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FStar.Sequence.Base.fst
FStar.Sequence.Base.index_into_drop_helper
val index_into_drop_helper (#ty: Type) (s: list ty) (n j: nat) : Lemma (requires j < length s - n /\ length (drop s n) = length s - n) (ensures index (drop s n) j == index s (j + n))
val index_into_drop_helper (#ty: Type) (s: list ty) (n j: nat) : Lemma (requires j < length s - n /\ length (drop s n) = length s - n) (ensures index (drop s n) j == index s (j + n))
let rec index_into_drop_helper (#ty: Type) (s: list ty) (n: nat) (j: nat) : Lemma (requires j < length s - n /\ length (drop s n) = length s - n) (ensures index (drop s n) j == index s (j + n)) = match s with | hd :: tl -> if n = 0 then () else index_into_drop_helper tl (n - 1) j
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 73, "end_line": 474, "start_col": 8, "start_line": 470 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: Prims.list ty -> n: Prims.nat -> j: Prims.nat -> FStar.Pervasives.Lemma (requires j < FStar.Sequence.Base.length s - n /\ FStar.Sequence.Base.length (FStar.Sequence.Base.drop s n) = FStar.Sequence.Base.length s - n ) (ensures FStar.Sequence.Base.index (FStar.Sequence.Base....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.op_Equality", "Prims.int", "Prims.bool", "FStar.Sequence.Base.index_into_drop_helper", "Prims.op_Subtraction", "Prims.unit", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "FStar.Sequence.Base.length", "FStar.Sequence.Base.drop", "Prims.squash", "Prims...
[ "recursion" ]
false
false
true
false
false
let rec index_into_drop_helper (#ty: Type) (s: list ty) (n j: nat) : Lemma (requires j < length s - n /\ length (drop s n) = length s - n) (ensures index (drop s n) j == index s (j + n)) =
match s with | hd :: tl -> if n = 0 then () else index_into_drop_helper tl (n - 1) j
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.drop_then_drop_lemma
val drop_then_drop_lemma: Prims.unit -> Lemma (requires drop_length_fact u#a) (ensures drop_then_drop_fact u#a ())
val drop_then_drop_lemma: Prims.unit -> Lemma (requires drop_length_fact u#a) (ensures drop_then_drop_fact u#a ())
let drop_then_drop_lemma () : Lemma (requires drop_length_fact u#a) (ensures drop_then_drop_fact u#a ()) = introduce forall (ty: Type) (s: seq ty) (m: nat) (n: nat). m + n <= length s ==> drop (drop s m) n == drop s (m + n) with introduce _ ==> _ with given_antecedent. ( assert (length (...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 709, "start_col": 8, "start_line": 701 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
_: Prims.unit -> FStar.Pervasives.Lemma (requires FStar.Sequence.Base.drop_length_fact) (ensures FStar.Sequence.Base.drop_then_drop_fact ())
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.unit", "FStar.Classical.Sugar.forall_intro", "Prims.l_Forall", "FStar.Sequence.Base.seq", "Prims.nat", "Prims.l_imp", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.op_Addition", "FStar.Sequence.Base.length", "Prims.eq2", "FStar.Sequence.Base.drop", "FStar.Classical.Sugar.implies_int...
[]
false
false
true
false
false
let drop_then_drop_lemma () : Lemma (requires drop_length_fact u#a) (ensures drop_then_drop_fact u#a ()) =
introduce forall (ty: Type) (s: seq ty) (m: nat) (n: nat) . m + n <= length s ==> drop (drop s m) n == drop s (m + n) with introduce _ ==> _ with given_antecedent. (assert (length (drop s m) = length s - m); drop_then_drop_helper s m n)
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.drop_ignores_out_of_range_update_helper
val drop_ignores_out_of_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s) (ensures drop (update s i v) n == drop s n)
val drop_ignores_out_of_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s) (ensures drop (update s i v) n == drop s n)
let rec drop_ignores_out_of_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s) (ensures drop (update s i v) n == drop s n) = match s with | hd :: tl -> if i = 0 th...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 98, "end_line": 606, "start_col": 8, "start_line": 600 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: Prims.list ty -> i: Prims.nat -> v: ty -> n: Prims.nat -> FStar.Pervasives.Lemma (requires i < n /\ n <= FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.update s i v) = FStar.Sequence.Base.length s ) (ensures FStar.Sequence.Base.drop (FStar....
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.op_Equality", "Prims.int", "Prims.bool", "FStar.Sequence.Base.drop_ignores_out_of_range_update_helper", "Prims.op_Subtraction", "Prims.unit", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Prims.op_LessThanOrEqual", "FStar.Sequence.Base.length", "FStar....
[ "recursion" ]
false
false
true
false
false
let rec drop_ignores_out_of_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s) (ensures drop (update s i v) n == drop s n) =
match s with | hd :: tl -> if i = 0 then () else drop_ignores_out_of_range_update_helper tl (i - 1) v (n - 1)
false
Pulse.Checker.Prover.ElimExists.fst
Pulse.Checker.Prover.ElimExists.should_elim_exists
val should_elim_exists (v: vprop) : T.Tac bool
val should_elim_exists (v: vprop) : T.Tac bool
let should_elim_exists (v:vprop) : T.Tac bool = match v.t with | Tm_ExistsSL _ _ _ -> true | _ -> false
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.ElimExists.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 14, "end_line": 33, "start_col": 0, "start_line": 30 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.Combinators.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.Checker.VPropEquiv.fsti.checked", "Pulse.Checker.Prover.Base.fsti.checked", "prims.fst.checked", "FStar....
[ { "abbrev": false, "full_module": "Pulse.Checker.Prover.Base", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.VPropEquiv", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": ...
{ "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_el...
false
v: Pulse.Syntax.Base.vprop -> FStar.Tactics.Effect.Tac Prims.bool
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Syntax.Base.vprop", "Pulse.Syntax.Base.__proj__Mkterm__item__t", "Pulse.Syntax.Base.universe", "Pulse.Syntax.Base.binder", "Pulse.Syntax.Base.term", "Pulse.Syntax.Base.term'", "Prims.bool" ]
[]
false
true
false
false
false
let should_elim_exists (v: vprop) : T.Tac bool =
match v.t with | Tm_ExistsSL _ _ _ -> true | _ -> false
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.take_commutes_with_in_range_update_helper
val take_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s /\ length (take s n) = n) (ensures take (update s i v) n == update (take s n) i v)
val take_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s /\ length (take s n) = n) (ensures take (update s i v) n == update (take s n) i v)
let rec take_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s /\ length (take s n) = n) (ensures take (update s i v) n == update ...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 136, "end_line": 526, "start_col": 8, "start_line": 519 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: Prims.list ty -> i: Prims.nat -> v: ty -> n: Prims.nat -> FStar.Pervasives.Lemma (requires i < n /\ n <= FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.update s i v) = FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.take...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.op_Equality", "Prims.int", "Prims.bool", "FStar.Sequence.Base.take_commutes_with_in_range_update_helper", "Prims.op_Subtraction", "Prims.unit", "FStar.Sequence.Base.update_maintains_length_lemma", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Le...
[ "recursion" ]
false
false
true
false
false
let rec take_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires i < n /\ n <= length s /\ length (update s i v) = length s /\ length (take s n) = n) (ensures take (update s i v) n == update (take s n) i v) =
match s with | hd :: tl -> if i = 0 then () else (update_maintains_length_lemma (); take_commutes_with_in_range_update_helper tl (i - 1) v (n - 1))
false
AlgWP.fst
AlgWP.rwops
val rwops : Type0
let rwops = labs:ops{sublist labs [Read; Write]}
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 48, "end_line": 17, "start_col": 0, "start_line": 17 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
Type0
Prims.Tot
[ "total" ]
[]
[ "Alg.ops", "Alg.sublist", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil" ]
[]
false
false
false
true
true
let rwops =
labs: ops{sublist labs [Read; Write]}
false
AlgWP.fst
AlgWP.subops
val subops: rwops -> rwops -> Type0
val subops: rwops -> rwops -> Type0
let subops : rwops -> rwops -> Type0 = sublist
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 46, "end_line": 33, "start_col": 0, "start_line": 33 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
_: AlgWP.rwops -> _: AlgWP.rwops -> Type0
Prims.Tot
[ "total" ]
[]
[ "Alg.sublist" ]
[]
false
false
false
true
true
let subops: rwops -> rwops -> Type0 =
sublist
false
AlgWP.fst
AlgWP.sublist_at
val sublist_at (l1 l2: ops) : Lemma (sublist l1 (l1 @ l2) /\ sublist l2 (l1 @ l2)) [SMTPat (l1 @ l2)]
val sublist_at (l1 l2: ops) : Lemma (sublist l1 (l1 @ l2) /\ sublist l2 (l1 @ l2)) [SMTPat (l1 @ l2)]
let sublist_at (l1 l2 : ops) : Lemma (sublist l1 (l1@l2) /\ sublist l2 (l1@l2)) [SMTPat (l1@l2)] = Alg.sublist_at l1 l2
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 24, "end_line": 38, "start_col": 0, "start_line": 35 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
l1: Alg.ops -> l2: Alg.ops -> FStar.Pervasives.Lemma (ensures Alg.sublist l1 (l1 @ l2) /\ Alg.sublist l2 (l1 @ l2)) [SMTPat (l1 @ l2)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Alg.ops", "Alg.sublist_at", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_and", "Alg.sublist", "FStar.List.Tot.Base.op_At", "Alg.op", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.list", "Prims.Nil" ]
[]
true
false
true
false
false
let sublist_at (l1 l2: ops) : Lemma (sublist l1 (l1 @ l2) /\ sublist l2 (l1 @ l2)) [SMTPat (l1 @ l2)] =
Alg.sublist_at l1 l2
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.drop_then_drop_helper
val drop_then_drop_helper (#ty: Type) (s: seq ty) (m n: nat) : Lemma (requires m + n <= length s /\ length (drop s m) = length s - m) (ensures drop (drop s m) n == drop s (m + n))
val drop_then_drop_helper (#ty: Type) (s: seq ty) (m n: nat) : Lemma (requires m + n <= length s /\ length (drop s m) = length s - m) (ensures drop (drop s m) n == drop s (m + n))
let rec drop_then_drop_helper (#ty: Type) (s: seq ty) (m: nat) (n: nat) : Lemma (requires m + n <= length s /\ length (drop s m) = length s - m) (ensures drop (drop s m) n == drop s (m + n)) = match s with | [] -> () | hd :: tl -> if m = 0 then () else ( drop_length_lemma (); ...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 699, "start_col": 8, "start_line": 688 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: FStar.Sequence.Base.seq ty -> m: Prims.nat -> n: Prims.nat -> FStar.Pervasives.Lemma (requires m + n <= FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.drop s m) = FStar.Sequence.Base.length s - m ) (ensures FStar.Sequence.Base.drop (FStar.S...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Sequence.Base.seq", "Prims.nat", "Prims.list", "Prims.op_Equality", "Prims.int", "Prims.bool", "FStar.Sequence.Base.drop_then_drop_helper", "Prims.op_Subtraction", "Prims.unit", "FStar.Sequence.Base.drop_length_lemma", "Prims.l_and", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.o...
[ "recursion" ]
false
false
true
false
false
let rec drop_then_drop_helper (#ty: Type) (s: seq ty) (m n: nat) : Lemma (requires m + n <= length s /\ length (drop s m) = length s - m) (ensures drop (drop s m) n == drop s (m + n)) =
match s with | [] -> () | hd :: tl -> if m = 0 then () else (drop_length_lemma (); drop_then_drop_helper tl (m - 1) n)
false
AlgWP.fst
AlgWP.st_wp
val st_wp : a: Type -> Type
let st_wp (a:Type) = wp:st_wp0 a{st_monotonic wp}
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 57, "start_col": 0, "start_line": 57 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> Type
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp0", "AlgWP.st_monotonic" ]
[]
false
false
false
true
true
let st_wp (a: Type) =
wp: st_wp0 a {st_monotonic wp}
false
AlgWP.fst
AlgWP.st_monotonic
val st_monotonic (#a: _) (w: st_wp0 a) : Type0
val st_monotonic (#a: _) (w: st_wp0 a) : Type0
let st_monotonic #a (w : st_wp0 a) : Type0 = //forall s0 p1 p2. (forall r. p1 r ==> p2 r) ==> w s0 p1 ==> w s0 p2 // ^ this version seems to be less SMT-friendly forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 83, "end_line": 55, "start_col": 0, "start_line": 52 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
w: AlgWP.st_wp0 a -> Type0
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp0", "Prims.l_Forall", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
false
false
true
true
let st_monotonic #a (w: st_wp0 a) : Type0 =
forall s0 p1 p2. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> w s0 p1 ==> w s0 p2
false
AlgWP.fst
AlgWP.tbind
val tbind: #a: _ -> #b: _ -> #labs1: _ -> #labs2: _ -> rwtree a labs1 -> (a -> rwtree b labs2) -> rwtree b (labs1 @@ labs2)
val tbind: #a: _ -> #b: _ -> #labs1: _ -> #labs2: _ -> rwtree a labs1 -> (a -> rwtree b labs2) -> rwtree b (labs1 @@ labs2)
let tbind : #a:_ -> #b:_ -> #labs1:_ -> #labs2:_ -> rwtree a labs1 -> (a -> rwtree b labs2) -> rwtree b (labs1@@labs2) = fun c f -> Alg.bind _ _ c f
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 90, "end_line": 48, "start_col": 0, "start_line": 45 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
c: AlgWP.rwtree a labs1 -> f: (_: a -> AlgWP.rwtree b labs2) -> AlgWP.rwtree b (labs1 @@ labs2)
Prims.Tot
[ "total" ]
[]
[ "Alg.ops", "Alg.sublist", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.rwtree", "Alg.bind", "AlgWP.op_At_At" ]
[]
false
false
false
false
false
let tbind: #a: _ -> #b: _ -> #labs1: _ -> #labs2: _ -> rwtree a labs1 -> (a -> rwtree b labs2) -> rwtree b (labs1 @@ labs2) =
fun c f -> Alg.bind _ _ c f
false
Pulse.Recursion.fst
Pulse.Recursion.map2
val map2 (#a #b #c: _) (f: (a -> b -> Tac c)) (xs: list a) (ys: list b) : Tac (list c)
val map2 (#a #b #c: _) (f: (a -> b -> Tac c)) (xs: list a) (ys: list b) : Tac (list c)
let rec map2 #a #b #c (f : a -> b -> Tac c) (xs : list a) (ys : list b) : Tac (list c) = match xs, ys with | [], [] -> [] | x::xx, y::yy -> f x y :: map2 f xx yy | _ -> raise Map2_length_mismatch
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 35, "end_line": 46, "start_col": 0, "start_line": 42 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
f: (_: a -> _: b -> FStar.Tactics.Effect.Tac c) -> xs: Prims.list a -> ys: Prims.list b -> FStar.Tactics.Effect.Tac (Prims.list c)
FStar.Tactics.Effect.Tac
[]
[]
[ "Prims.list", "FStar.Pervasives.Native.Mktuple2", "Prims.Nil", "Prims.Cons", "Pulse.Recursion.map2", "FStar.Pervasives.Native.tuple2", "FStar.Tactics.Effect.raise", "Pulse.Recursion.Map2_length_mismatch" ]
[ "recursion" ]
false
true
false
false
false
let rec map2 #a #b #c (f: (a -> b -> Tac c)) (xs: list a) (ys: list b) : Tac (list c) =
match xs, ys with | [], [] -> [] | x :: xx, y :: yy -> f x y :: map2 f xx yy | _ -> raise Map2_length_mismatch
false
Pulse.Recursion.fst
Pulse.Recursion.subst_binder_typ
val subst_binder_typ (s: FStar.Stubs.Syntax.Syntax.subst_t) (b: Tactics.NamedView.binder) : Tactics.NamedView.binder
val subst_binder_typ (s: FStar.Stubs.Syntax.Syntax.subst_t) (b: Tactics.NamedView.binder) : Tactics.NamedView.binder
let subst_binder_typ (s : FStar.Stubs.Syntax.Syntax.subst_t) (b : Tactics.NamedView.binder) : Tactics.NamedView.binder = { b with sort = FStar.Stubs.Reflection.V2.Builtins.subst_term s b.sort }
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 74, "end_line": 61, "start_col": 0, "start_line": 60 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: FStar.Stubs.Syntax.Syntax.subst_t -> b: FStar.Tactics.NamedView.binder -> FStar.Tactics.NamedView.binder
Prims.Tot
[ "total" ]
[]
[ "FStar.Stubs.Syntax.Syntax.subst_t", "FStar.Tactics.NamedView.binder", "FStar.Tactics.NamedView.Mkbinder", "FStar.Tactics.NamedView.__proj__Mkbinder__item__uniq", "FStar.Tactics.NamedView.__proj__Mkbinder__item__ppname", "FStar.Stubs.Reflection.V2.Builtins.subst_term", "FStar.Tactics.NamedView.__proj__M...
