b < fuel }) . {:pattern (parse p b)} Some? (parse p b) ==> ( let (Some (_, len)) = parse p b in Seq.length b == len ) let parser_subkind_prop_fuel (fuel: nat) (k: parser_subkind) (#t: Type) (f: bare_parser t) : GTot Type0 = match k with | ParserStrong -> no_lookahead_fuel fuel f | ParserConsumesAll -> consumes_all_fuel fuel f let parses_at_least_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz <= (consumed <: nat) ) let parses_at_most_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s)} Some? (parse f s) ==> ( let (_, consumed) = Some?.v (parse f s) in sz >= (consumed <: nat) ) let is_total_constant_size_parser_fuel (fuel: nat) (sz: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (s: bytes { Seq.length s < fuel }) . {:pattern (parse f s) } (Seq.length s < sz) == (None? (parse f s)) let parser_always_fails_fuel (fuel: nat) (#t: Type) (f: bare_parser t) : GTot Type0 = forall (input: bytes { Seq.length input < fuel }) . {:pattern (parse f input)} parse f input == None let parser_kind_metadata_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = match k.parser_kind_metadata with | None -> True | Some ParserKindMetadataTotal -> k.parser_kind_high == Some k.parser_kind_low ==> is_total_constant_size_parser_fuel fuel k.parser_kind_low f | Some ParserKindMetadataFail -> parser_always_fails_fuel fuel f let parser_kind_prop_fuel (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective_fuel fuel f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop_fuel fuel (Some?.v k.parser_kind_subkind) f) /\ parses_at_least_fuel fuel k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most_fuel fuel (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop_fuel fuel k f unfold let parser_kind_prop' (#t: Type) (k: parser_kind) (f: bare_parser t) : GTot Type0 = injective f /\ (Some? k.parser_kind_subkind ==> parser_subkind_prop (Some?.v k.parser_kind_subkind) f) /\ parses_at_least k.parser_kind_low f /\ (Some? k.parser_kind_high ==> (parses_at_most (Some?.v k.parser_kind_high) f)) /\ parser_kind_metadata_prop k f let injective_fuel_correct (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . injective_fuel fuel f)) (ensures (injective f)) = assert (forall x y . injective_precond f x y ==> injective_fuel (Seq.length x + Seq.length y + 1) f) let parses_at_least_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_least_fuel fuel sz f)) (ensures (parses_at_least sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_least_fuel (Seq.length x + 1) sz f) let parses_at_most_fuel_correct (sz: nat) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parses_at_most_fuel fuel sz f)) (ensures (parses_at_most sz f)) = assert (forall x . Some? (parse f x) ==> parses_at_most_fuel (Seq.length x + 1) sz f) let parser_subkind_prop_fuel_correct (k: parser_subkind) (#t: Type) (f: bare_parser t) : Lemma (requires (forall fuel . parser_subkind_prop_fuel fuel k f)) (ensures (parser_subkind_prop k f)) = assert (forall x y . no_lookahead_on_precond f x y ==> parser_subkind_prop_fuel (Seq.length x + Seq.length y + 1) k f); assert (forall x . Some? (parse f x) ==> parser_subkind_prop_fuel (Seq.length x + 1) k f) let parser_kind_metadata_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_metadata_prop_fuel fuel k f)) (ensures (parser_kind_metadata_prop k f)) = assert (forall x . let p = (parse f x) in parser_kind_metadata_prop_fuel (Seq.length x + 1) k f) let parser_kind_prop_fuel_correct (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (forall fuel . parser_kind_prop_fuel fuel k f)) (ensures (parser_kind_prop' k f)) = injective_fuel_correct f; begin match k.parser_kind_subkind with | None -> () | Some k' -> parser_subkind_prop_fuel_correct k' f end; parses_at_least_fuel_correct k.parser_kind_low f; begin match k.parser_kind_high with | None -> () | Some max -> parses_at_most_fuel_correct max f end; parser_kind_metadata_prop_fuel_correct k f let parser_kind_prop_fuel_complete' (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop' k f)) (ensures (parser_kind_prop_fuel fuel k f)) = () let parser_kind_prop_fuel_complete (fuel: nat) (#t: Type) (k: parser_kind) (f: bare_parser t) : Lemma (requires (parser_kind_prop k f)) (ensures (parser_kind_prop_fuel fuel k f)) = parser_kind_prop_equiv k f let no_lookahead_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( no_lookahead_fuel fuel p2 <==> no_lookahead_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (no_lookahead_on_ext p1 p2 b1)) let injective_fuel_ext (fuel: nat) (#t: Type) (p1 p2: bare_parser t) : Lemma (requires ( forall (b: bytes { Seq.length b < fuel }) . parse p2 b == parse p1 b )) (ensures ( injective_fuel fuel p2 <==> injective_fuel fuel p1 )) = Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_precond_ext p1 p2 b1)); Classical.forall_intro_2 (fun b1 -> Classical.move_requires (injective_postcond_ext p1 p2 b1)) let parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes { Seq.length input < fuel }) . parse f1 input == parse f2 input))
false
false