[]
false
false
false
true
false
let subst_binder_typ (s: FStar.Stubs.Syntax.Syntax.subst_t) (b: Tactics.NamedView.binder) : Tactics.NamedView.binder =
{ b with sort = FStar.Stubs.Reflection.V2.Builtins.subst_term s b.sort }
false
Pulse.Recursion.fst
Pulse.Recursion.string_as_term
val string_as_term (s: string) : R.term
val string_as_term (s: string) : R.term
let string_as_term (s:string) : R.term = R.pack_ln (R.Tv_Const (C_String s))
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 37, "end_line": 54, "start_col": 0, "start_line": 53 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
s: Prims.string -> FStar.Stubs.Reflection.Types.term
Prims.Tot
[ "total" ]
[]
[ "Prims.string", "FStar.Stubs.Reflection.V2.Builtins.pack_ln", "FStar.Stubs.Reflection.V2.Data.Tv_Const", "FStar.Stubs.Reflection.V2.Data.C_String", "FStar.Stubs.Reflection.Types.term" ]
[]
false
false
false
true
false
let string_as_term (s: string) : R.term =
R.pack_ln (R.Tv_Const (C_String s))
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.drop_commutes_with_in_range_update_helper
val drop_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires n <= i /\ i < length s /\ length (update s i v) = length s /\ length (drop s n) = length s - n) (ensures drop (update s i v) n == update (drop s n) (i - n) v)
val drop_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires n <= i /\ i < length s /\ length (update s i v) = length s /\ length (drop s n) = length s - n) (ensures drop (update s i v) n == update (drop s n) (i - n) v)
let rec drop_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires n <= i /\ i < length s /\ length (update s i v) = length s /\ length (drop s n) = length s - n) (ensures drop (update s i v) n...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 582, "start_col": 8, "start_line": 567 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 2, "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_el...
false
s: Prims.list ty -> i: Prims.nat -> v: ty -> n: Prims.nat -> FStar.Pervasives.Lemma (requires n <= i /\ i < FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.update s i v) = FStar.Sequence.Base.length s /\ FStar.Sequence.Base.length (FStar.Sequence.Base.drop...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.op_Equality", "Prims.int", "Prims.bool", "FStar.Sequence.Base.drop_commutes_with_in_range_update_helper", "Prims.op_Subtraction", "Prims.unit", "FStar.Sequence.Base.drop_length_lemma", "FStar.Sequence.Base.update_maintains_length_lemma", "Prims.l_and", "Prims....
[ "recursion" ]
false
false
true
false
false
let rec drop_commutes_with_in_range_update_helper (#ty: Type) (s: list ty) (i: nat) (v: ty) (n: nat) : Lemma (requires n <= i /\ i < length s /\ length (update s i v) = length s /\ length (drop s n) = length s - n) (ensures drop (update s i v) n == update (drop s n) (i - n) v) =
match s with | hd :: tl -> if n = 0 then () else (update_maintains_length_lemma (); drop_length_lemma (); drop_commutes_with_in_range_update_helper tl (i - 1) v (n - 1))
false
AlgWP.fst
AlgWP.stronger
val stronger : (#a:Type) -> st_wp a -> st_wp a -> Type0
val stronger : (#a:Type) -> st_wp a -> st_wp a -> Type0
let stronger w1 w2 = forall p s. w1 p s ==> w2 p s
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 95, "start_col": 0, "start_line": 95 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
w1: AlgWP.st_wp a -> w2: AlgWP.st_wp a -> Type0
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Prims.l_Forall", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.l_imp" ]
[]
false
false
false
true
true
let stronger w1 w2 =
forall p s. w1 p s ==> w2 p s
false
AlgWP.fst
AlgWP.equiv
val equiv : w1: AlgWP.st_wp a -> w2: AlgWP.st_wp a -> Prims.logical
let equiv #a (w1 w2 : st_wp a) = w1 `stronger` w2 /\ w2 `stronger` w1
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 69, "end_line": 97, "start_col": 0, "start_line": 97 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
w1: AlgWP.st_wp a -> w2: AlgWP.st_wp a -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Prims.l_and", "AlgWP.stronger", "Prims.logical" ]
[]
false
false
false
true
true
let equiv #a (w1: st_wp a) (w2: st_wp a) =
w1 `stronger` w2 /\ w2 `stronger` w1
false
AlgWP.fst
AlgWP.wp_is_monotonic
val wp_is_monotonic (#a: _) (wp: st_wp a) : Type0
val wp_is_monotonic (#a: _) (wp: st_wp a) : Type0
let wp_is_monotonic #a (wp : st_wp a) : Type0 = forall p1 p2 s0. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> wp s0 p1 ==> wp s0 p2
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 85, "end_line": 108, "start_col": 0, "start_line": 107 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
wp: AlgWP.st_wp a -> Type0
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Prims.l_Forall", "FStar.Pervasives.Native.tuple2", "Alg.state", "Prims.logical", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
false
false
true
true
let wp_is_monotonic #a (wp: st_wp a) : Type0 =
forall p1 p2 s0. (forall x s1. p1 (x, s1) ==> p2 (x, s1)) ==> wp s0 p1 ==> wp s0 p2
false
AlgWP.fst
AlgWP.sublist_at_const
val sublist_at_const (l1 l2 l3: ops) : Lemma (requires (sublist l1 l3 /\ sublist l2 l3)) (ensures (sublist (l1 @ l2) l3)) [SMTPat (sublist (l1 @ l2) l3)]
val sublist_at_const (l1 l2 l3: ops) : Lemma (requires (sublist l1 l3 /\ sublist l2 l3)) (ensures (sublist (l1 @ l2) l3)) [SMTPat (sublist (l1 @ l2) l3)]
let rec sublist_at_const (l1 l2 l3 : ops) : Lemma (requires (sublist l1 l3 /\ sublist l2 l3)) (ensures (sublist (l1@l2) l3)) [SMTPat (sublist (l1@l2) l3)] = match l1 with | [] -> () | h::t -> sublist_at_const t l2 l3
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 38, "end_line": 30, "start_col": 0, "start_line": 24 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
l1: Alg.ops -> l2: Alg.ops -> l3: Alg.ops -> FStar.Pervasives.Lemma (requires Alg.sublist l1 l3 /\ Alg.sublist l2 l3) (ensures Alg.sublist (l1 @ l2) l3) [SMTPat (Alg.sublist (l1 @ l2) l3)]
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Alg.ops", "Alg.op", "Prims.list", "AlgWP.sublist_at_const", "Prims.unit", "Prims.l_and", "Alg.sublist", "Prims.squash", "FStar.List.Tot.Base.op_At", "Prims.Cons", "FStar.Pervasives.pattern", "FStar.Pervasives.smt_pat", "Prims.logical", "Prims.Nil" ]
[ "recursion" ]
false
false
true
false
false
let rec sublist_at_const (l1 l2 l3: ops) : Lemma (requires (sublist l1 l3 /\ sublist l2 l3)) (ensures (sublist (l1 @ l2) l3)) [SMTPat (sublist (l1 @ l2) l3)] =
match l1 with | [] -> () | h :: t -> sublist_at_const t l2 l3
false
FStar.Sequence.Base.fst
FStar.Sequence.Base.drop_contains_equiv_exists_helper1
val drop_contains_equiv_exists_helper1 (ty: Type) (s: list ty) (n: nat{n <= length s}) (x: ty) : Lemma (requires FLT.memP x (drop s n)) (ensures (exists (i: nat). {:pattern index s i} n <= i /\ i < length s /\ index s i == x))
val drop_contains_equiv_exists_helper1 (ty: Type) (s: list ty) (n: nat{n <= length s}) (x: ty) : Lemma (requires FLT.memP x (drop s n)) (ensures (exists (i: nat). {:pattern index s i} n <= i /\ i < length s /\ index s i == x))
let rec drop_contains_equiv_exists_helper1 (ty: Type) (s: list ty) (n: nat{n <= length s}) (x: ty) : Lemma (requires FLT.memP x (drop s n)) (ensures (exists (i: nat).{:pattern index s i} n <= i /\ i < length s /\ index s i == x)) = match s with | hd :: tl -> eliminate n == 0 \/ n <> 0 returns ...
{ "file_name": "ulib/experimental/FStar.Sequence.Base.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 99, "end_line": 370, "start_col": 8, "start_line": 349 }
(* Copyright 2008-2021 Jay Lorch, Rustan Leino, Alex Summers, Dan Rosen, Nikhil Swamy, Microsoft Research, and contributors to the Dafny Project 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 th...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.fst.checked", "FStar.Classical.Sugar.fsti.checked" ], "interface_file": true, "source_file": "F...
[ { "abbrev": true, "full_module": "FStar.List.Tot", "short_module": "FLT" }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module": "FStar.Sequence", "short_module": null }, { "abbrev": false, "full_module"...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 1, "initial_ifuel": 1, "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_el...
false
ty: Type -> s: Prims.list ty -> n: Prims.nat{n <= FStar.Sequence.Base.length s} -> x: ty -> FStar.Pervasives.Lemma (requires FStar.List.Tot.Base.memP x (FStar.Sequence.Base.drop s n)) (ensures exists (i: Prims.nat). {:pattern FStar.Sequence.Base.index s i} n <= i /\ i < FStar.Sequence.Base.len...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.list", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "FStar.Sequence.Base.length", "FStar.Classical.Sugar.or_elim", "Prims.eq2", "Prims.int", "Prims.squash", "Prims.l_not", "Prims.op_disEquality", "Prims.l_Exists", "Prims.l_and", "Prims.op_LessThan", "FStar.Sequence.Base.i...
[ "recursion" ]
false
false
true
false
false
let rec drop_contains_equiv_exists_helper1 (ty: Type) (s: list ty) (n: nat{n <= length s}) (x: ty) : Lemma (requires FLT.memP x (drop s n)) (ensures (exists (i: nat). {:pattern index s i} n <= i /\ i < length s /\ index s i == x)) =
match s with | hd :: tl -> eliminate n == 0 \/ n <> 0 returns exists (i: nat). {:pattern index s i} n <= i /\ i < length s /\ index s i == x with case_n_eq_0 . (eliminate x == hd \/ ~(x == hd) returns _ with _ . assert (index s 0 == x) and _ . (drop_contains_equiv_exists_helper1 ty tl n x; elimi...
false
AlgWP.fst
AlgWP.noops
val noops:rwops
val noops:rwops
let noops : rwops = []
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 22, "end_line": 19, "start_col": 0, "start_line": 19 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
AlgWP.rwops
Prims.Tot
[ "total" ]
[]
[ "Prims.Nil", "Alg.op" ]
[]
false
false
false
true
false
let noops:rwops =
[]
false
AlgWP.fst
AlgWP.read_wp
val read_wp:st_wp state
val read_wp:st_wp state
let read_wp : st_wp state = fun s0 p -> p (s0, s0)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 50, "end_line": 68, "start_col": 0, "start_line": 68 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
AlgWP.st_wp Alg.state
Prims.Tot
[ "total" ]
[]
[ "Alg.state", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
false
false
true
false
let read_wp:st_wp state =
fun s0 p -> p (s0, s0)
false
AlgWP.fst
AlgWP.bind_wp
val bind_wp (#a #b: _) (w: st_wp a) (wf: (a -> st_wp b)) : st_wp b
val bind_wp (#a #b: _) (w: st_wp a) (wf: (a -> st_wp b)) : st_wp b
let bind_wp #a #b (w : st_wp a) (wf : a -> st_wp b) : st_wp b = fun s0 p -> w s0 (fun (y, s1) -> wf y s1 p)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 47, "end_line": 65, "start_col": 0, "start_line": 63 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
w: AlgWP.st_wp a -> wf: (_: a -> AlgWP.st_wp b) -> AlgWP.st_wp b
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Alg.state", "FStar.Pervasives.Native.tuple2" ]
[]
false
false
false
true
false
let bind_wp #a #b (w: st_wp a) (wf: (a -> st_wp b)) : st_wp b =
fun s0 p -> w s0 (fun (y, s1) -> wf y s1 p)
false
AlgWP.fst
AlgWP.write_wp
val write_wp: state -> st_wp unit
val write_wp: state -> st_wp unit
let write_wp : state -> st_wp unit = fun s _ p -> p ((), s)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 59, "end_line": 71, "start_col": 0, "start_line": 71 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
s: Alg.state -> AlgWP.st_wp Prims.unit
Prims.Tot
[ "total" ]
[]
[ "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.unit", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
false
false
true
false
let write_wp: state -> st_wp unit =
fun s _ p -> p ((), s)
false
AlgWP.fst
AlgWP.interp_as_wp
val interp_as_wp (#a: _) (t: Alg.tree a [Read; Write]) : st_wp a
val interp_as_wp (#a: _) (t: Alg.tree a [Read; Write]) : st_wp a
let rec interp_as_wp #a (t : Alg.tree a [Read;Write]) : st_wp a = match t with | Return x -> return_wp x | Op Read _ k -> bind_wp read_wp (fun s -> interp_as_wp (k s)) | Op Write s k -> bind_wp (write_wp s) (fun (o:unit) -> interp_as_wp (k o))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 61, "end_line": 80, "start_col": 0, "start_line": 74 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
t: Alg.tree a [Alg.Read; Alg.Write] -> AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "Alg.tree", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.return_wp", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.bind_wp", "Alg.state", "AlgWP.read_wp", "AlgWP.interp_as_wp", "AlgWP.st_wp", "Prims.unit", "AlgWP.write_wp" ]
[ "recursion" ]
false
false
false
true
false
let rec interp_as_wp #a (t: Alg.tree a [Read; Write]) : st_wp a =
match t with | Return x -> return_wp x | Op Read _ k -> bind_wp read_wp (fun s -> interp_as_wp (k s)) | Op Write s k -> bind_wp (write_wp s) (fun (o: unit) -> interp_as_wp (k o))
false
Hacl.Impl.Ed25519.Ladder.fst
Hacl.Impl.Ed25519.Ladder.point_mul
val point_mul: out:point -> scalar:lbuffer uint8 32ul -> q:point -> Stack unit (requires fun h -> live h scalar /\ live h q /\ live h out /\ disjoint q out /\ disjoint q scalar /\ F51.point_inv_t h q /\ F51.inv_ext_point (as_seq h q)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F5...
val point_mul: out:point -> scalar:lbuffer uint8 32ul -> q:point -> Stack unit (requires fun h -> live h scalar /\ live h q /\ live h out /\ disjoint q out /\ disjoint q scalar /\ F51.point_inv_t h q /\ F51.inv_ext_point (as_seq h q)) (ensures fun h0 _ h1 -> modifies (loc out) h0 h1 /\ F5...
let point_mul out scalar q = let h0 = ST.get () in SE.exp_fw_lemma S.mk_ed25519_concrete_ops (F51.point_eval h0 q) 256 (BSeq.nat_from_bytes_le (as_seq h0 scalar)) 4; push_frame (); let bscalar = create 4ul (u64 0) in convert_scalar scalar bscalar; point_mul_noalloc out bscalar q; pop_frame ()
{ "file_name": "code/ed25519/Hacl.Impl.Ed25519.Ladder.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 14, "end_line": 96, "start_col": 0, "start_line": 88 }
module Hacl.Impl.Ed25519.Ladder module ST = FStar.HyperStack.ST open FStar.HyperStack.All open FStar.Mul open Lib.IntTypes open Lib.Buffer open Hacl.Bignum25519 module F51 = Hacl.Impl.Ed25519.Field51 module BSeq = Lib.ByteSequence module LE = Lib.Exponentiation module SE = Spec.Exponentiation module BE = Hacl.Impl...
{ "checked_file": "/", "dependencies": [ "Spec.Exponentiation.fsti.checked", "Spec.Ed25519.Lemmas.fsti.checked", "Spec.Ed25519.fst.checked", "prims.fst.checked", "LowStar.Ignore.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.Exponentiation.fsti.checked", "Lib.ByteSequence.fsti.chec...
[ { "abbrev": false, "full_module": "Hacl.Ed25519.PrecompTable", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Ed25519.Group", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Ed25519.PointConstants", "short_module": null }, { ...
{ "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_el...
false
out: Hacl.Bignum25519.point -> scalar: Lib.Buffer.lbuffer Lib.IntTypes.uint8 32ul -> q: Hacl.Bignum25519.point -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Hacl.Bignum25519.point", "Lib.Buffer.lbuffer", "Lib.IntTypes.uint8", "FStar.UInt32.__uint_to_t", "FStar.HyperStack.ST.pop_frame", "Prims.unit", "Hacl.Impl.Ed25519.Ladder.point_mul_noalloc", "Hacl.Impl.Ed25519.Ladder.convert_scalar", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Lib.IntTypes.int_t"...
[]
false
true
false
false
false
let point_mul out scalar q =
let h0 = ST.get () in SE.exp_fw_lemma S.mk_ed25519_concrete_ops (F51.point_eval h0 q) 256 (BSeq.nat_from_bytes_le (as_seq h0 scalar)) 4; push_frame (); let bscalar = create 4ul (u64 0) in convert_scalar scalar bscalar; point_mul_noalloc out bscalar q; pop_frame ()
false
AlgWP.fst
AlgWP.interp_as_wp2
val interp_as_wp2 (#a #l: _) (t: rwtree a l) : Alg (st_wp a) []
val interp_as_wp2 (#a #l: _) (t: rwtree a l) : Alg (st_wp a) []
let interp_as_wp2 #a #l (t : rwtree a l) : Alg (st_wp a) [] = let t0 : Alg.tree a [Read; Write] = t in handle_with #a #(st_wp a) #[Read; Write] #[] (fun () -> Alg?.reflect t0) (fun x -> return_wp x) (function Read -> (fun i k -> bind_wp read_wp (fun s -> run (fun () -> k s...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 84, "end_line": 89, "start_col": 0, "start_line": 83 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
t: AlgWP.rwtree a l -> Alg.Alg (AlgWP.st_wp a)
Alg.Alg
[]
[]
[ "Alg.ops", "Alg.sublist", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.rwtree", "Alg.handle_with", "AlgWP.st_wp", "Prims.unit", "AlgWP.return_wp", "FStar.List.Tot.Base.memP", "Alg.op_inp", "Alg.op_out", "AlgWP.bind_wp", "Alg.state", "AlgWP.read_wp", "Alg.r...
[]
false
true
false
false
false
let interp_as_wp2 #a #l (t: rwtree a l) : Alg (st_wp a) [] =
let t0:Alg.tree a [Read; Write] = t in handle_with #a #(st_wp a) #[Read; Write] #[] (fun () -> Alg?.reflect t0) (fun x -> return_wp x) (function | Read -> (fun i k -> bind_wp read_wp (fun s -> run (fun () -> k s))) | Write -> (fun i k -> bind_wp (write_wp i) (fun _ -> run k)))
false
AlgWP.fst
AlgWP.interp_ret'
val interp_ret' (#a:Type) (x:a) : Lemma (return_wp x == interp_as_wp (Return x))
val interp_ret' (#a:Type) (x:a) : Lemma (return_wp x == interp_as_wp (Return x))
let interp_ret' x = assert_norm (return_wp x == interp_as_wp (Return x))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 72, "end_line": 105, "start_col": 0, "start_line": 105 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
x: a -> FStar.Pervasives.Lemma (ensures AlgWP.return_wp x == AlgWP.interp_as_wp (Alg.Return x))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Pervasives.assert_norm", "Prims.eq2", "AlgWP.st_wp", "AlgWP.return_wp", "AlgWP.interp_as_wp", "Alg.Return", "Prims.unit" ]
[]
true
false
true
false
false
let interp_ret' x =
assert_norm (return_wp x == interp_as_wp (Return x))
false
AlgWP.fst
AlgWP.repr
val repr : a: Type -> l: AlgWP.rwops -> w: AlgWP.st_wp a -> Type
let repr (a : Type) (l : rwops) (w: st_wp a) = c:(rwtree a l){w `stronger` interp_as_wp c}
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 90, "end_line": 183, "start_col": 0, "start_line": 183 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> l: AlgWP.rwops -> w: AlgWP.st_wp a -> Type
Prims.Tot
[ "total" ]
[]
[ "AlgWP.rwops", "AlgWP.st_wp", "AlgWP.rwtree", "AlgWP.stronger", "AlgWP.interp_as_wp" ]
[]
false
false
false
true
true
let repr (a: Type) (l: rwops) (w: st_wp a) =
c: (rwtree a l){w `stronger` (interp_as_wp c)}
false
AlgWP.fst
AlgWP.bind
val bind (a b: Type) (#l1: rwops) (#wp_v: st_wp a) (#l2: rwops) (#wp_f: (a -> st_wp b)) (v: repr a l1 wp_v) (f: (x: a -> repr b l2 (wp_f x))) : repr b (l1 @@ l2) (bind_wp wp_v wp_f)
val bind (a b: Type) (#l1: rwops) (#wp_v: st_wp a) (#l2: rwops) (#wp_f: (a -> st_wp b)) (v: repr a l1 wp_v) (f: (x: a -> repr b l2 (wp_f x))) : repr b (l1 @@ l2) (bind_wp wp_v wp_f)
let bind (a : Type) (b : Type) (#l1 : rwops) (#wp_v : st_wp a) (#l2 : rwops) (#wp_f: a -> st_wp b) (v : repr a l1 wp_v) (f : (x:a -> repr b l2 (wp_f x))) : repr b (l1@@l2) (bind_wp wp_v wp_f) = interp_bind v f wp_v wp_f; tbind v f
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 13, "end_line": 195, "start_col": 0, "start_line": 189 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> b: Type -> v: AlgWP.repr a l1 wp_v -> f: (x: a -> AlgWP.repr b l2 (wp_f x)) -> AlgWP.repr b (l1 @@ l2) (AlgWP.bind_wp wp_v wp_f)
Prims.Tot
[ "total" ]
[]
[ "AlgWP.rwops", "AlgWP.st_wp", "AlgWP.repr", "AlgWP.tbind", "Prims.unit", "AlgWP.interp_bind", "AlgWP.op_At_At", "AlgWP.bind_wp" ]
[]
false
false
false
false
false
let bind (a b: Type) (#l1: rwops) (#wp_v: st_wp a) (#l2: rwops) (#wp_f: (a -> st_wp b)) (v: repr a l1 wp_v) (f: (x: a -> repr b l2 (wp_f x))) : repr b (l1 @@ l2) (bind_wp wp_v wp_f) =
interp_bind v f wp_v wp_f; tbind v f
false
Pulse.Checker.Prover.ElimExists.fst
Pulse.Checker.Prover.ElimExists.elim_exists_frame
val elim_exists_frame (#g: env) (#ctxt #frame: vprop) (ctxt_frame_typing: tot_typing g (ctxt * frame) tm_vprop) (uvs: env{disjoint uvs g}) : T.Tac (g': env{env_extends g' g /\ disjoint uvs g'} & ctxt': term & tot_typing g' (ctxt' * frame) tm_vprop & continuation_elabora...
val elim_exists_frame (#g: env) (#ctxt #frame: vprop) (ctxt_frame_typing: tot_typing g (ctxt * frame) tm_vprop) (uvs: env{disjoint uvs g}) : T.Tac (g': env{env_extends g' g /\ disjoint uvs g'} & ctxt': term & tot_typing g' (ctxt' * frame) tm_vprop & continuation_elabora...
let elim_exists_frame (#g:env) (#ctxt #frame:vprop) (ctxt_frame_typing:tot_typing g (ctxt * frame) tm_vprop) (uvs:env { disjoint uvs g }) : T.Tac (g':env { env_extends g' g /\ disjoint uvs g' } & ctxt':term & tot_typing g' (ctxt' * frame) tm_vprop & continuation_elaborator g (ctxt...
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.ElimExists.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 55, "end_line": 58, "start_col": 0, "start_line": 51 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.Combinators.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.Checker.VPropEquiv.fsti.checked", "Pulse.Checker.Prover.Base.fsti.checked", "prims.fst.checked", "FStar....
[ { "abbrev": false, "full_module": "Pulse.Checker.Prover.Base", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.VPropEquiv", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": ...
{ "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_el...
false
ctxt_frame_typing: Pulse.Typing.tot_typing g (ctxt * frame) Pulse.Syntax.Base.tm_vprop -> uvs: Pulse.Typing.Env.env{Pulse.Typing.Env.disjoint uvs g} -> FStar.Tactics.Effect.Tac (FStar.Pervasives.dtuple4 (g': Pulse.Typing.Env.env {Pulse.Typing.Env.env_extends g' g /\ Pulse.Typing.Env...
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Typing.Env.env", "Pulse.Syntax.Base.vprop", "Pulse.Typing.tot_typing", "Pulse.Checker.Prover.Base.op_Star", "Pulse.Syntax.Base.tm_vprop", "Pulse.Typing.Env.disjoint", "Pulse.Checker.Prover.Base.add_elims", "Pulse.Checker.Prover.ElimExists.should_elim_exists", "Pulse.Checker.Prover.ElimExists....
[]
false
true
false
false
false
let elim_exists_frame (#g: env) (#ctxt #frame: vprop) (ctxt_frame_typing: tot_typing g (ctxt * frame) tm_vprop) (uvs: env{disjoint uvs g}) : T.Tac (g': env{env_extends g' g /\ disjoint uvs g'} & ctxt': term & tot_typing g' (ctxt' * frame) tm_vprop & continuation_elabora...
add_elims should_elim_exists mk ctxt_frame_typing uvs
false
AlgWP.fst
AlgWP.subcomp
val subcomp (a: Type) (#l1: rwops) (#w1: st_wp a) (#l2: rwops) (#w2: st_wp a) (f: repr a l1 w1) : Pure (repr a l2 w2) (requires w2 `stronger` w1 /\ l1 `subops` l2) (ensures fun _ -> True)
val subcomp (a: Type) (#l1: rwops) (#w1: st_wp a) (#l2: rwops) (#w2: st_wp a) (f: repr a l1 w1) : Pure (repr a l2 w2) (requires w2 `stronger` w1 /\ l1 `subops` l2) (ensures fun _ -> True)
let subcomp (a:Type) (#l1 : rwops) (#w1 : st_wp a) (#l2 : rwops) (#w2: st_wp a) (f : repr a l1 w1) : Pure (repr a l2 w2) (requires w2 `stronger` w1 /\ l1 `subops` l2) (ensures fun _ -> True) = f
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 202, "start_col": 0, "start_line": 197 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> f: AlgWP.repr a l1 w1 -> Prims.Pure (AlgWP.repr a l2 w2)
Prims.Pure
[]
[]
[ "AlgWP.rwops", "AlgWP.st_wp", "AlgWP.repr", "Prims.l_and", "AlgWP.stronger", "AlgWP.subops", "Prims.l_True" ]
[]
false
false
false
false
false
let subcomp (a: Type) (#l1: rwops) (#w1: st_wp a) (#l2: rwops) (#w2: st_wp a) (f: repr a l1 w1) : Pure (repr a l2 w2) (requires w2 `stronger` w1 /\ l1 `subops` l2) (ensures fun _ -> True) =
f
false
AlgWP.fst
AlgWP.is_mono
val is_mono (#a: _) (w: st_wp a) : Type0
val is_mono (#a: _) (w: st_wp a) : Type0
let is_mono #a (w : st_wp a) : Type0 = forall s0 p1 p2. (forall x. p1 x ==> p2 x) ==> w s0 p1 ==> w s0 p2
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 105, "end_line": 274, "start_col": 0, "start_line": 274 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
w: AlgWP.st_wp a -> Type0
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Prims.l_Forall", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_imp" ]
[]
false
false
false
true
true
let is_mono #a (w: st_wp a) : Type0 =
forall s0 p1 p2. (forall x. p1 x ==> p2 x) ==> w s0 p1 ==> w s0 p2
false
AlgWP.fst
AlgWP.interp_monotonic
val interp_monotonic (#a #l: _) (c: rwtree a l) : Lemma (wp_is_monotonic (interp_as_wp c))
val interp_monotonic (#a #l: _) (c: rwtree a l) : Lemma (wp_is_monotonic (interp_as_wp c))
let rec interp_monotonic #a #l (c:rwtree a l) : Lemma (wp_is_monotonic (interp_as_wp c)) = match c with | Return x -> () | Op Read _ k -> let aux (x:state) : Lemma (wp_is_monotonic (interp_as_wp (k x))) = interp_monotonic #_ #l (k x) in Classical.forall_intro aux; bind_preserves_mon read_wp ...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 65, "end_line": 129, "start_col": 0, "start_line": 115 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
c: AlgWP.rwtree a l -> FStar.Pervasives.Lemma (ensures AlgWP.wp_is_monotonic (AlgWP.interp_as_wp c))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Alg.ops", "Alg.sublist", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.rwtree", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.bind_preserves_mon", "Alg.state", "AlgWP.read_wp", "AlgWP.interp_as_wp", "AlgWP.st_wp", "Prims.unit", "FStar.Classical.forall_intr...
[ "recursion" ]
false
false
true
false
false
let rec interp_monotonic #a #l (c: rwtree a l) : Lemma (wp_is_monotonic (interp_as_wp c)) =
match c with | Return x -> () | Op Read _ k -> let aux (x: state) : Lemma (wp_is_monotonic (interp_as_wp (k x))) = interp_monotonic #_ #l (k x) in Classical.forall_intro aux; bind_preserves_mon read_wp (fun x -> interp_as_wp (k x)) | Op Write s k -> let aux (x: unit) : Lemma (wp_is_monotonic (interp_as_wp...
false
AlgWP.fst
AlgWP.is_ro
val is_ro (#a: _) (w: st_wp a) : Type0
val is_ro (#a: _) (w: st_wp a) : Type0
let is_ro #a (w : st_wp a) : Type0 = quotient_ro w `stronger` w
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 28, "end_line": 277, "start_col": 0, "start_line": 276 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
w: AlgWP.st_wp a -> Type0
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "AlgWP.stronger", "AlgWP.quotient_ro" ]
[]
false
false
false
true
true
let is_ro #a (w: st_wp a) : Type0 =
(quotient_ro w) `stronger` w
false
AlgWP.fst
AlgWP.lift_pure_wp
val lift_pure_wp (#a: Type) (wp: pure_wp a) : st_wp a
val lift_pure_wp (#a: Type) (wp: pure_wp a) : st_wp a
let lift_pure_wp (#a:Type) (wp : pure_wp a) : st_wp a = FStar.Monotonic.Pure.elim_pure_wp_monotonicity wp; fun s0 p -> wp (fun x -> p (x, s0))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 37, "end_line": 230, "start_col": 0, "start_line": 228 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
wp: Prims.pure_wp a -> AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "Prims.pure_wp", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.l_True", "FStar.Pervasives.Native.Mktuple2", "Prims.pure_pre", "Prims.unit", "FStar.Monotonic.Pure.elim_pure_wp_monotonicity", "AlgWP.st_wp" ]
[]
false
false
false
true
false
let lift_pure_wp (#a: Type) (wp: pure_wp a) : st_wp a =
FStar.Monotonic.Pure.elim_pure_wp_monotonicity wp; fun s0 p -> wp (fun x -> p (x, s0))
false
Pulse.Checker.Prover.ElimExists.fst
Pulse.Checker.Prover.ElimExists.elim_exists
val elim_exists (#g:env) (#ctxt:term) (ctxt_typing:tot_typing g ctxt tm_vprop) : T.Tac (g':env { env_extends g' g } & ctxt':term & tot_typing g' ctxt' tm_vprop & continuation_elaborator g ctxt g' ctxt')
val elim_exists (#g:env) (#ctxt:term) (ctxt_typing:tot_typing g ctxt tm_vprop) : T.Tac (g':env { env_extends g' g } & ctxt':term & tot_typing g' ctxt' tm_vprop & continuation_elaborator g ctxt g' ctxt')
let elim_exists (#g:env) (#ctxt:term) (ctxt_typing:tot_typing g ctxt tm_vprop) : T.Tac (g':env { env_extends g' g } & ctxt':term & tot_typing g' ctxt' tm_vprop & continuation_elaborator g ctxt g' ctxt') = let ctxt_emp_typing : tot_typing g (tm_star ctxt tm_emp) tm_vprop = RU.magi...
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.ElimExists.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 62, "end_line": 72, "start_col": 0, "start_line": 60 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.Combinators.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.Checker.VPropEquiv.fsti.checked", "Pulse.Checker.Prover.Base.fsti.checked", "prims.fst.checked", "FStar....
[ { "abbrev": false, "full_module": "Pulse.Checker.Prover.Base", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.VPropEquiv", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": ...
{ "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_el...
false
ctxt_typing: Pulse.Typing.tot_typing g ctxt Pulse.Syntax.Base.tm_vprop -> FStar.Tactics.Effect.Tac (FStar.Pervasives.dtuple4 (g': Pulse.Typing.Env.env{Pulse.Typing.Env.env_extends g' g}) (fun _ -> Pulse.Syntax.Base.term) (fun g' ctxt' -> Pulse.Typing.tot_typing g' ctxt' Pulse.Syntax.Base.tm_vprop)...
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Typing.Env.env", "Pulse.Syntax.Base.term", "Pulse.Typing.tot_typing", "Pulse.Syntax.Base.tm_vprop", "Prims.l_and", "Pulse.Typing.Env.env_extends", "Pulse.Typing.Env.disjoint", "Pulse.Typing.Env.mk_env", "Pulse.Typing.Env.fstar_env", "Pulse.Checker.Prover.Base.op_Star", "Pulse.Syntax.Base....