LowParse.Spec.Fuel.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 parser_kind_prop_fuel_ext (fuel: nat) (#t: Type) (k: parser_kind) (f1 f2: bare_parser t) : Lemma (requires (forall (input: bytes{Seq.length input < fuel}). parse f1 input == parse f2 input)) (ensures (parser_kind_prop_fuel fuel k f1 <==> parser_kind_prop_fuel fuel k f2))
[]
LowParse.Spec.Fuel.parser_kind_prop_fuel_ext
{ "file_name": "src/lowparse/LowParse.Spec.Fuel.fst", "git_rev": "446a08ce38df905547cf20f28c43776b22b8087a", "git_url": "https://github.com/project-everest/everparse.git", "project_name": "everparse" }
fuel: Prims.nat -> k: LowParse.Spec.Base.parser_kind -> f1: LowParse.Spec.Base.bare_parser t -> f2: LowParse.Spec.Base.bare_parser t -> FStar.Pervasives.Lemma (requires forall (input: LowParse.Bytes.bytes{FStar.Seq.Base.length input < fuel}). LowParse.Spec.Base.parse f1 input == LowParse.Spec.Base.parse f2 input) (ensures LowParse.Spec.Fuel.parser_kind_prop_fuel fuel k f1 <==> LowParse.Spec.Fuel.parser_kind_prop_fuel fuel k f2)
{ "end_col": 31, "end_line": 199, "start_col": 2, "start_line": 198 }
Prims.GTot
val withlocalarray_soundness (#g:stt_env) (#t:st_term) (#c:comp) (d:st_typing g t c{T_WithLocalArray? d}) (soundness:soundness_t d) : GTot (RT.tot_typing (elab_env g) (elab_st_typing d) (elab_comp c))
[ { "abbrev": true, "full_module": "Pulse.Steel.Wrapper.Typing", "short_module": "WT" }, { "abbrev": false, "full_module": "Pulse.Soundness.Common", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Elaborate", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Elaborate.Core", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Reflection.Util", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": true, "full_module": "FStar.Reflection.Typing", "short_module": "RT" }, { "abbrev": false, "full_module": "Pulse.Soundness.Common", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Elaborate.Core", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Elaborate.Pure", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Soundness", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Soundness", "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 withlocalarray_soundness #g #t #c d soundness = let T_WithLocalArray _ init len body init_t c x init_typing len_typing init_t_typing c_typing body_typing = d in let CT_ST _ st st_typing = c_typing in let rg = elab_env g in let ru = comp_u c in let ra = elab_term init_t in let rinit = elab_term init in let rlen = elab_term len in let rpre = elab_term (comp_pre c) in let rret_t = elab_term (comp_res c) in let rpost = elab_term (comp_post c) in let rbody = elab_st_typing body_typing in let a_typing = tot_typing_soundness init_t_typing in let rinit_typing = tot_typing_soundness init_typing in let rlen_typing = tot_typing_soundness len_typing in let cres_typing, cpre_typing, cpost_typing = Pulse.Soundness.Comp.stc_soundness st_typing in let pre_typing = cpre_typing in let ret_t_typing = cres_typing in let post_typing = cpost_typing in elab_push_binding g x (mk_array init_t); let rbody_typing = soundness _ _ _ body_typing in WT.with_localarray_typing #rg #ru #ra #rinit #rlen #rpre #rret_t #rpost #rbody x a_typing rinit_typing rlen_typing pre_typing ret_t_typing post_typing rbody_typing
val withlocalarray_soundness (#g:stt_env) (#t:st_term) (#c:comp) (d:st_typing g t c{T_WithLocalArray? d}) (soundness:soundness_t d) : GTot (RT.tot_typing (elab_env g) (elab_st_typing d) (elab_comp c)) let withlocalarray_soundness #g #t #c d soundness =
false
null
false
let T_WithLocalArray _ init len body init_t c x init_typing len_typing init_t_typing c_typing body_typing = d in let CT_ST _ st st_typing = c_typing in let rg = elab_env g in let ru = comp_u c in let ra = elab_term init_t in let rinit = elab_term init in let rlen = elab_term len in let rpre = elab_term (comp_pre c) in let rret_t = elab_term (comp_res c) in let rpost = elab_term (comp_post c) in let rbody = elab_st_typing body_typing in let a_typing = tot_typing_soundness init_t_typing in let rinit_typing = tot_typing_soundness init_typing in let rlen_typing = tot_typing_soundness len_typing in let cres_typing, cpre_typing, cpost_typing = Pulse.Soundness.Comp.stc_soundness st_typing in let pre_typing = cpre_typing in let ret_t_typing = cres_typing in let post_typing = cpost_typing in elab_push_binding g x (mk_array init_t); let rbody_typing = soundness _ _ _ body_typing in WT.with_localarray_typing #rg #ru #ra #rinit #rlen #rpre #rret_t #rpost #rbody x a_typing rinit_typing rlen_typing pre_typing ret_t_typing post_typing rbody_typing
{ "checked_file": "Pulse.Soundness.WithLocalArray.fst.checked", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "Pulse.Steel.Wrapper.Typing.fsti.checked", "Pulse.Soundness.Comp.fsti.checked", "Pulse.Soundness.Common.fst.checked", "Pulse.Reflection.Util.fst.checked", "Pulse.Elaborate.Core.fst.checked", "Pulse.Elaborate.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Pulse.Soundness.WithLocalArray.fst" }
[ "sometrivial" ]