[]
false
true
false
false
false
let elim_exists (#g: env) (#ctxt: term) (ctxt_typing: tot_typing g ctxt tm_vprop) : T.Tac (g': env{env_extends g' g} & ctxt': term & tot_typing g' ctxt' tm_vprop & continuation_elaborator g ctxt g' ctxt') =
let ctxt_emp_typing:tot_typing g (tm_star ctxt tm_emp) tm_vprop = RU.magic () in let (| g' , ctxt' , ctxt'_emp_typing , k |) = elim_exists_frame ctxt_emp_typing (mk_env (fstar_env g)) in let k = k_elab_equiv k (VE_Trans _ _ _ _ (VE_Comm _ _ _) (VE_Unit _ _)) (VE_Trans _ _ _ _ (VE_Comm _ _ _) (VE_Unit _ _)) ...
false
AlgWP.fst
AlgWP.get
val get: Prims.unit -> AlgWP state [Read] read_wp
val get: Prims.unit -> AlgWP state [Read] read_wp
let get () : AlgWP state [Read] read_wp = AlgWP?.reflect (Op Read () Return)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 222, "start_col": 0, "start_line": 221 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
_: Prims.unit -> AlgWP.AlgWP Alg.state
AlgWP.AlgWP
[]
[]
[ "Prims.unit", "Alg.Op", "Alg.state", "Alg.Read", "Alg.Return", "Prims.Cons", "Alg.op", "Prims.Nil", "AlgWP.read_wp" ]
[]
false
true
false
false
false
let get () : AlgWP state [Read] read_wp =
AlgWP?.reflect (Op Read () Return)
false
AlgWP.fst
AlgWP.return
val return (a: Type) (x: a) : repr a noops (return_wp x)
val return (a: Type) (x: a) : repr a noops (return_wp x)
let return (a:Type) (x:a) : repr a noops (return_wp x) = interp_ret #_ #[] x; Return x
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 10, "end_line": 187, "start_col": 0, "start_line": 185 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> x: a -> AlgWP.repr a AlgWP.noops (AlgWP.return_wp x)
Prims.Tot
[ "total" ]
[]
[ "Alg.Return", "Prims.unit", "AlgWP.interp_ret", "Prims.Nil", "Alg.op", "AlgWP.repr", "AlgWP.noops", "AlgWP.return_wp" ]
[]
false
false
false
false
false
let return (a: Type) (x: a) : repr a noops (return_wp x) =
interp_ret #_ #[] x; Return x
false
AlgWP.fst
AlgWP.interp_bind
val interp_bind (#a #b:Type) (#l1 #l2 : rwops) (c : rwtree a l1) (f : a -> rwtree b l2) (w1 : st_wp a) (w2 : a -> st_wp b) : Lemma (requires w1 <<= interp_as_wp c /\ (forall x. w2 x <<= interp_as_wp (f x))) (ensures bind_wp w1 w2 `stronger` interp_as_wp (tbind c f))
val interp_bind (#a #b:Type) (#l1 #l2 : rwops) (c : rwtree a l1) (f : a -> rwtree b l2) (w1 : st_wp a) (w2 : a -> st_wp b) : Lemma (requires w1 <<= interp_as_wp c /\ (forall x. w2 x <<= interp_as_wp (f x))) (ensures bind_wp w1 w2 `stronger` interp_as_wp (tbind c f))
let interp_bind #a #b c f w1 w2 = let aux (p: (b & state -> Type0)) (s0:state) : Lemma (bind_wp w1 w2 s0 p ==> interp_as_wp (tbind c f) s0 p) = calc (==>) { bind_wp w1 w2 s0 p; ==> {} w1 s0 (fun (y, s1) -> w2 y s1 p); ==> { (* hyp *)} interp_as_wp c s0 (fun (y, s1) -> w2 y s1 p); ...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 181, "start_col": 0, "start_line": 167 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
c: AlgWP.rwtree a l1 -> f: (_: a -> AlgWP.rwtree b l2) -> w1: AlgWP.st_wp a -> w2: (_: a -> AlgWP.st_wp b) -> FStar.Pervasives.Lemma (requires w1 <<= AlgWP.interp_as_wp c /\ (forall (x: a). w2 x <<= AlgWP.interp_as_wp (f x))) (ensures AlgWP.stronger (AlgWP.bind_wp w1 w2) (AlgWP.interp_as_...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "AlgWP.rwops", "AlgWP.rwtree", "AlgWP.st_wp", "FStar.Classical.forall_intro_2", "FStar.Pervasives.Native.tuple2", "Alg.state", "Prims.l_imp", "AlgWP.bind_wp", "AlgWP.interp_as_wp", "AlgWP.tbind", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern", "FS...
[]
false
false
true
false
false
let interp_bind #a #b c f w1 w2 =
let aux (p: ((b & state) -> Type0)) (s0: state) : Lemma (bind_wp w1 w2 s0 p ==> interp_as_wp (tbind c f) s0 p) = calc ( ==> ) { bind_wp w1 w2 s0 p; ( ==> ) { () } w1 s0 (fun (y, s1) -> w2 y s1 p); ( ==> ) { () } interp_as_wp c s0 (fun (y, s1) -> w2 y s1 p); ( ==> ) { interp_monotonic c } ...
false
Pulse.Recursion.fst
Pulse.Recursion.freshen_binders
val freshen_binders (bs: binders) : Tot binders (decreases length bs)
val freshen_binders (bs: binders) : Tot binders (decreases length bs)
let rec freshen_binders (bs:binders) : Tot binders (decreases length bs) = match bs with | [] -> [] | b::bs -> let b' = freshen_binder b in let bs = map (subst_binder_typ [Stubs.Syntax.Syntax.NT (binder_to_namedv b |> FStar.Stubs.Reflection.V2.Builtins.pack_namedv) ...
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 28, "end_line": 70, "start_col": 0, "start_line": 63 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
bs: FStar.Tactics.NamedView.binders -> Prims.Tot FStar.Tactics.NamedView.binders
Prims.Tot
[ "total", "" ]
[]
[ "FStar.Tactics.NamedView.binders", "Prims.Nil", "FStar.Tactics.NamedView.binder", "Prims.list", "Prims.Cons", "Pulse.Recursion.freshen_binders", "FStar.List.Tot.Base.map", "Pulse.Recursion.subst_binder_typ", "FStar.Stubs.Syntax.Syntax.subst_elt", "FStar.Stubs.Syntax.Syntax.NT", "FStar.Stubs.Refl...
[ "recursion" ]
false
false
false
true
false
let rec freshen_binders (bs: binders) : Tot binders (decreases length bs) =
match bs with | [] -> [] | b :: bs -> let b' = freshen_binder b in let bs = map (subst_binder_typ [ Stubs.Syntax.Syntax.NT (binder_to_namedv b |> FStar.Stubs.Reflection.V2.Builtins.pack_namedv) (binder_to_term b') ]) bs in b' :: freshen_binders bs
false
Pulse.Recursion.fst
Pulse.Recursion.splitlast
val splitlast (#a: _) (l: list a) : Tac (list a & a)
val splitlast (#a: _) (l: list a) : Tac (list a & a)
let rec splitlast #a (l : list a) : Tac (list a & a) = match l with | [] -> raise Splitlast_empty | [x] -> [], x | x::xs -> let init, last = splitlast xs in x::init, last
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 17, "end_line": 38, "start_col": 0, "start_line": 32 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
l: Prims.list a -> FStar.Tactics.Effect.Tac (Prims.list a * a)
FStar.Tactics.Effect.Tac
[]
[]
[ "Prims.list", "FStar.Tactics.Effect.raise", "FStar.Pervasives.Native.tuple2", "Pulse.Recursion.Splitlast_empty", "FStar.Pervasives.Native.Mktuple2", "Prims.Nil", "Prims.Cons", "Pulse.Recursion.splitlast" ]
[ "recursion" ]
false
true
false
false
false
let rec splitlast #a (l: list a) : Tac (list a & a) =
match l with | [] -> raise Splitlast_empty | [x] -> [], x | x :: xs -> let init, last = splitlast xs in x :: init, last
false
Pulse.Recursion.fst
Pulse.Recursion.elab_b
val elab_b (qbv: option qualifier & binder & bv) : Tot Tactics.NamedView.binder
val elab_b (qbv: option qualifier & binder & bv) : Tot Tactics.NamedView.binder
let elab_b (qbv : option qualifier & binder & bv) : Tot Tactics.NamedView.binder = let q, b, bv = qbv in { uniq = bv.bv_index; ppname = b.binder_ppname.name; sort = elab_term b.binder_ty; qual = elab_qual q; attrs = []; }
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 3, "end_line": 80, "start_col": 0, "start_line": 72 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
qbv: ((FStar.Pervasives.Native.option Pulse.Syntax.Base.qualifier * Pulse.Syntax.Base.binder) * Pulse.Syntax.Base.bv) -> FStar.Tactics.NamedView.binder
Prims.Tot
[ "total" ]
[]
[ "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.option", "Pulse.Syntax.Base.qualifier", "Pulse.Syntax.Base.binder", "Pulse.Syntax.Base.bv", "FStar.Tactics.NamedView.Mkbinder", "Pulse.Syntax.Base.__proj__Mkbv__item__bv_index", "Pulse.Syntax.Base.__proj__Mkppname__item__name", "Pulse.Syntax...
[]
false
false
false
true
false
let elab_b (qbv: option qualifier & binder & bv) : Tot Tactics.NamedView.binder =
let q, b, bv = qbv in { uniq = bv.bv_index; ppname = b.binder_ppname.name; sort = elab_term b.binder_ty; qual = elab_qual q; attrs = [] }
false
Pulse.Recursion.fst
Pulse.Recursion.tie_knot
val tie_knot (g : env) (rng : R.range) (nm_orig : string) (nm_aux : string) (d : decl) (r_typ : R.term) (blob:RT.blob) : Tac (list (RT.sigelt_for (fstar_env g)))
val tie_knot (g : env) (rng : R.range) (nm_orig : string) (nm_aux : string) (d : decl) (r_typ : R.term) (blob:RT.blob) : Tac (list (RT.sigelt_for (fstar_env g)))
let tie_knot (g : env) (rng : R.range) (nm_orig nm_aux : string) (d : decl) (r_typ : R.typ) (blob:RT.blob) : Tac (list (RT.sigelt_for (fstar_env g))) = let knot_r_typ = (* Remove the last arguments from r_typ, as that is the recursive knot. After doing that, we now have the needed t...
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 22, "end_line": 226, "start_col": 0, "start_line": 207 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": true, "full_m...
{ "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_el...
false
g: Pulse.Typing.Env.env -> rng: FStar.Range.range -> nm_orig: Prims.string -> nm_aux: Prims.string -> d: Pulse.Syntax.Base.decl -> r_typ: FStar.Stubs.Reflection.Types.term -> blob: FStar.Reflection.Typing.blob -> FStar.Tactics.Effect.Tac (Prims.list (FStar.Reflection.Typing.sigelt_for...
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Typing.Env.env", "FStar.Range.range", "Prims.string", "Pulse.Syntax.Base.decl", "FStar.Stubs.Reflection.Types.typ", "FStar.Reflection.Typing.blob", "Prims.bool", "FStar.Stubs.Reflection.Types.sigelt", "FStar.Pervasives.Native.option", "Prims.Cons", "FStar.Reflection.Typing.sigelt_for", ...
[]
false
true
false
false
false
let tie_knot (g: env) (rng: R.range) (nm_orig nm_aux: string) (d: decl) (r_typ: R.typ) (blob: RT.blob) : Tac (list (RT.sigelt_for (fstar_env g))) =
let knot_r_typ = let bs, c = collect_arr_bs r_typ in if Nil? bs then fail g (Some rng) "tie_knot: impossible (1)"; let bs = init bs in if Nil? bs then fail g (Some rng) "tie_knot: impossible (2)"; mk_arr bs c in let flag, sig, _ = RT.mk_unchecked_let (fstar_env g) nm_orig (`(magic ())) knot_r_typ in let nm = ...
false
AlgWP.fst
AlgWP.lift_pure_algwp
val lift_pure_algwp (a: Type) (wp: _) (f: (unit -> PURE a wp)) : Pure (repr a noops (lift_pure_wp wp)) (requires (wp (fun _ -> True))) (ensures (fun _ -> True))
val lift_pure_algwp (a: Type) (wp: _) (f: (unit -> PURE a wp)) : Pure (repr a noops (lift_pure_wp wp)) (requires (wp (fun _ -> True))) (ensures (fun _ -> True))
let lift_pure_algwp (a:Type) wp (f:unit -> PURE a wp) : Pure (repr a noops (lift_pure_wp wp)) // can't call f() here, so lift its wp instead (requires (wp (fun _ -> True))) (ensures (fun _ -> True)) = let v : a = FStar.Monotonic.Pure.elim_pure f (fun _ -> True) in FStar.Monotonic.Pure.elim...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 12, "end_line": 241, "start_col": 0, "start_line": 232 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
a: Type -> wp: Prims.pure_wp a -> f: (_: Prims.unit -> Prims.PURE a) -> Prims.Pure (AlgWP.repr a AlgWP.noops (AlgWP.lift_pure_wp wp))
Prims.Pure
[]
[]
[ "Prims.pure_wp", "Prims.unit", "Alg.Return", "FStar.Pervasives.assert_norm", "AlgWP.stronger", "AlgWP.lift_pure_wp", "AlgWP.return_wp", "Prims._assert", "Prims.l_Forall", "Prims.l_imp", "FStar.Monotonic.Pure.elim_pure_wp_monotonicity", "FStar.Monotonic.Pure.elim_pure", "Prims.l_True", "Alg...
[]
false
false
false
false
false
let lift_pure_algwp (a: Type) wp (f: (unit -> PURE a wp)) : Pure (repr a noops (lift_pure_wp wp)) (requires (wp (fun _ -> True))) (ensures (fun _ -> True)) =
let v:a = FStar.Monotonic.Pure.elim_pure f (fun _ -> True) in FStar.Monotonic.Pure.elim_pure_wp_monotonicity wp; assert (forall p. wp p ==> p v); assert_norm (stronger (lift_pure_wp wp) (return_wp v)); Return v
false
Pulse.Recursion.fst
Pulse.Recursion.freshen_binder
val freshen_binder (b: T.binder) : T.binder
val freshen_binder (b: T.binder) : T.binder
let freshen_binder (b:T.binder) : T.binder = { b with uniq = 10000 + b.uniq ; ppname = map_seal b.ppname (fun s -> s ^ "'") }
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 58, "end_line": 58, "start_col": 0, "start_line": 56 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "Pulse.Typing", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Syntax", "short_module": null }, { "abbrev": false, "full_module"...
{ "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_el...
false
b: FStar.Tactics.NamedView.binder -> FStar.Tactics.NamedView.binder
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.NamedView.binder", "FStar.Tactics.NamedView.Mkbinder", "Prims.op_Addition", "FStar.Tactics.NamedView.__proj__Mkbinder__item__uniq", "FStar.Sealed.map_seal", "Prims.string", "FStar.Tactics.NamedView.__proj__Mkbinder__item__ppname", "Prims.op_Hat", "FStar.Tactics.NamedView.__proj__Mkbin...
[]
false
false
false
true
false
let freshen_binder (b: T.binder) : T.binder =
{ b with uniq = 10000 + b.uniq; ppname = map_seal b.ppname (fun s -> s ^ "'") }
false
AlgWP.fst
AlgWP.quotient_ro
val quotient_ro (#a: _) (w: st_wp a) : st_wp a
val quotient_ro (#a: _) (w: st_wp a) : st_wp a
let quotient_ro #a (w : st_wp a) : st_wp a = fun s0 p -> w s0 (fun (y, s1) -> s0 == s1 ==> p (y, s1))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 58, "end_line": 272, "start_col": 0, "start_line": 271 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
w: AlgWP.st_wp a -> AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_imp", "Prims.eq2", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
false
false
true
false
let quotient_ro #a (w: st_wp a) : st_wp a =
fun s0 p -> w s0 (fun (y, s1) -> s0 == s1 ==> p (y, s1))
false
AlgWP.fst
AlgWP.put
val put (s: state) : AlgWP unit [Write] (write_wp s)
val put (s: state) : AlgWP unit [Write] (write_wp s)
let put (s:state) : AlgWP unit [Write] (write_wp s) = AlgWP?.reflect (Op Write s Return)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 225, "start_col": 0, "start_line": 224 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
s: Alg.state -> AlgWP.AlgWP Prims.unit
AlgWP.AlgWP
[]
[]
[ "Alg.state", "Alg.Op", "Prims.unit", "Alg.Write", "Alg.Return", "Prims.Cons", "Alg.op", "Prims.Nil", "AlgWP.write_wp" ]
[]
false
true
false
false
false
let put (s: state) : AlgWP unit [Write] (write_wp s) =
AlgWP?.reflect (Op Write s Return)
false
AlgWP.fst
AlgWP.addx
val addx (x: int) : AlgWP unit [Read; Write] (fun s0 p -> p ((), (s0 + x)))
val addx (x: int) : AlgWP unit [Read; Write] (fun s0 p -> p ((), (s0 + x)))
let addx (x:int) : AlgWP unit [Read; Write] (fun s0 p -> p ((), (s0+x))) = let y = get () in put (x+y)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 11, "end_line": 247, "start_col": 0, "start_line": 245 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
x: Prims.int -> AlgWP.AlgWP Prims.unit
AlgWP.AlgWP
[]
[]
[ "Prims.int", "AlgWP.put", "Prims.op_Addition", "Prims.unit", "Alg.state", "AlgWP.get", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2" ]
[]
false
true
false
false
false
let addx (x: int) : AlgWP unit [Read; Write] (fun s0 p -> p ((), (s0 + x))) =
let y = get () in put (x + y)
false
Pulse.Checker.Prover.ElimExists.fst
Pulse.Checker.Prover.ElimExists.mk
val mk (#g: env) (#v: vprop) (v_typing: tot_typing g v tm_vprop) : T.Tac (option (x: ppname & t: st_term & c: comp{stateful_comp c /\ comp_pre c == v} & st_typing g t c) )
val mk (#g: env) (#v: vprop) (v_typing: tot_typing g v tm_vprop) : T.Tac (option (x: ppname & t: st_term & c: comp{stateful_comp c /\ comp_pre c == v} & st_typing g t c) )
let mk (#g:env) (#v:vprop) (v_typing:tot_typing g v tm_vprop) : T.Tac (option (x:ppname & t:st_term & c:comp { stateful_comp c /\ comp_pre c == v } & st_typing g t c)) = match v.t with | Tm_ExistsSL u { binder_ppname=nm; binder_ty = t } p -> let x = fr...