[ "Pulse.Soundness.Common.stt_env", "Pulse.Syntax.Base.st_term", "Pulse.Syntax.Base.comp", "Pulse.Typing.st_typing", "Prims.b2t", "Pulse.Typing.uu___is_T_WithLocalArray", "Pulse.Soundness.Common.soundness_t", "Pulse.Typing.Env.env", "Pulse.Syntax.Base.term", "Pulse.Syntax.Base.uu___is_C_ST", "Pulse.Syntax.Base.var", "Prims.l_and", "FStar.Pervasives.Native.uu___is_None", "Pulse.Syntax.Base.typ", "Pulse.Typing.Env.lookup", "Prims.l_not", "FStar.Set.mem", "Pulse.Syntax.Naming.freevars_st", "Pulse.Typing.tot_typing", "Pulse.Typing.tm_szt", "Pulse.Typing.universe_of", "Pulse.Syntax.Pure.u0", "Pulse.Typing.comp_typing", "Pulse.Syntax.Base.comp_u", "Pulse.Typing.Env.push_binding", "Pulse.Syntax.Base.ppname_default", "Pulse.Typing.mk_array", "Pulse.Syntax.Naming.open_st_term_nv", "Pulse.Syntax.Base.v_as_nv", "Pulse.Typing.comp_withlocal_array_body", "Pulse.Syntax.Base.st_comp", "Pulse.Typing.st_comp_typing", "FStar.Reflection.Typing.tot_typing", "Pulse.Typing.elab_env", "Pulse.Elaborate.Pure.elab_term", "Pulse.Syntax.Base.__proj__Mkst_comp__item__res", "FStar.Reflection.Typing.tm_type", "Pulse.Syntax.Base.__proj__Mkst_comp__item__u", "Pulse.Syntax.Base.__proj__Mkst_comp__item__pre", "Pulse.Reflection.Util.vprop_tm", "Pulse.Reflection.Util.mk_abs", "FStar.Reflection.V2.Data.Q_Explicit", "Pulse.Syntax.Base.__proj__Mkst_comp__item__post", "Pulse.Soundness.Common.post1_type_bind", "Pulse.Steel.Wrapper.Typing.with_localarray_typing", "Pulse.Elaborate.Core.elab_st_typing", "Pulse.Elaborate.Pure.elab_comp", "Prims.unit", "Pulse.Typing.elab_push_binding", "FStar.Pervasives.Native.tuple3", "Pulse.Soundness.Comp.stc_soundness", "Pulse.Soundness.Common.tot_typing_soundness", "Pulse.Syntax.Pure.tm_type", "FStar.Reflection.Types.term", "Pulse.Syntax.Base.comp_post", "Pulse.Syntax.Base.comp_res", "Pulse.Syntax.Base.comp_pre", "Pulse.Syntax.Base.universe", "FStar.Reflection.Types.env" ]
[]
module Pulse.Soundness.WithLocalArray open Pulse.Syntax open Pulse.Reflection.Util open Pulse.Typing open Pulse.Elaborate.Core open Pulse.Elaborate open Pulse.Soundness.Common module WT = Pulse.Steel.Wrapper.Typing
false
false
Pulse.Soundness.WithLocalArray.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 8, "initial_ifuel": 1, "max_fuel": 8, "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": 5, "z3rlimit_factor": 10, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val withlocalarray_soundness (#g:stt_env) (#t:st_term) (#c:comp) (d:st_typing g t c{T_WithLocalArray? d}) (soundness:soundness_t d) : GTot (RT.tot_typing (elab_env g) (elab_st_typing d) (elab_comp c))
[]
Pulse.Soundness.WithLocalArray.withlocalarray_soundness
{ "file_name": "lib/steel/pulse/Pulse.Soundness.WithLocalArray.fst", "git_rev": "7fbb54e94dd4f48ff7cb867d3bae6889a635541e", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
d: Pulse.Typing.st_typing g t c {T_WithLocalArray? d} -> soundness: Pulse.Soundness.Common.soundness_t d -> Prims.GTot (FStar.Reflection.Typing.tot_typing (Pulse.Typing.elab_env g) (Pulse.Elaborate.Core.elab_st_typing d) (Pulse.Elaborate.Pure.elab_comp c))
{ "end_col": 16, "end_line": 57, "start_col": 51, "start_line": 13 }
FStar.Pervasives.Lemma
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def
let eval_rounds_reveal =
false
null
true
opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "lemma" ]
[ "Vale.Def.Opaque_s.opaque_revealer", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "Vale.AES.AES_s.eval_rounds", "Vale.AES.AES_s.eval_rounds_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n)
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_rounds_reveal : _: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.eval_rounds == Vale.AES.AES_s.eval_rounds_def)
[]
Vale.AES.AES_s.eval_rounds_reveal
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.eval_rounds == Vale.AES.AES_s.eval_rounds_def)
{ "end_col": 96, "end_line": 47, "start_col": 37, "start_line": 47 }
FStar.Pervasives.Lemma
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def
let expand_key_reveal =
false
null
true
opaque_revealer (`%expand_key) expand_key expand_key_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "lemma" ]
[ "Vale.Def.Opaque_s.opaque_revealer", "Vale.AES.AES_common_s.algorithm", "Vale.AES.AES_s.aes_key_LE", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Vale.AES.AES_common_s.nb", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Prims.eq2", "FStar.Seq.Base.length", "Vale.AES.AES_s.expand_key", "Vale.AES.AES_s.expand_key_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp))
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val expand_key_reveal : _: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.expand_key == Vale.AES.AES_s.expand_key_def)
[]
Vale.AES.AES_s.expand_key_reveal
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.expand_key == Vale.AES.AES_s.expand_key_def)
{ "end_col": 92, "end_line": 81, "start_col": 36, "start_line": 81 }
Prims.Tot
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_rounds = opaque_make eval_rounds_def
let eval_rounds =
false
null
false
opaque_make eval_rounds_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.Def.Opaque_s.opaque_make", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "Vale.AES.AES_s.eval_rounds_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_rounds : _: Vale.Def.Types_s.quad32 -> _: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> _: n: Prims.nat{n < FStar.Seq.Base.length _} -> Vale.Def.Types_s.quad32
[]
Vale.AES.AES_s.eval_rounds
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Vale.Def.Types_s.quad32 -> _: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> _: n: Prims.nat{n < FStar.Seq.Base.length _} -> Vale.Def.Types_s.quad32
{ "end_col": 64, "end_line": 46, "start_col": 37, "start_line": 46 }
FStar.Pervasives.Lemma
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def
let eval_cipher_reveal =
false
null
true
opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "lemma" ]
[ "Vale.Def.Opaque_s.opaque_revealer", "Vale.AES.AES_common_s.algorithm", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Prims.l_True", "Vale.AES.AES_s.eval_cipher", "Vale.AES.AES_s.eval_cipher_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_cipher_reveal : _: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.eval_cipher == Vale.AES.AES_s.eval_cipher_def)
[]
Vale.AES.AES_s.eval_cipher_reveal
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.eval_cipher == Vale.AES.AES_s.eval_cipher_def)
{ "end_col": 96, "end_line": 60, "start_col": 37, "start_line": 60 }
Prims.Tot
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s
let eval_round (state round_key: quad32) =
false
null
false
let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.Def.Types_s.quad32", "Vale.Def.Types_s.quad32_xor", "Vale.AES.AES_s.mix_columns_LE", "Vale.AES.AES_s.shift_rows_LE", "Vale.AES.AES_common_s.sub_bytes" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s}
false
true
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_round : state: Vale.Def.Types_s.quad32 -> round_key: Vale.Def.Types_s.quad32 -> Vale.Def.Types_s.quad32
[]
Vale.AES.AES_s.eval_round
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
state: Vale.Def.Types_s.quad32 -> round_key: Vale.Def.Types_s.quad32 -> Vale.Def.Types_s.quad32
{ "end_col": 3, "end_line": 39, "start_col": 41, "start_line": 34 }
Prims.Tot
val is_aes_key_LE (alg: algorithm) (s: seq nat32) : prop0
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg
val is_aes_key_LE (alg: algorithm) (s: seq nat32) : prop0 let is_aes_key_LE (alg: algorithm) (s: seq nat32) : prop0 =
false
null
false
length s == nk alg
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Vale.AES.AES_common_s.nk", "Vale.Def.Prop_s.prop0" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x))
false
true
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val is_aes_key_LE (alg: algorithm) (s: seq nat32) : prop0
[]
Vale.AES.AES_s.is_aes_key_LE
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> s: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 -> Vale.Def.Prop_s.prop0
{ "end_col": 76, "end_line": 31, "start_col": 58, "start_line": 31 }
Prims.Pure
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_cipher = opaque_make eval_cipher_def
let eval_cipher =
false
null
false
opaque_make eval_cipher_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[]
[ "Vale.Def.Opaque_s.opaque_make", "Vale.AES.AES_common_s.algorithm", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Prims.l_True", "Vale.AES.AES_s.eval_cipher_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_cipher : alg: Vale.AES.AES_common_s.algorithm -> input: Vale.Def.Types_s.quad32 -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
[]
Vale.AES.AES_s.eval_cipher
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input: Vale.Def.Types_s.quad32 -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
{ "end_col": 64, "end_line": 59, "start_col": 37, "start_line": 59 }
Prims.Tot
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 expand_key = opaque_make expand_key_def
let expand_key =
false
null
false
opaque_make expand_key_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.Def.Opaque_s.opaque_make", "Vale.AES.AES_common_s.algorithm", "Vale.AES.AES_s.aes_key_LE", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Vale.AES.AES_common_s.nb", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Prims.eq2", "FStar.Seq.Base.length", "Vale.AES.AES_s.expand_key_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val expand_key : _: Vale.AES.AES_common_s.algorithm -> _: Vale.AES.AES_s.aes_key_LE _ -> _: size: Prims.nat{size <= Vale.AES.AES_common_s.nb * (Vale.AES.AES_common_s.nr _ + 1)} -> ek_LE: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 {FStar.Seq.Base.length ek_LE == _}
[]
Vale.AES.AES_s.expand_key
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Vale.AES.AES_common_s.algorithm -> _: Vale.AES.AES_s.aes_key_LE _ -> _: size: Prims.nat{size <= Vale.AES.AES_common_s.nb * (Vale.AES.AES_common_s.nr _ + 1)} -> ek_LE: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 {FStar.Seq.Base.length ek_LE == _}