{ "file_name": "lib/steel/pulse/Pulse.Checker.Prover.ElimExists.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 13, "end_line": 49, "start_col": 0, "start_line": 35 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.Combinators.fsti.checked", "Pulse.Typing.fst.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.Checker.VPropEquiv.fsti.checked", "Pulse.Checker.Prover.Base.fsti.checked", "prims.fst.checked", "FStar....
[ { "abbrev": false, "full_module": "Pulse.Checker.Prover.Base", "short_module": null }, { "abbrev": false, "full_module": "Pulse.Checker.VPropEquiv", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": ...
{ "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_el...
false
v_typing: Pulse.Typing.tot_typing g v Pulse.Syntax.Base.tm_vprop -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option (FStar.Pervasives.dtuple4 Pulse.Syntax.Base.ppname (fun _ -> Pulse.Syntax.Base.st_term) (fun _ _ -> c: Pulse.Syntax.Base.comp ...
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Typing.Env.env", "Pulse.Syntax.Base.vprop", "Pulse.Typing.tot_typing", "Pulse.Syntax.Base.tm_vprop", "Pulse.Syntax.Base.__proj__Mkterm__item__t", "Pulse.Syntax.Base.universe", "Pulse.Syntax.Base.term", "Pulse.Syntax.Base.ppname", "FStar.Sealed.Inhabited.sealed", "Prims.list", "Prims.Nil",...
[]
false
true
false
false
false
let mk (#g: env) (#v: vprop) (v_typing: tot_typing g v tm_vprop) : T.Tac (option (x: ppname & t: st_term & c: comp{stateful_comp c /\ comp_pre c == v} & st_typing g t c) ) =
match v.t with | Tm_ExistsSL u { binder_ppname = nm ; binder_ty = t } p -> let x = fresh g in let c = Pulse.Typing.comp_elim_exists u t p (nm, x) in let tm_typing:st_typing g _ c = T_ElimExists g (comp_u c) t p x (RU.magic ()) (RU.magic ()) in Some (| nm, _, c, tm_typing |) | _ -> None
false
AlgWP.fst
AlgWP.null_ro
val null_ro (#a: _) : st_wp a
val null_ro (#a: _) : st_wp a
let null_ro #a : st_wp a = quotient_ro null
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 43, "end_line": 358, "start_col": 0, "start_line": 358 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "AlgWP.quotient_ro", "AlgWP.null", "AlgWP.st_wp" ]
[]
false
false
false
true
false
let null_ro #a : st_wp a =
quotient_ro null
false
AlgWP.fst
AlgWP.st_soundness_aux
val st_soundness_aux (#a #wp: _) (t: repr a [Read; Write] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0)))
val st_soundness_aux (#a #wp: _) (t: repr a [Read; Write] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0)))
let st_soundness_aux #a #wp (t : repr a [Read; Write] wp) : Tot (s0:state -> ID5.ID (a & state) (as_pure_wp (wp s0))) = interp_sem t
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 16, "end_line": 293, "start_col": 0, "start_line": 291 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: AlgWP.repr a [Alg.Read; Alg.Write] wp -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.st_wp", "AlgWP.repr", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.interp_sem", "Alg.state", "FStar.Pervasives.Native.tuple2", "FStar.Monotonic.Pure.as_pure_wp" ]
[]
false
true
false
false
false
let st_soundness_aux #a #wp (t: repr a [Read; Write] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0))) =
interp_sem t
false
AlgWP.fst
AlgWP.sanity_1
val sanity_1 : Prims.unit
let sanity_1 = assert (forall s0 p. quotient_ro read_wp s0 p <==> read_wp s0 p)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 79, "end_line": 279, "start_col": 0, "start_line": 279 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
Prims.unit
Prims.Tot
[ "total" ]
[]
[ "Prims._assert", "Prims.l_Forall", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.l_iff", "AlgWP.quotient_ro", "AlgWP.read_wp" ]
[]
false
false
false
true
false
let sanity_1 =
assert (forall s0 p. quotient_ro read_wp s0 p <==> read_wp s0 p)
false
AlgWP.fst
AlgWP.add_via_state
val add_via_state (x y: int) : AlgWP int [Read; Write] (fun s0 p -> p ((x + y), s0))
val add_via_state (x y: int) : AlgWP int [Read; Write] (fun s0 p -> p ((x + y), s0))
let add_via_state (x y : int) : AlgWP int [Read;Write] (fun s0 p -> p ((x+y), s0)) = let o = get () in put x; addx y; let r = get () in put o; r
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 3, "end_line": 258, "start_col": 0, "start_line": 252 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics.V2", "short_module": "T" }, { "abbrev": true, "full_module": "FStar.WellFounded", ...
{ "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_el...
false
x: Prims.int -> y: Prims.int -> AlgWP.AlgWP Prims.int
AlgWP.AlgWP
[]
[]
[ "Prims.int", "Prims.unit", "AlgWP.put", "Alg.state", "AlgWP.get", "AlgWP.addx", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.Mktuple2", "Prims.op_Addition" ]
[]
false
true
false
false
false
let add_via_state (x y: int) : AlgWP int [Read; Write] (fun s0 p -> p ((x + y), s0)) =
let o = get () in put x; addx y; let r = get () in put o; r
false
AlgWP.fst
AlgWP.sanity_2
val sanity_2 : Prims.unit
let sanity_2 = assert (forall s0 p s1. p ((), s0) ==> quotient_ro (write_wp s1) s0 p)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 85, "end_line": 280, "start_col": 0, "start_line": 280 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
Prims.unit
Prims.Tot
[ "total" ]
[]
[ "Prims._assert", "Prims.l_Forall", "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.unit", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2", "AlgWP.quotient_ro", "AlgWP.write_wp" ]
[]
false
false
false
true
false
let sanity_2 =
assert (forall s0 p s1. p ((), s0) ==> quotient_ro (write_wp s1) s0 p)
false
AlgWP.fst
AlgWP.st_soundness
val st_soundness (#a #wp: _) (t: (unit -> AlgWP a [Read; Write] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0)))
val st_soundness (#a #wp: _) (t: (unit -> AlgWP a [Read; Write] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0)))
let st_soundness #a #wp (t : unit -> AlgWP a [Read; Write] wp) : Tot (s0:state -> ID5.ID (a & state) (as_pure_wp (wp s0))) = st_soundness_aux (reify (t ()))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 297, "start_col": 0, "start_line": 295 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: (_: Prims.unit -> AlgWP.AlgWP a) -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.st_wp", "Prims.unit", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "AlgWP.st_soundness_aux", "Alg.state", "FStar.Pervasives.Native.tuple2", "FStar.Monotonic.Pure.as_pure_wp" ]
[]
false
true
false
false
false
let st_soundness #a #wp (t: (unit -> AlgWP a [Read; Write] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (wp s0))) =
st_soundness_aux (reify (t ()))
false
AlgWP.fst
AlgWP.interp_sem
val interp_sem (#a: _) (t: rwtree a [Read; Write]) (s0: state) : ID5.ID (a & state) (as_pure_wp (interp_as_wp t s0))
val interp_sem (#a: _) (t: rwtree a [Read; Write]) (s0: state) : ID5.ID (a & state) (as_pure_wp (interp_as_wp t s0))
let rec interp_sem #a (t : rwtree a [Read; Write]) (s0:state) : ID5.ID (a & state) (as_pure_wp (interp_as_wp t s0)) = match t with | Return x -> (x, s0) | Op Read i k -> interp_sem (k s0) s0 | Op Write i k -> interp_sem (k ()) i
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 25, "end_line": 269, "start_col": 0, "start_line": 262 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: AlgWP.rwtree a [Alg.Read; Alg.Write] -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.rwtree", "Prims.Cons", "Alg.op", "Alg.Read", "Alg.Write", "Prims.Nil", "Alg.state", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple2", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.interp_sem", "FStar.Monotonic.Pure.as_pure_wp", "AlgWP.interp_as_wp" ]
[ "recursion" ]
false
true
false
false
false
let rec interp_sem #a (t: rwtree a [Read; Write]) (s0: state) : ID5.ID (a & state) (as_pure_wp (interp_as_wp t s0)) =
match t with | Return x -> (x, s0) | Op Read i k -> interp_sem (k s0) s0 | Op Write i k -> interp_sem (k ()) i
false
AlgWP.fst
AlgWP.ro_soundness
val ro_soundness (#a #wp: _) ($t: (unit -> AlgWP a [Read] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0)))
val ro_soundness (#a #wp: _) ($t: (unit -> AlgWP a [Read] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0)))
let ro_soundness #a #wp ($t : unit -> AlgWP a [Read] wp) : Tot (s0:state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0))) = ro_soundness_aux (reify (t ()))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 308, "start_col": 0, "start_line": 306 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
$t: (_: Prims.unit -> AlgWP.AlgWP a) -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.st_wp", "Prims.unit", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "AlgWP.ro_soundness_aux", "Alg.state", "FStar.Pervasives.Native.tuple2", "FStar.Monotonic.Pure.as_pure_wp", "AlgWP.quotient_ro" ]
[]
false
true
false
false
false
let ro_soundness #a #wp ($t: (unit -> AlgWP a [Read] wp)) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0))) =
ro_soundness_aux (reify (t ()))
false
AlgWP.fst
AlgWP.ro_soundness_aux
val ro_soundness_aux (#a #wp: _) ($t: repr a [Read] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0)))
val ro_soundness_aux (#a #wp: _) ($t: repr a [Read] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0)))
let ro_soundness_aux #a #wp ($t : repr a [Read] wp) : Tot (s0:state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0))) = interp_ro t
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 15, "end_line": 304, "start_col": 0, "start_line": 302 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
$t: AlgWP.repr a [Alg.Read] wp -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.st_wp", "AlgWP.repr", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "AlgWP.interp_ro", "Alg.state", "FStar.Pervasives.Native.tuple2", "FStar.Monotonic.Pure.as_pure_wp", "AlgWP.quotient_ro" ]
[]
false
true
false
false
false
let ro_soundness_aux #a #wp ($t: repr a [Read] wp) : Tot (s0: state -> ID5.ID (a & state) (as_pure_wp (quotient_ro wp s0))) =
interp_ro t
false
AlgWP.fst
AlgWP.interp_ro
val interp_ro (#a: _) (t: rwtree a [Read]) (s0: state) : ID5.ID (a & state) (as_pure_wp (quotient_ro (interp_as_wp t) s0))
val interp_ro (#a: _) (t: rwtree a [Read]) (s0: state) : ID5.ID (a & state) (as_pure_wp (quotient_ro (interp_as_wp t) s0))
let rec interp_ro #a (t : rwtree a [Read]) (s0:state) : ID5.ID (a & state) (as_pure_wp (quotient_ro (interp_as_wp t) s0)) = match t with | Return x -> (x, s0) | Op Read i k -> interp_ro (k s0) s0
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 25, "end_line": 288, "start_col": 0, "start_line": 283 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: AlgWP.rwtree a [Alg.Read] -> s0: Alg.state -> ID5.ID (a * Alg.state)
ID5.ID
[]
[]
[ "AlgWP.rwtree", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "Alg.state", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple2", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.interp_ro", "FStar.Monotonic.Pure.as_pure_wp", "AlgWP.quotient_ro", "AlgWP.interp_as_wp" ]
[ "recursion" ]
false
true
false
false
false
let rec interp_ro #a (t: rwtree a [Read]) (s0: state) : ID5.ID (a & state) (as_pure_wp (quotient_ro (interp_as_wp t) s0)) =
match t with | Return x -> (x, s0) | Op Read i k -> interp_ro (k s0) s0
false
AlgWP.fst
AlgWP.ro_soundness_pre_post
val ro_soundness_pre_post (#a #wp: _) (t: (unit -> AlgWP a [Read] wp)) (s0: state) : ID5.Id (a & state) (requires (wp s0 (fun _ -> True))) (ensures (fun (r, s1) -> s0 == s1))
val ro_soundness_pre_post (#a #wp: _) (t: (unit -> AlgWP a [Read] wp)) (s0: state) : ID5.Id (a & state) (requires (wp s0 (fun _ -> True))) (ensures (fun (r, s1) -> s0 == s1))
let ro_soundness_pre_post #a #wp (t : unit -> AlgWP a [Read] wp) (s0:state) : ID5.Id (a & state) (requires (wp s0 (fun _ -> True))) (ensures (fun (r, s1) -> s0 == s1)) = ro_soundness t s0
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 21, "end_line": 318, "start_col": 0, "start_line": 314 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: (_: Prims.unit -> AlgWP.AlgWP a) -> s0: Alg.state -> ID5.Id (a * Alg.state)
ID5.Id
[]
[]
[ "AlgWP.st_wp", "Prims.unit", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "Alg.state", "AlgWP.ro_soundness", "FStar.Pervasives.Native.tuple2", "Prims.l_True", "Prims.eq2" ]
[]
false
true
false
false
false
let ro_soundness_pre_post #a #wp (t: (unit -> AlgWP a [Read] wp)) (s0: state) : ID5.Id (a & state) (requires (wp s0 (fun _ -> True))) (ensures (fun (r, s1) -> s0 == s1)) =
ro_soundness t s0
false
AlgWP.fst
AlgWP.null_ro1
val null_ro1 (#a: _) : st_wp a
val null_ro1 (#a: _) : st_wp a
let null_ro1 #a : st_wp a = fun s0 p -> forall x. p (x, s0)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 59, "end_line": 359, "start_col": 0, "start_line": 359 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.l_Forall", "FStar.Pervasives.Native.Mktuple2", "Prims.logical", "AlgWP.st_wp" ]
[]
false
false
false
true
false
let null_ro1 #a : st_wp a =
fun s0 p -> forall x. p (x, s0)
false
Pulse.Recursion.fst
Pulse.Recursion.add_knot
val add_knot (g : env) (rng : R.range) (d : decl) : Tac decl
val add_knot (g : env) (rng : R.range) (d : decl) : Tac decl
let add_knot (g : env) (rng : R.range) (d : decl{FnDecl? d.d}) : Tac decl = let FnDecl { id; isrec; bs; comp; meas; body } = d.d in if Nil? bs then fail g (Some d.range) "main: FnDecl does not have binders"; (* NB: bs and comp are open *) let r_res = elab_comp comp in debug_main g (fun _ ...
{ "file_name": "lib/steel/pulse/Pulse.Recursion.fst", "git_rev": "f984200f79bdc452374ae994a5ca837496476c41", "git_url": "https://github.com/FStarLang/steel.git", "project_name": "steel" }
{ "end_col": 3, "end_line": 205, "start_col": 0, "start_line": 82 }
(* Copyright 2023 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...
{ "checked_file": "/", "dependencies": [ "Pulse.Typing.fst.checked", "Pulse.Syntax.Printer.fsti.checked", "Pulse.Syntax.fst.checked", "Pulse.RuntimeUtils.fsti.checked", "Pulse.PP.fst.checked", "prims.fst.checked", "FStar.Tactics.V2.SyntaxHelpers.fst.checked", "FStar.Tactics.V2.fst.ch...
[ { "abbrev": true, "full_module": "Pulse.Syntax.Printer", "short_module": "P" }, { "abbrev": false, "full_module": "FStar.List.Tot", "short_module": null }, { "abbrev": true, "full_module": "Pulse.RuntimeUtils", "short_module": "RU" }, { "abbrev": true, "full_m...
{ "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_el...
false
g: Pulse.Typing.Env.env -> rng: FStar.Range.range -> d: Pulse.Syntax.Base.decl -> FStar.Tactics.Effect.Tac Pulse.Syntax.Base.decl
FStar.Tactics.Effect.Tac
[]
[]
[ "Pulse.Typing.Env.env", "FStar.Range.range", "Pulse.Syntax.Base.decl", "Prims.b2t", "Pulse.Syntax.Base.uu___is_FnDecl", "Pulse.Syntax.Base.__proj__Mkdecl__item__d", "FStar.Stubs.Reflection.Types.ident", "Prims.bool", "Prims.list", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.option...