{ "end_col": 62, "end_line": 80, "start_col": 36, "start_line": 80 }
Prims.Pure
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 aes_encrypt_LE = opaque_make aes_encrypt_LE_def
let aes_encrypt_LE =
false
null
false
opaque_make aes_encrypt_LE_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[]
[ "Vale.Def.Opaque_s.opaque_make", "Vale.AES.AES_common_s.algorithm", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Vale.Def.Types_s.quad32", "Vale.AES.AES_s.is_aes_key_LE", "Prims.l_True", "Vale.AES.AES_s.aes_encrypt_LE_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1))) let aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) =
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val aes_encrypt_LE : alg: Vale.AES.AES_common_s.algorithm -> key: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 -> input_LE: Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
[]
Vale.AES.AES_s.aes_encrypt_LE
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 -> input_LE: Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
{ "end_col": 70, "end_line": 103, "start_col": 40, "start_line": 103 }
FStar.Pervasives.Lemma
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 aes_encrypt_LE_reveal = opaque_revealer (`%aes_encrypt_LE) aes_encrypt_LE aes_encrypt_LE_def
let aes_encrypt_LE_reveal =
false
null
true
opaque_revealer (`%aes_encrypt_LE) aes_encrypt_LE aes_encrypt_LE_def
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "lemma" ]
[ "Vale.Def.Opaque_s.opaque_revealer", "Vale.AES.AES_common_s.algorithm", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Vale.Def.Types_s.quad32", "Vale.AES.AES_s.is_aes_key_LE", "Prims.l_True", "Vale.AES.AES_s.aes_encrypt_LE", "Vale.AES.AES_s.aes_encrypt_LE_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1))) let aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) = eval_cipher_def alg input_LE (key_to_round_keys_LE alg key)
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val aes_encrypt_LE_reveal : _: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.aes_encrypt_LE == Vale.AES.AES_s.aes_encrypt_LE_def)
[]
Vale.AES.AES_s.aes_encrypt_LE_reveal
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.AES.AES_s.aes_encrypt_LE == Vale.AES.AES_s.aes_encrypt_LE_def)
{ "end_col": 108, "end_line": 104, "start_col": 40, "start_line": 104 }
Prims.Pure
val aes_encrypt_LE_def (alg: algorithm) (key: seq nat32) (input_LE: quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True)
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) = eval_cipher_def alg input_LE (key_to_round_keys_LE alg key)
val aes_encrypt_LE_def (alg: algorithm) (key: seq nat32) (input_LE: quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) let aes_encrypt_LE_def (alg: algorithm) (key: seq nat32) (input_LE: quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) =
false
null
false
eval_cipher_def alg input_LE (key_to_round_keys_LE alg key)
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[]
[ "Vale.AES.AES_common_s.algorithm", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Vale.Def.Types_s.quad32", "Vale.AES.AES_s.eval_cipher_def", "Vale.AES.AES_s.key_to_round_keys_LE", "Vale.AES.AES_s.is_aes_key_LE", "Prims.l_True" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1))) let aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True)
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val aes_encrypt_LE_def (alg: algorithm) (key: seq nat32) (input_LE: quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True)
[]
Vale.AES.AES_s.aes_encrypt_LE_def
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 -> input_LE: Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
{ "end_col": 61, "end_line": 102, "start_col": 2, "start_line": 102 }
Prims.Tot
val eval_rounds_def (init: quad32) (round_keys: seq quad32) (n: nat{n < length round_keys}) : quad32
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n)
val eval_rounds_def (init: quad32) (round_keys: seq quad32) (n: nat{n < length round_keys}) : quad32 let rec eval_rounds_def (init: quad32) (round_keys: seq quad32) (n: nat{n < length round_keys}) : quad32 =
false
null
false
if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n)
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "Prims.op_Equality", "Prims.int", "Prims.bool", "Vale.AES.AES_s.eval_round", "Vale.AES.AES_s.eval_rounds_def", "Prims.op_Subtraction", "FStar.Seq.Base.index" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_rounds_def (init: quad32) (round_keys: seq quad32) (n: nat{n < length round_keys}) : quad32
[ "recursion" ]
Vale.AES.AES_s.eval_rounds_def
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
init: Vale.Def.Types_s.quad32 -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> n: Prims.nat{n < FStar.Seq.Base.length round_keys} -> Vale.Def.Types_s.quad32
{ "end_col": 77, "end_line": 45, "start_col": 2, "start_line": 42 }
Prims.Pure
val key_to_round_keys_LE (alg: algorithm) (key: seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1)
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1)))
val key_to_round_keys_LE (alg: algorithm) (key: seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) let key_to_round_keys_LE (alg: algorithm) (key: seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) =
false
null
false
key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1)))
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[]
[ "Vale.AES.AES_common_s.algorithm", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Vale.AES.AES_s.key_schedule_to_round_keys", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Vale.AES.AES_s.expand_key", "FStar.Mul.op_Star", "Vale.AES.AES_common_s.nb", "Vale.Def.Types_s.quad32", "Vale.AES.AES_s.is_aes_key_LE", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1)
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val key_to_round_keys_LE (alg: algorithm) (key: seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1)
[]
Vale.AES.AES_s.key_to_round_keys_LE
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 -> Prims.Pure (FStar.Seq.Base.seq Vale.Def.Types_s.quad32)
{ "end_col": 82, "end_line": 96, "start_col": 2, "start_line": 96 }
Prims.Tot
val key_schedule_to_round_keys (rounds: nat) (w: seq nat32 {length w >= 4 * rounds}) : (round_keys: seq quad32 {length round_keys == rounds})
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk)
val key_schedule_to_round_keys (rounds: nat) (w: seq nat32 {length w >= 4 * rounds}) : (round_keys: seq quad32 {length round_keys == rounds}) let rec key_schedule_to_round_keys (rounds: nat) (w: seq nat32 {length w >= 4 * rounds}) : (round_keys: seq quad32 {length round_keys == rounds}) =
false
null
false
if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk)
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Prims.nat", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat32", "Prims.b2t", "Prims.op_GreaterThanOrEqual", "FStar.Seq.Base.length", "FStar.Mul.op_Star", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.empty", "Vale.Def.Types_s.quad32", "Prims.bool", "FStar.Seq.Base.append", "FStar.Seq.Base.create", "Vale.Def.Words_s.four", "Vale.Def.Words_s.nat32", "Vale.Def.Words_s.Mkfour", "FStar.Seq.Base.index", "Prims.op_Subtraction", "Prims.eq2", "Vale.AES.AES_s.key_schedule_to_round_keys" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds})
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val key_schedule_to_round_keys (rounds: nat) (w: seq nat32 {length w >= 4 * rounds}) : (round_keys: seq quad32 {length round_keys == rounds})
[ "recursion" ]
Vale.AES.AES_s.key_schedule_to_round_keys
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
rounds: Prims.nat -> w: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 {FStar.Seq.Base.length w >= 4 * rounds} -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 {FStar.Seq.Base.length round_keys == rounds}
{ "end_col": 35, "end_line": 89, "start_col": 2, "start_line": 85 }
Prims.Tot
val key_to_round_keys (alg: algorithm) (key: aes_key alg) : (round_keys: seq nat8 {length round_keys == 16 * (nr alg + 1)})
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 key_to_round_keys (alg:algorithm) (key:aes_key alg) : (round_keys:seq nat8 {length round_keys == 16 * (nr alg + 1)}) = let key_LE = seq_nat8_to_seq_nat32_LE key in le_seq_quad32_to_bytes (key_to_round_keys_LE alg key_LE)
val key_to_round_keys (alg: algorithm) (key: aes_key alg) : (round_keys: seq nat8 {length round_keys == 16 * (nr alg + 1)}) let key_to_round_keys (alg: algorithm) (key: aes_key alg) : (round_keys: seq nat8 {length round_keys == 16 * (nr alg + 1)}) =
false
null
false
let key_LE = seq_nat8_to_seq_nat32_LE key in le_seq_quad32_to_bytes (key_to_round_keys_LE alg key_LE)
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.AES.AES_common_s.aes_key", "Vale.Def.Types_s.le_seq_quad32_to_bytes", "Vale.AES.AES_s.key_to_round_keys_LE", "FStar.Seq.Base.seq", "Vale.Def.Words_s.nat32", "Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE", "Vale.Def.Types_s.nat8", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "FStar.Mul.op_Star", "Prims.op_Addition", "Vale.AES.AES_common_s.nr" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1))) let aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) = eval_cipher_def alg input_LE (key_to_round_keys_LE alg key) [@"opaque_to_smt"] let aes_encrypt_LE = opaque_make aes_encrypt_LE_def irreducible let aes_encrypt_LE_reveal = opaque_revealer (`%aes_encrypt_LE) aes_encrypt_LE aes_encrypt_LE_def #push-options "--z3rlimit 20"
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val key_to_round_keys (alg: algorithm) (key: aes_key alg) : (round_keys: seq nat8 {length round_keys == 16 * (nr alg + 1)})
[]
Vale.AES.AES_s.key_to_round_keys
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: Vale.AES.AES_common_s.aes_key alg -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.nat8 {FStar.Seq.Base.length round_keys == 16 * (Vale.AES.AES_common_s.nr alg + 1)}
{ "end_col": 58, "end_line": 110, "start_col": 68, "start_line": 108 }
Prims.Pure