[]
false
true
false
false
false
let add_knot (g: env) (rng: R.range) (d: decl{FnDecl? d.d}) : Tac decl =
let FnDecl { id = id ; isrec = isrec ; bs = bs ; comp = comp ; meas = meas ; body = body } = d.d in if Nil? bs then fail g (Some d.range) "main: FnDecl does not have binders"; let r_res = elab_comp comp in debug_main g (fun _ -> Printf.sprintf "add_knot: bs = %s\n" (string_of_list (fun (_, b, _) -> P.bi...
false
AlgWP.fst
AlgWP.null_equiv_sanity
val null_equiv_sanity : a: Type -> Prims.unit
let null_equiv_sanity a = assert (null_ro #a `equiv` null_ro1 #a)
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 65, "end_line": 360, "start_col": 0, "start_line": 360 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
a: Type -> Prims.unit
Prims.Tot
[ "total" ]
[]
[ "Prims._assert", "AlgWP.equiv", "AlgWP.null_ro", "AlgWP.null_ro1", "Prims.unit" ]
[]
false
false
false
true
false
let null_equiv_sanity a =
assert ((null_ro #a) `equiv` (null_ro1 #a))
false
AlgWP.fst
AlgWP.quot_tree
val quot_tree (#a #wp: _) (c: repr a [Read] wp) : repr a [Read] (quotient_ro wp)
val quot_tree (#a #wp: _) (c: repr a [Read] wp) : repr a [Read] (quotient_ro wp)
let quot_tree #a #wp (c : repr a [Read] wp) : repr a [Read] (quotient_ro wp) = ro_tree_wp c; c
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 344, "start_col": 0, "start_line": 341 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
c: AlgWP.repr a [Alg.Read] wp -> AlgWP.repr a [Alg.Read] (AlgWP.quotient_ro wp)
Prims.Tot
[ "total" ]
[]
[ "AlgWP.st_wp", "AlgWP.repr", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "Prims.unit", "AlgWP.ro_tree_wp", "AlgWP.quotient_ro" ]
[]
false
false
false
false
false
let quot_tree #a #wp (c: repr a [Read] wp) : repr a [Read] (quotient_ro wp) =
ro_tree_wp c; c
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_abc_is_acb
val lemma_abc_is_acb (a b c:nat) : Lemma (a * b * c = a * c * b)
val lemma_abc_is_acb (a b c:nat) : Lemma (a * b * c = a * c * b)
let lemma_abc_is_acb a b c = Math.Lemmas.paren_mul_right a b c; Math.Lemmas.swap_mul b c; Math.Lemmas.paren_mul_right a c b
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 35, "end_line": 21, "start_col": 0, "start_line": 18 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Prims.nat -> b: Prims.nat -> c: Prims.nat -> FStar.Pervasives.Lemma (ensures (a * b) * c = (a * c) * b)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.nat", "FStar.Math.Lemmas.paren_mul_right", "Prims.unit", "FStar.Math.Lemmas.swap_mul" ]
[]
true
false
true
false
false
let lemma_abc_is_acb a b c =
Math.Lemmas.paren_mul_right a b c; Math.Lemmas.swap_mul b c; Math.Lemmas.paren_mul_right a c b
false
AlgWP.fst
AlgWP.ro_tree_wp
val ro_tree_wp (#a: _) (t: tree a [Read]) : Lemma (is_ro (interp_as_wp t))
val ro_tree_wp (#a: _) (t: tree a [Read]) : Lemma (is_ro (interp_as_wp t))
let rec ro_tree_wp #a (t : tree a [Read]) : Lemma (is_ro (interp_as_wp t)) = match t with | Return x -> () | Op Read i k -> let aux (x:state) : Lemma (is_ro (interp_as_wp (k x))) = ro_tree_wp (k x) in Classical.forall_intro aux; bind_ro read_wp (fun x -> interp_as_wp (k x))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 51, "end_line": 339, "start_col": 0, "start_line": 330 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: Alg.tree a [Alg.Read] -> FStar.Pervasives.Lemma (ensures AlgWP.is_ro (AlgWP.interp_as_wp t))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Alg.tree", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.bind_ro", "Alg.state", "AlgWP.read_wp", "AlgWP.interp_as_wp", "AlgWP.st_wp", "Prims.unit", "FStar.Classical.forall_intro", "AlgWP.is_ro", "Prims.l_True", "Prims.squash", "...
[ "recursion" ]
false
false
true
false
false
let rec ro_tree_wp #a (t: tree a [Read]) : Lemma (is_ro (interp_as_wp t)) =
match t with | Return x -> () | Op Read i k -> let aux (x: state) : Lemma (is_ro (interp_as_wp (k x))) = ro_tree_wp (k x) in Classical.forall_intro aux; bind_ro read_wp (fun x -> interp_as_wp (k x))
false
AlgWP.fst
AlgWP.quot
val quot (#a #wp: _) (f: (unit -> AlgWP a [Read] wp)) : AlgWP a [Read] (quotient_ro wp)
val quot (#a #wp: _) (f: (unit -> AlgWP a [Read] wp)) : AlgWP a [Read] (quotient_ro wp)
let quot #a #wp (f : unit -> AlgWP a [Read] wp) : AlgWP a [Read] (quotient_ro wp) = AlgWP?.reflect (quot_tree (reify (f ())))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 45, "end_line": 348, "start_col": 0, "start_line": 346 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
f: (_: Prims.unit -> AlgWP.AlgWP a) -> AlgWP.AlgWP a
AlgWP.AlgWP
[]
[]
[ "AlgWP.st_wp", "Prims.unit", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "AlgWP.quot_tree", "AlgWP.quotient_ro" ]
[]
false
true
false
false
false
let quot #a #wp (f: (unit -> AlgWP a [Read] wp)) : AlgWP a [Read] (quotient_ro wp) =
AlgWP?.reflect (quot_tree (reify (f ())))
false
AlgWP.fst
AlgWP.ignore_writes
val ignore_writes (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#pre #post: _) (f: (unit -> AlgPP a (Write :: l) pre post)) : AlgPP a l pre (fun h0 x h1 -> h0 == h1)
val ignore_writes (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#pre #post: _) (f: (unit -> AlgPP a (Write :: l) pre post)) : AlgPP a l pre (fun h0 x h1 -> h0 == h1)
let ignore_writes #a (#l:rwops{~(List.Tot.memP Write l)}) #pre #post (f : unit -> AlgPP a (Write::l) pre post) : AlgPP a l pre (fun h0 x h1 -> h0 == h1) = handle_into_ro #a #l #(fun h0 p -> pre h0 /\ (forall y h1. post h0 y h1 ==> p (y, h1))) f
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 93, "end_line": 404, "start_col": 0, "start_line": 402 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
f: (_: Prims.unit -> AlgWP.AlgPP a) -> AlgWP.AlgPP a
AlgWP.AlgPP
[]
[]
[ "AlgWP.rwops", "Prims.l_not", "FStar.List.Tot.Base.memP", "Alg.op", "Alg.Write", "Alg.state", "Prims.unit", "Prims.Cons", "AlgWP.handle_into_ro", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2", "Prim...
[]
false
true
false
false
false
let ignore_writes #a (#l: rwops{~(List.Tot.memP Write l)}) #pre #post (f: (unit -> AlgPP a (Write :: l) pre post)) : AlgPP a l pre (fun h0 x h1 -> h0 == h1) =
handle_into_ro #a #l #(fun h0 p -> pre h0 /\ (forall y h1. post h0 y h1 ==> p (y, h1))) f
false
AlgWP.fst
AlgWP.null
val null (#a: _) : st_wp a
val null (#a: _) : st_wp a
let null #a : st_wp a = fun s0 p -> forall r. p r
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 49, "end_line": 357, "start_col": 0, "start_line": 357 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
AlgWP.st_wp a
Prims.Tot
[ "total" ]
[]
[ "Alg.state", "FStar.Pervasives.Native.tuple2", "Prims.l_Forall", "Prims.logical", "AlgWP.st_wp" ]
[]
false
false
false
true
false
let null #a : st_wp a =
fun s0 p -> forall r. p r
false
AlgWP.fst
AlgWP.handle_into_ro
val handle_into_ro (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#wp: _) (f: (unit -> AlgWP a (Write :: l) wp)) : AlgWP a l null_ro
val handle_into_ro (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#wp: _) (f: (unit -> AlgWP a (Write :: l) wp)) : AlgWP a l null_ro
let handle_into_ro #a (#l:rwops{~(List.Tot.memP Write l)}) #wp (f : unit -> AlgWP a (Write::l) wp) : AlgWP a l null_ro = AlgWP?.reflect (__tree_handle_into_ro (reify (f ())))
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 57, "end_line": 400, "start_col": 0, "start_line": 398 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
f: (_: Prims.unit -> AlgWP.AlgWP a) -> AlgWP.AlgWP a
AlgWP.AlgWP
[]
[]
[ "AlgWP.rwops", "Prims.l_not", "FStar.List.Tot.Base.memP", "Alg.op", "Alg.Write", "AlgWP.st_wp", "Prims.unit", "Prims.Cons", "AlgWP.__tree_handle_into_ro", "AlgWP.null_ro" ]
[]
false
true
false
false
false
let handle_into_ro #a (#l: rwops{~(List.Tot.memP Write l)}) #wp (f: (unit -> AlgWP a (Write :: l) wp)) : AlgWP a l null_ro =
AlgWP?.reflect (__tree_handle_into_ro (reify (f ())))
false
FStar.Matrix.fst
FStar.Matrix.matrix_left_mul_identity_aux_2
val matrix_left_mul_identity_aux_2 (#c #eq #m: _) (add: CE.cm c eq) (mul: CE.cm c eq {is_absorber add.unit mul}) (mx: matrix c m m) (i j: under m) (k: nat{k = i + 1}) : Lemma (ensures (SP.foldm_snoc add (SB.init k (fun (k: under m) -> (ijth (matr...
val matrix_left_mul_identity_aux_2 (#c #eq #m: _) (add: CE.cm c eq) (mul: CE.cm c eq {is_absorber add.unit mul}) (mx: matrix c m m) (i j: under m) (k: nat{k = i + 1}) : Lemma (ensures (SP.foldm_snoc add (SB.init k (fun (k: under m) -> (ijth (matr...
let matrix_left_mul_identity_aux_2 #c #eq #m (add: CE.cm c eq) (mul: CE.cm c eq{is_absorber add.unit mul}) (mx: matrix c m m) (i j: under m) (k:nat{k=i+1}) :...
{ "file_name": "ulib/FStar.Matrix.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 61, "end_line": 980, "start_col": 0, "start_line": 950 }
(* Copyright 2022 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...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Seq.Properties.fsti.checked", "FStar.Seq.Permutation.fsti.checked", "FStar.Seq.Equiv.fsti.checked", "FStar.Seq.Base.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.f...
[ { "abbrev": false, "full_module": "FStar.Seq.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.IntegerIntervals", "short_module": null }, { "abbrev": true, "full_modu...
{ "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_el...
false
add: FStar.Algebra.CommMonoid.Equiv.cm c eq -> mul: FStar.Algebra.CommMonoid.Equiv.cm c eq {FStar.Matrix.is_absorber (CM?.unit add) mul} -> mx: FStar.Matrix.matrix c m m -> i: FStar.IntegerIntervals.under m -> j: FStar.IntegerIntervals.under m -> k: Prims.nat{k = i + 1} -> FStar.Pervasives.Le...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Algebra.CommMonoid.Equiv.equiv", "Prims.pos", "FStar.Algebra.CommMonoid.Equiv.cm", "FStar.Matrix.is_absorber", "FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit", "FStar.Matrix.matrix", "FStar.IntegerIntervals.under", "Prims.nat", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Pri...
[]
false
false
true
false
false
let matrix_left_mul_identity_aux_2 #c #eq #m (add: CE.cm c eq) (mul: CE.cm c eq {is_absorber add.unit mul}) (mx: matrix c m m) (i: under m) (j: under m) (k: nat{k = i + 1}) : Lemma (ensures (SP.foldm_snoc add (SB.init k (fun (k:...
let unit = matrix_mul_unit add mul m in let mxu = matrix_mul add mul mx unit in let ( * ) = mul.mult in let ( $=$ ) = eq.eq in let gen (k: under m) = ijth unit i k * ijth mx k j in let full = SB.init k gen in let liat, last = SProp.un_snoc full in assert (k - 1 <= i /\ k - 1 >= 0); if (k - 1) = 0 then matrix_left_mul_i...
false
AlgWP.fst
AlgWP.__tree_handle_into_ro
val __tree_handle_into_ro (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#wp: _) (f: repr a (Write :: l) wp) : repr a l null_ro
val __tree_handle_into_ro (#a: _) (#l: rwops{~(List.Tot.memP Write l)}) (#wp: _) (f: repr a (Write :: l) wp) : repr a l null_ro
let __tree_handle_into_ro #a (#l:rwops{~(List.Tot.memP Write l)}) #wp (f : repr a (Write::l) wp) : repr a l null_ro = let f' : tree a (Write::l) = f in let h : tree a l = handle_tree f' (fun x -> Return x) (function Write -> fun i k -> k () | op -> fun i k...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 395, "start_col": 0, "start_line": 384 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
f: AlgWP.repr a (Alg.Write :: l) wp -> AlgWP.repr a l AlgWP.null_ro
Prims.Tot
[ "total" ]
[]
[ "AlgWP.rwops", "Prims.l_not", "FStar.List.Tot.Base.memP", "Alg.op", "Alg.Write", "AlgWP.st_wp", "AlgWP.repr", "Prims.Cons", "Prims.unit", "AlgWP.null_ro_tree_wp", "Alg.tree", "Alg.Read", "Prims.Nil", "Prims._assert", "Alg.sublist", "Alg.handle_tree", "Alg.Return", "Alg.op_inp", "...
[]
false
false
false
false
false
let __tree_handle_into_ro #a (#l: rwops{~(List.Tot.memP Write l)}) #wp (f: repr a (Write :: l) wp) : repr a l null_ro =
let f':tree a (Write :: l) = f in let h:tree a l = handle_tree f' (fun x -> Return x) (function | Write -> fun i k -> k () | op -> fun i k -> Op op i k) in assert (sublist l [Read]); let h:tree a [Read] = h in null_ro_tree_wp h; h
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_from_to_mont_id_gen
val lemma_from_to_mont_id_gen (n mont_R mont_R_inv:pos) (a:nat{a < n}) : Lemma (requires mont_R_inv * mont_R % n = 1) (ensures (a * mont_R_inv % n) * mont_R % n == a)
val lemma_from_to_mont_id_gen (n mont_R mont_R_inv:pos) (a:nat{a < n}) : Lemma (requires mont_R_inv * mont_R % n = 1) (ensures (a * mont_R_inv % n) * mont_R % n == a)
let lemma_from_to_mont_id_gen n mont_R mont_R_inv a = lemma_to_from_mont_id_gen n mont_R_inv mont_R a
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 49, "end_line": 51, "start_col": 0, "start_line": 50 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R: Prims.pos -> mont_R_inv: Prims.pos -> a: Prims.nat{a < n} -> FStar.Pervasives.Lemma (requires mont_R_inv * mont_R % n = 1) (ensures (a * mont_R_inv % n) * mont_R % n == a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.P256.Montgomery.lemma_to_from_mont_id_gen", "Prims.unit" ]
[]
true
false
true
false
false
let lemma_from_to_mont_id_gen n mont_R mont_R_inv a =
lemma_to_from_mont_id_gen n mont_R_inv mont_R a
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_mod_mul_assoc
val lemma_mod_mul_assoc (n:pos) (a b c:nat) : Lemma ((a * b % n) * c % n == (a * (b * c % n)) % n)
val lemma_mod_mul_assoc (n:pos) (a b c:nat) : Lemma ((a * b % n) * c % n == (a * (b * c % n)) % n)
let lemma_mod_mul_assoc m a b c = calc (==) { (a * b % m) * c % m; (==) { Math.Lemmas.lemma_mod_mul_distr_l (a * b) c m } (a * b) * c % m; (==) { Math.Lemmas.paren_mul_right a b c } a * (b * c) % m; (==) { Math.Lemmas.lemma_mod_mul_distr_r a (b * c) m } a * (b * c % m) % m; }
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 34, "start_col": 0, "start_line": 25 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> a: Prims.nat -> b: Prims.nat -> c: Prims.nat -> FStar.Pervasives.Lemma (ensures (a * b % n) * c % n == a * (b * c % n) % n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "Prims.op_Modulus", "FStar.Mul.op_Star", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FStar.Math.Lemmas.lemma_mod_...
[]
false
false
true
false
false
let lemma_mod_mul_assoc m a b c =
calc ( == ) { (a * b % m) * c % m; ( == ) { Math.Lemmas.lemma_mod_mul_distr_l (a * b) c m } (a * b) * c % m; ( == ) { Math.Lemmas.paren_mul_right a b c } a * (b * c) % m; ( == ) { Math.Lemmas.lemma_mod_mul_distr_r a (b * c) m } a * (b * c % m) % m; }
false
MerkleTree.New.High.fst
MerkleTree.New.High.sha256_compress
val sha256_compress: src1:hash #32 -> src2:hash #32 -> GTot (hash #32)
val sha256_compress: src1:hash #32 -> src2:hash #32 -> GTot (hash #32)
let sha256_compress = MTS.sha256_compress
{ "file_name": "src/MerkleTree.New.High.fst", "git_rev": "7d7bdc20f2033171e279c176b26e84f9069d23c6", "git_url": "https://github.com/hacl-star/merkle-tree.git", "project_name": "merkle-tree" }
{ "end_col": 41, "end_line": 27, "start_col": 0, "start_line": 27 }
module MerkleTree.New.High open FStar.Ghost open FStar.Seq module S = FStar.Seq module U32 = FStar.UInt32 module U8 = FStar.UInt8 module MTS = MerkleTree.Spec #set-options "--z3rlimit 10 --max_fuel 0 --max_ifuel 0" type uint32_t = U32.t type uint8_t = U8.t type hash (#hsz:pos) = b:Spec.Hash.Definitions.bytes{Seq...
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "prims.fst.checked", "MerkleTree.Spec.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", ...