val eval_cipher_def (alg: algorithm) (input: quad32) (round_keys: seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True)
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state
val eval_cipher_def (alg: algorithm) (input: quad32) (round_keys: seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) let eval_cipher_def (alg: algorithm) (input: quad32) (round_keys: seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) =
false
null
false
let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[]
[ "Vale.AES.AES_common_s.algorithm", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Vale.Def.Types_s.quad32_xor", "FStar.Seq.Base.index", "Vale.AES.AES_common_s.nr", "Vale.AES.AES_s.shift_rows_LE", "Vale.AES.AES_common_s.sub_bytes", "Vale.AES.AES_s.eval_rounds_def", "Prims.op_Subtraction", "Prims.eq2", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Addition", "Prims.l_True" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1)
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val eval_cipher_def (alg: algorithm) (input: quad32) (round_keys: seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True)
[]
Vale.AES.AES_s.eval_cipher_def
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> input: Vale.Def.Types_s.quad32 -> round_keys: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> Prims.Pure Vale.Def.Types_s.quad32
{ "end_col": 7, "end_line": 58, "start_col": 3, "start_line": 52 }
Prims.Tot
val aes_encrypt (alg: algorithm) (key: aes_key alg) (input: seq16 nat8) : seq16 nat8
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 aes_encrypt (alg:algorithm) (key:aes_key alg) (input:seq16 nat8) : seq16 nat8 = let key_LE = seq_nat8_to_seq_nat32_LE key in let input_LE = le_bytes_to_quad32 input in le_quad32_to_bytes (aes_encrypt_LE alg key_LE input_LE)
val aes_encrypt (alg: algorithm) (key: aes_key alg) (input: seq16 nat8) : seq16 nat8 let aes_encrypt (alg: algorithm) (key: aes_key alg) (input: seq16 nat8) : seq16 nat8 =
false
null
false
let key_LE = seq_nat8_to_seq_nat32_LE key in let input_LE = le_bytes_to_quad32 input in le_quad32_to_bytes (aes_encrypt_LE alg key_LE input_LE)
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.AES.AES_common_s.aes_key", "Vale.Def.Words.Seq_s.seq16", "Vale.Def.Types_s.nat8", "Vale.Def.Types_s.le_quad32_to_bytes", "Vale.AES.AES_s.aes_encrypt_LE", "Vale.Def.Types_s.quad32", "Vale.Def.Types_s.le_bytes_to_quad32", "FStar.Seq.Base.seq", "Vale.Def.Words_s.nat32", "Vale.Def.Words.Seq_s.seq_nat8_to_seq_nat32_LE" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp)) [@"opaque_to_smt"] let expand_key = opaque_make expand_key_def irreducible let expand_key_reveal = opaque_revealer (`%expand_key) expand_key expand_key_def let rec key_schedule_to_round_keys (rounds:nat) (w:seq nat32 {length w >= 4 * rounds}) : (round_keys:seq quad32 {length round_keys == rounds}) = if rounds = 0 then empty else let round_keys = key_schedule_to_round_keys (rounds - 1) w in let rk = Mkfour (index w (4 * rounds - 4)) (index w (4 * rounds - 3)) (index w (4 * rounds - 2)) (index w (4 * rounds - 1)) in append round_keys (create 1 rk) [@"opaque_to_smt"] let key_to_round_keys_LE (alg:algorithm) (key:seq nat32) : Pure (seq quad32) (requires is_aes_key_LE alg key) (ensures fun round_keys -> length round_keys == nr alg + 1) = key_schedule_to_round_keys (nr alg + 1) (expand_key alg key (nb * (nr alg + 1))) let aes_encrypt_LE_def (alg:algorithm) (key:seq nat32) (input_LE:quad32) : Pure quad32 (requires is_aes_key_LE alg key) (ensures fun _ -> True) = eval_cipher_def alg input_LE (key_to_round_keys_LE alg key) [@"opaque_to_smt"] let aes_encrypt_LE = opaque_make aes_encrypt_LE_def irreducible let aes_encrypt_LE_reveal = opaque_revealer (`%aes_encrypt_LE) aes_encrypt_LE aes_encrypt_LE_def #push-options "--z3rlimit 20" let key_to_round_keys (alg:algorithm) (key:aes_key alg) : (round_keys:seq nat8 {length round_keys == 16 * (nr alg + 1)}) = let key_LE = seq_nat8_to_seq_nat32_LE key in le_seq_quad32_to_bytes (key_to_round_keys_LE alg key_LE) #pop-options
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val aes_encrypt (alg: algorithm) (key: aes_key alg) (input: seq16 nat8) : seq16 nat8
[]
Vale.AES.AES_s.aes_encrypt
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: Vale.AES.AES_common_s.aes_key alg -> input: Vale.Def.Words.Seq_s.seq16 Vale.Def.Types_s.nat8 -> Vale.Def.Words.Seq_s.seq16 Vale.Def.Types_s.nat8
{ "end_col": 57, "end_line": 116, "start_col": 83, "start_line": 113 }
Prims.Tot
val expand_key_def (alg: algorithm) (key: aes_key_LE alg) (size: nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE: seq nat32 {length ek_LE == size})
[ { "abbrev": false, "full_module": "Vale.AES.AES_common_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Four_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "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 expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE:seq nat32 {length ek_LE == size}) = if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i-1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp))
val expand_key_def (alg: algorithm) (key: aes_key_LE alg) (size: nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE: seq nat32 {length ek_LE == size}) let rec expand_key_def (alg: algorithm) (key: aes_key_LE alg) (size: nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE: seq nat32 {length ek_LE == size}) =
false
null
false
if size = 0 then empty else let w = expand_key_def alg key (size - 1) in let i = size - 1 in if 0 <= i && i < nk alg then append w (create 1 (index key i)) else let temp = if i % (nk alg) = 0 then nat32_xor (sub_word (rot_word_LE (index w (i - 1)))) (aes_rcon ((i / (nk alg)) - 1)) else if nk alg > 6 && i % (nk alg) = 4 then sub_word (index w (i - 1)) else index w (i - 1) in append w (create 1 (nat32_xor (index w (i - (nk alg))) temp))
{ "checked_file": "Vale.AES.AES_s.fst.checked", "dependencies": [ "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Words.Four_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.AES.AES_s.fst" }
[ "total" ]
[ "Vale.AES.AES_common_s.algorithm", "Vale.AES.AES_s.aes_key_LE", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Mul.op_Star", "Vale.AES.AES_common_s.nb", "Prims.op_Addition", "Vale.AES.AES_common_s.nr", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.empty", "Vale.Def.Types_s.nat32", "Prims.bool", "Prims.op_AmpAmp", "Prims.op_LessThan", "Vale.AES.AES_common_s.nk", "FStar.Seq.Base.append", "FStar.Seq.Base.create", "FStar.Seq.Base.index", "Vale.Def.Types_s.nat32_xor", "Prims.op_Subtraction", "Vale.Def.Words_s.nat32", "Prims.op_Modulus", "Vale.AES.AES_common_s.sub_word", "Vale.AES.AES_s.rot_word_LE", "Vale.AES.AES_common_s.aes_rcon", "Prims.op_Division", "Prims.op_GreaterThan", "FStar.Seq.Base.seq", "Prims.eq2", "FStar.Seq.Base.length", "Vale.AES.AES_s.expand_key_def" ]
[]
module Vale.AES.AES_s // IMPORTANT: This specification is written assuming a little-endian mapping from bytes to quad32s // This is explicit in key_schedule_to_round_keys when we construct the round_key rk, // but it also applies implicitly to the input quad32 open Vale.Def.Prop_s open Vale.Def.Opaque_s open Vale.Def.Words_s open Vale.Def.Words.Four_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open FStar.Seq open FStar.Mul include Vale.AES.AES_common_s // operations assume that the quad32 and nat32 values are little-endian interpretations // of 16-byte and 4-byte sequences assume val mix_columns_LE (q:quad32) : quad32 assume val inv_mix_columns_LE (q:quad32) : quad32 assume val shift_rows_LE (q:quad32) : quad32 assume val inv_shift_rows_LE (q:quad32) : quad32 assume val rot_word_LE (w:nat32) : nat32 assume val commute_sub_bytes_shift_rows (q:quad32) : Lemma (sub_bytes (shift_rows_LE q) == shift_rows_LE (sub_bytes q)) assume val commute_rot_word_sub_word (x:nat32) : Lemma (rot_word_LE (sub_word x) == sub_word (rot_word_LE x)) let is_aes_key_LE (alg:algorithm) (s:seq nat32) : prop0 = length s == nk alg type aes_key_LE (alg:algorithm) : eqtype = s:(seq nat32){is_aes_key_LE alg s} let eval_round (state round_key:quad32) = let s = sub_bytes state in let s = shift_rows_LE s in let s = mix_columns_LE s in let s = quad32_xor s round_key in s let rec eval_rounds_def (init:quad32) (round_keys:seq quad32) (n:nat{n < length round_keys}) : quad32 = if n = 0 then init else eval_round (eval_rounds_def init round_keys (n - 1)) (index round_keys n) [@"opaque_to_smt"] let eval_rounds = opaque_make eval_rounds_def irreducible let eval_rounds_reveal = opaque_revealer (`%eval_rounds) eval_rounds eval_rounds_def let eval_cipher_def (alg:algorithm) (input:quad32) (round_keys:seq quad32) : Pure quad32 (requires length round_keys == nr alg + 1) (ensures fun _ -> True) = let state = quad32_xor input (index round_keys 0) in let state = eval_rounds_def state round_keys (nr alg - 1) in let state = sub_bytes state in let state = shift_rows_LE state in let state = quad32_xor state (index round_keys (nr alg)) in state [@"opaque_to_smt"] let eval_cipher = opaque_make eval_cipher_def irreducible let eval_cipher_reveal = opaque_revealer (`%eval_cipher) eval_cipher eval_cipher_def let rec expand_key_def (alg:algorithm) (key:aes_key_LE alg) (size:nat{size <= (nb * ((nr alg) + 1))})
false
false
Vale.AES.AES_s.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "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": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val expand_key_def (alg: algorithm) (key: aes_key_LE alg) (size: nat{size <= (nb * ((nr alg) + 1))}) : (ek_LE: seq nat32 {length ek_LE == size})
[ "recursion" ]
Vale.AES.AES_s.expand_key_def
{ "file_name": "vale/specs/crypto/Vale.AES.AES_s.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
alg: Vale.AES.AES_common_s.algorithm -> key: Vale.AES.AES_s.aes_key_LE alg -> size: Prims.nat{size <= Vale.AES.AES_common_s.nb * (Vale.AES.AES_common_s.nr alg + 1)} -> ek_LE: FStar.Seq.Base.seq Vale.Def.Types_s.nat32 {FStar.Seq.Base.length ek_LE == size}
{ "end_col": 67, "end_line": 79, "start_col": 2, "start_line": 64 }