[ { "abbrev": true, "full_module": "MerkleTree.Spec", "short_module": "MTS" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FSt...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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_el...
false
src1: MerkleTree.New.High.hash -> src2: MerkleTree.New.High.hash -> Prims.GTot MerkleTree.New.High.hash
Prims.GTot
[ "sometrivial" ]
[]
[ "MerkleTree.Spec.sha256_compress" ]
[]
false
false
false
false
false
let sha256_compress =
MTS.sha256_compress
false
AlgWP.fst
AlgWP.quotPP
val quotPP (#a #pre #post: _) (f: (unit -> AlgPP a [Read] pre post)) : AlgPP a [Read] pre (fun h0 x h1 -> post h0 x h1 /\ h0 == h1)
val quotPP (#a #pre #post: _) (f: (unit -> AlgPP a [Read] pre post)) : AlgPP a [Read] pre (fun h0 x h1 -> post h0 x h1 /\ h0 == h1)
let quotPP #a #pre #post (f : unit -> AlgPP a [Read] pre post) : AlgPP a [Read] pre (fun h0 x h1 -> post h0 x h1 /\ h0 == h1) = quot #_ #(fun h0 p -> pre h0 /\ (forall y h1. post h0 y h1 ==> p (y, h1))) f
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 80, "end_line": 355, "start_col": 0, "start_line": 353 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
f: (_: Prims.unit -> AlgWP.AlgPP a) -> AlgWP.AlgPP a
AlgWP.AlgPP
[]
[]
[ "Alg.state", "Prims.unit", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "AlgWP.quot", "FStar.Pervasives.Native.tuple2", "Prims.logical", "Prims.l_and", "Prims.l_Forall", "Prims.l_imp", "FStar.Pervasives.Native.Mktuple2", "Prims.eq2" ]
[]
false
true
false
false
false
let quotPP #a #pre #post (f: (unit -> AlgPP a [Read] pre post)) : AlgPP a [Read] pre (fun h0 x h1 -> post h0 x h1 /\ h0 == h1) =
quot #_ #(fun h0 p -> pre h0 /\ (forall y h1. post h0 y h1 ==> p (y, h1))) f
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_to_from_mont_id_gen
val lemma_to_from_mont_id_gen (n mont_R mont_R_inv:pos) (a:nat{a < n}) : Lemma (requires mont_R * mont_R_inv % n = 1) (ensures (a * mont_R % n) * mont_R_inv % n == a)
val lemma_to_from_mont_id_gen (n mont_R mont_R_inv:pos) (a:nat{a < n}) : Lemma (requires mont_R * mont_R_inv % n = 1) (ensures (a * mont_R % n) * mont_R_inv % n == a)
let lemma_to_from_mont_id_gen n mont_R mont_R_inv a = lemma_mod_mul_assoc n a mont_R mont_R_inv; Math.Lemmas.modulo_lemma a n
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 43, "start_col": 0, "start_line": 41 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R: Prims.pos -> mont_R_inv: Prims.pos -> a: Prims.nat{a < n} -> FStar.Pervasives.Lemma (requires mont_R * mont_R_inv % n = 1) (ensures (a * mont_R % n) * mont_R_inv % n == a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Math.Lemmas.modulo_lemma", "Prims.unit", "Hacl.Spec.P256.Montgomery.lemma_mod_mul_assoc" ]
[]
true
false
true
false
false
let lemma_to_from_mont_id_gen n mont_R mont_R_inv a =
lemma_mod_mul_assoc n a mont_R mont_R_inv; Math.Lemmas.modulo_lemma a n
false
AlgWP.fst
AlgWP.null_ro_tree_wp
val null_ro_tree_wp (#a: _) (t: tree a [Read]) : Lemma (null_ro `stronger` (interp_as_wp t))
val null_ro_tree_wp (#a: _) (t: tree a [Read]) : Lemma (null_ro `stronger` (interp_as_wp t))
let rec null_ro_tree_wp #a (t : tree a [Read]) : Lemma (null_ro `stronger` (interp_as_wp t)) by (T.compute ()) // need this to trigger some unfoldings = match t with | Return x -> () | Op Read i k -> let aux (x:state) : Lemma (null_ro `stronger` interp_as_wp (k x)) = null_ro_tree_wp (k x) ...
{ "file_name": "examples/layeredeffects/AlgWP.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 56, "end_line": 378, "start_col": 0, "start_line": 368 }
module AlgWP (* AlgWP: tracking operation labels and WPs. At the end, we show how we can recover semantic facts from the labels alone, e.g. that interpreting a tree will not change the state, effectively allowing to strengthen a WP from intensional information about the operations in the tree. *) open FStar.List.Tot ...
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "ID5.fst.checked", "FStar.WellFounded.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Pure.fst.checked", "FStar.List.Tot.fst.checked", ...
[ { "abbrev": false, "full_module": "FStar.Monotonic.Pure", "short_module": null }, { "abbrev": false, "full_module": "Alg", "short_module": null }, { "abbrev": true, "full_module": "ID5", "short_module": "ID5" }, { "abbrev": true, "full_module": "FStar.Tactics....
{ "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_el...
false
t: Alg.tree a [Alg.Read] -> FStar.Pervasives.Lemma (ensures AlgWP.stronger AlgWP.null_ro (AlgWP.interp_as_wp t))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Alg.tree", "Prims.Cons", "Alg.op", "Alg.Read", "Prims.Nil", "Alg.op_inp", "Alg.op_out", "Alg.tree0", "AlgWP.bind_null_ro", "Alg.state", "AlgWP.read_wp", "AlgWP.interp_as_wp", "AlgWP.st_wp", "Prims.unit", "FStar.Classical.forall_intro", "AlgWP.stronger", "AlgWP.null_ro", "Prims.l_T...
[ "recursion" ]
false
false
true
false
false
let rec null_ro_tree_wp #a (t: tree a [Read]) : Lemma (null_ro `stronger` (interp_as_wp t)) by (T.compute ()) =
match t with | Return x -> () | Op Read i k -> let aux (x: state) : Lemma (null_ro `stronger` (interp_as_wp (k x))) = null_ro_tree_wp (k x) in Classical.forall_intro aux; bind_null_ro read_wp (fun x -> interp_as_wp (k x))
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.mont_add_lemma_gen
val mont_add_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma ((a * mont_R_inv % n + b * mont_R_inv % n) % n == (a + b) % n * mont_R_inv % n)
val mont_add_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma ((a * mont_R_inv % n + b * mont_R_inv % n) % n == (a + b) % n * mont_R_inv % n)
let mont_add_lemma_gen n mont_R_inv a b = calc (==) { (a * mont_R_inv % n + b * mont_R_inv % n) % n; (==) { Math.Lemmas.modulo_distributivity (a * mont_R_inv) (b * mont_R_inv) n } (a * mont_R_inv + b * mont_R_inv) % n; (==) { Math.Lemmas.distributivity_add_left a b mont_R_inv } (a + b) * mont_R_in...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 93, "start_col": 0, "start_line": 84 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R_inv: Prims.nat -> a: Prims.nat -> b: Prims.nat -> FStar.Pervasives.Lemma (ensures (a * mont_R_inv % n + b * mont_R_inv % n) % n == ((a + b) % n) * mont_R_inv % n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "Prims.op_Modulus", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FStar...
[]
false
false
true
false
false
let mont_add_lemma_gen n mont_R_inv a b =
calc ( == ) { (a * mont_R_inv % n + b * mont_R_inv % n) % n; ( == ) { Math.Lemmas.modulo_distributivity (a * mont_R_inv) (b * mont_R_inv) n } (a * mont_R_inv + b * mont_R_inv) % n; ( == ) { Math.Lemmas.distributivity_add_left a b mont_R_inv } (a + b) * mont_R_inv % n; ( == ) { Math.Lemmas.lemma_mod_mul_dist...
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.fmont_R_inv
val fmont_R_inv : pos
val fmont_R_inv : pos
let fmont_R_inv = let d, _ = SBML.eea_pow2_odd 256 S.prime in d % S.prime
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 161, "start_col": 0, "start_line": 160 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
Prims.pos
Prims.Tot
[ "total" ]
[]
[ "Prims.int", "Prims.op_Modulus", "Spec.P256.PointOps.prime", "Prims.pos", "FStar.Pervasives.Native.tuple2", "Hacl.Spec.Montgomery.Lemmas.eea_pow2_odd" ]
[]
false
false
false
true
false
let fmont_R_inv =
let d, _ = SBML.eea_pow2_odd 256 S.prime in d % S.prime
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.fmont_sub_lemma
val fmont_sub_lemma: a:S.felem -> b:S.felem -> Lemma (S.fsub (from_mont a) (from_mont b) = from_mont ((a - b) % S.prime))
val fmont_sub_lemma: a:S.felem -> b:S.felem -> Lemma (S.fsub (from_mont a) (from_mont b) = from_mont ((a - b) % S.prime))
let fmont_sub_lemma a b = mont_sub_lemma_gen S.prime fmont_R_inv a b
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 44, "end_line": 230, "start_col": 0, "start_line": 229 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> b: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Spec.P256.PointOps.fsub (Hacl.Spec.P256.Montgomery.from_mont a) (Hacl.Spec.P256.Montgomery.from_mont b) = Hacl.Spec.P256.Montgomery.from_mont ((a - b) % Spec.P256.PointOps.prime))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.mont_sub_lemma_gen", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit" ]
[]
true
false
true
false
false
let fmont_sub_lemma a b =
mont_sub_lemma_gen S.prime fmont_R_inv a b
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.mont_mul_lemma_gen
val mont_mul_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma (((a * mont_R_inv % n) * (b * mont_R_inv % n)) % n == ((a * b * mont_R_inv) % n) * mont_R_inv % n)
val mont_mul_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma (((a * mont_R_inv % n) * (b * mont_R_inv % n)) % n == ((a * b * mont_R_inv) % n) * mont_R_inv % n)
let mont_mul_lemma_gen n mont_R_inv a b = calc (==) { ((a * mont_R_inv % n) * (b * mont_R_inv % n)) % n; (==) { Math.Lemmas.lemma_mod_mul_distr_l (a * mont_R_inv) (b * mont_R_inv % n) n } (a * mont_R_inv * (b * mont_R_inv % n)) % n; (==) { Math.Lemmas.lemma_mod_mul_distr_r (a * mont_R_inv) (b * ...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 78, "start_col": 0, "start_line": 58 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R_inv: Prims.nat -> a: Prims.nat -> b: Prims.nat -> FStar.Pervasives.Lemma (ensures (a * mont_R_inv % n) * (b * mont_R_inv % n) % n == ((a * b) * mont_R_inv % n) * mont_R_inv % n )
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "Prims.op_Modulus", "FStar.Mul.op_Star", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FStar.Math.Lemmas.lemma_mod_...
[]
false
false
true
false
false
let mont_mul_lemma_gen n mont_R_inv a b =
calc ( == ) { ((a * mont_R_inv % n) * (b * mont_R_inv % n)) % n; ( == ) { Math.Lemmas.lemma_mod_mul_distr_l (a * mont_R_inv) (b * mont_R_inv % n) n } ((a * mont_R_inv) * (b * mont_R_inv % n)) % n; ( == ) { Math.Lemmas.lemma_mod_mul_distr_r (a * mont_R_inv) (b * mont_R_inv) n } ((a * mont_R_inv) * (b * mont_R_...
false
MerkleTree.New.High.fst
MerkleTree.New.High.mt_not_empty
val mt_not_empty (#hsz:pos): merkle_tree #hsz -> GTot bool
val mt_not_empty (#hsz:pos): merkle_tree #hsz -> GTot bool
let mt_not_empty #hsz mt = MT?.j mt > 0
{ "file_name": "src/MerkleTree.New.High.fst", "git_rev": "7d7bdc20f2033171e279c176b26e84f9069d23c6", "git_url": "https://github.com/hacl-star/merkle-tree.git", "project_name": "merkle-tree" }
{ "end_col": 14, "end_line": 89, "start_col": 0, "start_line": 88 }
module MerkleTree.New.High open FStar.Ghost open FStar.Seq module S = FStar.Seq module U32 = FStar.UInt32 module U8 = FStar.UInt8 module MTS = MerkleTree.Spec #set-options "--z3rlimit 10 --max_fuel 0 --max_ifuel 0" type uint32_t = U32.t type uint8_t = U8.t type hash (#hsz:pos) = b:Spec.Hash.Definitions.bytes{Seq...
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "prims.fst.checked", "MerkleTree.Spec.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", ...
[ { "abbrev": true, "full_module": "MerkleTree.Spec", "short_module": "MTS" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FSt...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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_el...
false
mt: MerkleTree.New.High.merkle_tree -> Prims.GTot Prims.bool
Prims.GTot
[ "sometrivial" ]
[]
[ "Prims.pos", "MerkleTree.New.High.merkle_tree", "Prims.op_GreaterThan", "MerkleTree.New.High.__proj__MT__item__j", "Prims.bool" ]
[]
false
false
false
false
false
let mt_not_empty #hsz mt =
MT?.j mt > 0
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_from_mont_zero
val lemma_from_mont_zero: a:S.felem -> Lemma (from_mont a == 0 <==> a == 0)
val lemma_from_mont_zero: a:S.felem -> Lemma (from_mont a == 0 <==> a == 0)
let lemma_from_mont_zero a = Spec.P256.Lemmas.prime_lemma (); Lib.NatMod.lemma_mul_mod_prime_zero #S.prime a fmont_R_inv
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 60, "end_line": 208, "start_col": 0, "start_line": 206 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Hacl.Spec.P256.Montgomery.from_mont a == 0 <==> a == 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Lib.NatMod.lemma_mul_mod_prime_zero", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit", "Spec.P256.Lemmas.prime_lemma" ]
[]
true
false
true
false
false
let lemma_from_mont_zero a =
Spec.P256.Lemmas.prime_lemma (); Lib.NatMod.lemma_mul_mod_prime_zero #S.prime a fmont_R_inv
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_to_from_mont_id
val lemma_to_from_mont_id: a:S.felem -> Lemma (from_mont (to_mont a) == a)
val lemma_to_from_mont_id: a:S.felem -> Lemma (from_mont (to_mont a) == a)
let lemma_to_from_mont_id a = mul_fmont_R_and_R_inv_is_one (); lemma_to_from_mont_id_gen S.prime fmont_R fmont_R_inv a
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 213, "start_col": 0, "start_line": 211 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Hacl.Spec.P256.Montgomery.from_mont (Hacl.Spec.P256.Montgomery.to_mont a) == a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.lemma_to_from_mont_id_gen", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit", "Hacl.Spec.P256.Montgomery.mul_fmont_R_and_R_inv_is_one" ]
[]
true
false
true
false
false
let lemma_to_from_mont_id a =
mul_fmont_R_and_R_inv_is_one (); lemma_to_from_mont_id_gen S.prime fmont_R fmont_R_inv a
false
MerkleTree.New.High.fst
MerkleTree.New.High.mt_empty
val mt_empty (#hsz:pos): merkle_tree #hsz -> GTot bool
val mt_empty (#hsz:pos): merkle_tree #hsz -> GTot bool
let mt_empty #hsz mt = MT?.j mt = 0
{ "file_name": "src/MerkleTree.New.High.fst", "git_rev": "7d7bdc20f2033171e279c176b26e84f9069d23c6", "git_url": "https://github.com/hacl-star/merkle-tree.git", "project_name": "merkle-tree" }
{ "end_col": 14, "end_line": 85, "start_col": 0, "start_line": 84 }
module MerkleTree.New.High open FStar.Ghost open FStar.Seq module S = FStar.Seq module U32 = FStar.UInt32 module U8 = FStar.UInt8 module MTS = MerkleTree.Spec #set-options "--z3rlimit 10 --max_fuel 0 --max_ifuel 0" type uint32_t = U32.t type uint8_t = U8.t type hash (#hsz:pos) = b:Spec.Hash.Definitions.bytes{Seq...
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "prims.fst.checked", "MerkleTree.Spec.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", ...
[ { "abbrev": true, "full_module": "MerkleTree.Spec", "short_module": "MTS" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FSt...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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_el...
false
mt: MerkleTree.New.High.merkle_tree -> Prims.GTot Prims.bool
Prims.GTot
[ "sometrivial" ]
[]
[ "Prims.pos", "MerkleTree.New.High.merkle_tree", "Prims.op_Equality", "Prims.int", "MerkleTree.New.High.__proj__MT__item__j", "Prims.bool" ]
[]
false
false
false
false
false
let mt_empty #hsz mt =
MT?.j mt = 0
false
MerkleTree.New.High.fst
MerkleTree.New.High.mt_not_full
val mt_not_full (#hsz:pos): merkle_tree #hsz -> GTot bool
val mt_not_full (#hsz:pos): merkle_tree #hsz -> GTot bool
let mt_not_full #hsz mt = MT?.j mt < pow2 32 - 1
{ "file_name": "src/MerkleTree.New.High.fst", "git_rev": "7d7bdc20f2033171e279c176b26e84f9069d23c6", "git_url": "https://github.com/hacl-star/merkle-tree.git", "project_name": "merkle-tree" }
{ "end_col": 24, "end_line": 81, "start_col": 0, "start_line": 80 }
module MerkleTree.New.High open FStar.Ghost open FStar.Seq module S = FStar.Seq module U32 = FStar.UInt32 module U8 = FStar.UInt8 module MTS = MerkleTree.Spec #set-options "--z3rlimit 10 --max_fuel 0 --max_ifuel 0" type uint32_t = U32.t type uint8_t = U8.t type hash (#hsz:pos) = b:Spec.Hash.Definitions.bytes{Seq...
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "prims.fst.checked", "MerkleTree.Spec.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", ...
[ { "abbrev": true, "full_module": "MerkleTree.Spec", "short_module": "MTS" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FSt...
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "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_el...
false
mt: MerkleTree.New.High.merkle_tree -> Prims.GTot Prims.bool
Prims.GTot
[ "sometrivial" ]
[]
[ "Prims.pos", "MerkleTree.New.High.merkle_tree", "Prims.op_LessThan", "MerkleTree.New.High.__proj__MT__item__j", "Prims.op_Subtraction", "Prims.pow2", "Prims.bool" ]
[]
false
false
false
false
false
let mt_not_full #hsz mt =
MT?.j mt < pow2 32 - 1
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_prime_mont
val lemma_prime_mont: unit -> Lemma (S.prime % 2 = 1 /\ S.prime < pow2 256 /\ (1 + S.prime) % pow2 64 = 0)
val lemma_prime_mont: unit -> Lemma (S.prime % 2 = 1 /\ S.prime < pow2 256 /\ (1 + S.prime) % pow2 64 = 0)
let lemma_prime_mont () = assert_norm (S.prime % 2 = 1); assert_norm (S.prime < pow2 256); assert_norm ((1 + S.prime) % pow2 64 = 0)
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 180, "start_col": 0, "start_line": 177 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Spec.P256.PointOps.prime % 2 = 1 /\ Spec.P256.PointOps.prime < Prims.pow2 256 /\ (1 + Spec.P256.PointOps.prime) % Prims.pow2 64 = 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Modulus", "Prims.op_Addition", "Spec.P256.PointOps.prime", "Prims.pow2", "Prims.op_LessThan" ]
[]
true
false
true
false
false
let lemma_prime_mont () =
assert_norm (S.prime % 2 = 1); assert_norm (S.prime < pow2 256); assert_norm ((1 + S.prime) % pow2 64 = 0)
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.mul_fmont_R_and_R_inv_is_one
val mul_fmont_R_and_R_inv_is_one: unit -> Lemma (fmont_R * fmont_R_inv % S.prime = 1)
val mul_fmont_R_and_R_inv_is_one: unit -> Lemma (fmont_R * fmont_R_inv % S.prime = 1)
let mul_fmont_R_and_R_inv_is_one () = let d, k = SBML.eea_pow2_odd 256 S.prime in SBML.mont_preconditions_d 64 4 S.prime; assert (d * pow2 256 % S.prime = 1); Math.Lemmas.lemma_mod_mul_distr_l d (pow2 256) S.prime
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 56, "end_line": 168, "start_col": 0, "start_line": 164 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Hacl.Spec.P256.Montgomery.fmont_R * Hacl.Spec.P256.Montgomery.fmont_R_inv % Spec.P256.PointOps.prime = 1)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.unit", "Prims.int", "FStar.Math.Lemmas.lemma_mod_mul_distr_l", "Prims.pow2", "Spec.P256.PointOps.prime", "Prims._assert", "Prims.b2t", "Prims.op_Equality", "Prims.op_Modulus", "FStar.Mul.op_Star", "Hacl.Spec.Montgomery.Lemmas.mont_preconditions_d", "FStar.Pervasives.Native.tuple2", "H...
[]
false
false
true
false
false
let mul_fmont_R_and_R_inv_is_one () =
let d, k = SBML.eea_pow2_odd 256 S.prime in SBML.mont_preconditions_d 64 4 S.prime; assert (d * pow2 256 % S.prime = 1); Math.Lemmas.lemma_mod_mul_distr_l d (pow2 256) S.prime
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.fmont_mul_lemma
val fmont_mul_lemma: a:S.felem -> b:S.felem -> Lemma (S.fmul (from_mont a) (from_mont b) = from_mont ((a * b * fmont_R_inv) % S.prime))
val fmont_mul_lemma: a:S.felem -> b:S.felem -> Lemma (S.fmul (from_mont a) (from_mont b) = from_mont ((a * b * fmont_R_inv) % S.prime))
let fmont_mul_lemma a b = mont_mul_lemma_gen S.prime fmont_R_inv a b
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 44, "end_line": 222, "start_col": 0, "start_line": 221 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> b: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Spec.P256.PointOps.fmul (Hacl.Spec.P256.Montgomery.from_mont a) (Hacl.Spec.P256.Montgomery.from_mont b) = Hacl.Spec.P256.Montgomery.from_mont ((a * b) * Hacl.Spec.P256.Montgomery.fmont_R_inv % ...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.mont_mul_lemma_gen", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit" ]
[]
true
false
true
false
false
let fmont_mul_lemma a b =
mont_mul_lemma_gen S.prime fmont_R_inv a b
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_mont_inv_gen
val lemma_mont_inv_gen (n:pos{1 < n}) (mont_R:pos) (mont_R_inv:nat{mont_R_inv < n}) (a:nat{a < n}) : Lemma (requires M.pow_mod #n mont_R_inv (n - 2) == mont_R % n) (ensures M.pow_mod #n (a * mont_R_inv % n) (n - 2) == M.pow_mod #n a (n - 2) * mont_R % n)
val lemma_mont_inv_gen (n:pos{1 < n}) (mont_R:pos) (mont_R_inv:nat{mont_R_inv < n}) (a:nat{a < n}) : Lemma (requires M.pow_mod #n mont_R_inv (n - 2) == mont_R % n) (ensures M.pow_mod #n (a * mont_R_inv % n) (n - 2) == M.pow_mod #n a (n - 2) * mont_R % n)
let lemma_mont_inv_gen n mont_R mont_R_inv k = M.lemma_pow_mod #n (k * mont_R_inv % n) (n - 2); // assert (M.pow_mod #n (k * mont_R_inv % n) (n - 2) == // M.pow (k * mont_R_inv % n) (n - 2) % n); M.lemma_pow_mod_base (k * mont_R_inv) (n - 2) n; // == M.pow (k * mont_R_inv) (n - 2) % n M.lemma_pow_mul_bas...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 136, "start_col": 0, "start_line": 118 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos{1 < n} -> mont_R: Prims.pos -> mont_R_inv: Prims.nat{mont_R_inv < n} -> a: Prims.nat{a < n} -> FStar.Pervasives.Lemma (requires Lib.NatMod.pow_mod mont_R_inv (n - 2) == mont_R % n) (ensures Lib.NatMod.pow_mod (a * mont_R_inv % n) (n - 2) == Lib.NatMod.pow_mod a (n - 2) * mo...
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.b2t", "Prims.op_LessThan", "Prims.nat", "Lib.NatMod.lemma_pow_mod", "Prims.op_Subtraction", "Prims.unit", "FStar.Math.Lemmas.lemma_mod_mul_distr_l", "Lib.NatMod.pow", "FStar.Math.Lemmas.lemma_mod_mul_distr_r", "Prims._assert", "Prims.eq2", "Prims.int", "Lib.NatMod.pow_m...
[]
true
false
true
false
false
let lemma_mont_inv_gen n mont_R mont_R_inv k =
M.lemma_pow_mod #n (k * mont_R_inv % n) (n - 2); M.lemma_pow_mod_base (k * mont_R_inv) (n - 2) n; M.lemma_pow_mul_base k mont_R_inv (n - 2); Math.Lemmas.lemma_mod_mul_distr_r (M.pow k (n - 2)) (M.pow mont_R_inv (n - 2)) n; M.lemma_pow_mod #n mont_R_inv (n - 2); assert (M.pow_mod #n (k * mont_R_inv % n) (n - 2) == M.pow...
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.fmont_add_lemma
val fmont_add_lemma: a:S.felem -> b:S.felem -> Lemma (S.fadd (from_mont a) (from_mont b) = from_mont ((a + b) % S.prime))
val fmont_add_lemma: a:S.felem -> b:S.felem -> Lemma (S.fadd (from_mont a) (from_mont b) = from_mont ((a + b) % S.prime))
let fmont_add_lemma a b = mont_add_lemma_gen S.prime fmont_R_inv a b
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 44, "end_line": 226, "start_col": 0, "start_line": 225 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> b: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Spec.P256.PointOps.fadd (Hacl.Spec.P256.Montgomery.from_mont a) (Hacl.Spec.P256.Montgomery.from_mont b) = Hacl.Spec.P256.Montgomery.from_mont ((a + b) % Spec.P256.PointOps.prime))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.mont_add_lemma_gen", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit" ]
[]
true
false
true
false
false
let fmont_add_lemma a b =
mont_add_lemma_gen S.prime fmont_R_inv a b
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.mont_sub_lemma_gen
val mont_sub_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma ((a * mont_R_inv % n - b * mont_R_inv % n) % n == (a - b) % n * mont_R_inv % n)
val mont_sub_lemma_gen (n:pos) (mont_R_inv a b: nat) : Lemma ((a * mont_R_inv % n - b * mont_R_inv % n) % n == (a - b) % n * mont_R_inv % n)
let mont_sub_lemma_gen n mont_R_inv a b = calc (==) { (a * mont_R_inv % n - b * mont_R_inv % n) % n; (==) { Math.Lemmas.lemma_mod_sub_distr (a * mont_R_inv % n) (b * mont_R_inv) n } (a * mont_R_inv % n - b * mont_R_inv) % n; (==) { Math.Lemmas.lemma_mod_plus_distr_l (a * mont_R_inv) (- b * mont_R_inv)...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 110, "start_col": 0, "start_line": 99 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R_inv: Prims.nat -> a: Prims.nat -> b: Prims.nat -> FStar.Pervasives.Lemma (ensures (a * mont_R_inv % n - b * mont_R_inv % n) % n == ((a - b) % n) * mont_R_inv % n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "Prims.op_Modulus", "Prims.op_Subtraction", "FStar.Mul.op_Star", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FS...
[]
false
false
true
false
false
let mont_sub_lemma_gen n mont_R_inv a b =
calc ( == ) { (a * mont_R_inv % n - b * mont_R_inv % n) % n; ( == ) { Math.Lemmas.lemma_mod_sub_distr (a * mont_R_inv % n) (b * mont_R_inv) n } (a * mont_R_inv % n - b * mont_R_inv) % n; ( == ) { Math.Lemmas.lemma_mod_plus_distr_l (a * mont_R_inv) (- b * mont_R_inv) n } (a * mont_R_inv - b * mont_R_inv) % n; ...
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_from_to_mont_id
val lemma_from_to_mont_id: a:S.felem -> Lemma (to_mont (from_mont a) == a)
val lemma_from_to_mont_id: a:S.felem -> Lemma (to_mont (from_mont a) == a)
let lemma_from_to_mont_id a = mul_fmont_R_and_R_inv_is_one (); lemma_from_to_mont_id_gen S.prime fmont_R fmont_R_inv a
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 218, "start_col": 0, "start_line": 216 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.felem -> FStar.Pervasives.Lemma (ensures Hacl.Spec.P256.Montgomery.to_mont (Hacl.Spec.P256.Montgomery.from_mont a) == a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.felem", "Hacl.Spec.P256.Montgomery.lemma_from_to_mont_id_gen", "Spec.P256.PointOps.prime", "Hacl.Spec.P256.Montgomery.fmont_R", "Hacl.Spec.P256.Montgomery.fmont_R_inv", "Prims.unit", "Hacl.Spec.P256.Montgomery.mul_fmont_R_and_R_inv_is_one" ]
[]
true
false
true
false
false
let lemma_from_to_mont_id a =
mul_fmont_R_and_R_inv_is_one (); lemma_from_to_mont_id_gen S.prime fmont_R fmont_R_inv a
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.qmont_R_inv
val qmont_R_inv : pos
val qmont_R_inv : pos
let qmont_R_inv = let d, _ = SBML.eea_pow2_odd 256 S.order in d % S.order
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 236, "start_col": 0, "start_line": 235 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
Prims.pos
Prims.Tot
[ "total" ]
[]
[ "Prims.int", "Prims.op_Modulus", "Spec.P256.PointOps.order", "Prims.pos", "FStar.Pervasives.Native.tuple2", "Hacl.Spec.Montgomery.Lemmas.eea_pow2_odd" ]
[]
false
false
false
true
false
let qmont_R_inv =
let d, _ = SBML.eea_pow2_odd 256 S.order in d % S.order
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_order_mont
val lemma_order_mont: unit -> Lemma (S.order % 2 = 1 /\ S.order < pow2 256 /\ (1 + S.order * 0xccd1c8aaee00bc4f) % pow2 64 = 0)
val lemma_order_mont: unit -> Lemma (S.order % 2 = 1 /\ S.order < pow2 256 /\ (1 + S.order * 0xccd1c8aaee00bc4f) % pow2 64 = 0)
let lemma_order_mont () = assert_norm (S.order % 2 = 1); assert_norm (S.order < pow2 256); assert_norm ((1 + S.order * 0xccd1c8aaee00bc4f) % pow2 64 = 0)
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 64, "end_line": 256, "start_col": 0, "start_line": 253 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Spec.P256.PointOps.order % 2 = 1 /\ Spec.P256.PointOps.order < Prims.pow2 256 /\ (1 + Spec.P256.PointOps.order * 0xccd1c8aaee00bc4f) % Prims.pow2 64 = 0)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Modulus", "Prims.op_Addition", "FStar.Mul.op_Star", "Spec.P256.PointOps.order", "Prims.pow2", "Prims.op_LessThan" ]
[]
true
false
true
false
false
let lemma_order_mont () =
assert_norm (S.order % 2 = 1); assert_norm (S.order < pow2 256); assert_norm ((1 + S.order * 0xccd1c8aaee00bc4f) % pow2 64 = 0)
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.mont_cancel_lemma_gen
val mont_cancel_lemma_gen (n:pos) (mont_R mont_R_inv a b:nat) : Lemma (requires mont_R_inv * mont_R % n = 1) (ensures (a * mont_R % n * b * mont_R_inv) % n = a * b % n)
val mont_cancel_lemma_gen (n:pos) (mont_R mont_R_inv a b:nat) : Lemma (requires mont_R_inv * mont_R % n = 1) (ensures (a * mont_R % n * b * mont_R_inv) % n = a * b % n)
let mont_cancel_lemma_gen n mont_R mont_R_inv a b = calc (==) { (a * mont_R % n * b * mont_R_inv) % n; (==) { Math.Lemmas.paren_mul_right (a * mont_R % n) b mont_R_inv } (a * mont_R % n * (b * mont_R_inv)) % n; (==) { Math.Lemmas.lemma_mod_mul_distr_l (a * mont_R) (b * mont_R_inv) n } (a * mont_R ...
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 157, "start_col": 0, "start_line": 139 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
n: Prims.pos -> mont_R: Prims.nat -> mont_R_inv: Prims.nat -> a: Prims.nat -> b: Prims.nat -> FStar.Pervasives.Lemma (requires mont_R_inv * mont_R % n = 1) (ensures ((a * mont_R % n) * b) * mont_R_inv % n = a * b % n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.pos", "Prims.nat", "FStar.Calc.calc_finish", "Prims.int", "Prims.eq2", "Prims.op_Modulus", "FStar.Mul.op_Star", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "FStar.Math.Lemmas.paren_mul_...
[]
false
false
true
false
false
let mont_cancel_lemma_gen n mont_R mont_R_inv a b =
calc ( == ) { (((a * mont_R % n) * b) * mont_R_inv) % n; ( == ) { Math.Lemmas.paren_mul_right (a * mont_R % n) b mont_R_inv } ((a * mont_R % n) * (b * mont_R_inv)) % n; ( == ) { Math.Lemmas.lemma_mod_mul_distr_l (a * mont_R) (b * mont_R_inv) n } ((a * mont_R) * (b * mont_R_inv)) % n; ( == ) { (Math.Lemmas.p...
false
Hacl.Spec.P256.Montgomery.fst
Hacl.Spec.P256.Montgomery.lemma_from_to_qmont_id
val lemma_from_to_qmont_id: a:S.qelem -> Lemma (to_qmont (from_qmont a) == a)
val lemma_from_to_qmont_id: a:S.qelem -> Lemma (to_qmont (from_qmont a) == a)
let lemma_from_to_qmont_id a = mul_qmont_R_and_R_inv_is_one (); Math.Lemmas.swap_mul qmont_R qmont_R_inv; lemma_from_to_mont_id_gen S.order qmont_R qmont_R_inv a
{ "file_name": "code/ecdsap256/Hacl.Spec.P256.Montgomery.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 291, "start_col": 0, "start_line": 288 }
module Hacl.Spec.P256.Montgomery open FStar.Mul open Lib.IntTypes module S = Spec.P256 module M = Lib.NatMod module BD = Hacl.Spec.Bignum.Definitions module SBM = Hacl.Spec.Bignum.Montgomery module SBML = Hacl.Spec.Montgomery.Lemmas #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" /// Montgomery arithmetic for a b...
{ "checked_file": "/", "dependencies": [ "Spec.P256.Lemmas.fsti.checked", "Spec.P256.fst.checked", "prims.fst.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Montgomery.Lemmas.fst.checked", "Hacl.Spec.Bignum.Montgomery.fsti.checked", "Hacl.Spec.Bignum.Def...
[ { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "SBML" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "SBM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": "BD" }, ...
{ "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_el...
false
a: Spec.P256.PointOps.qelem -> FStar.Pervasives.Lemma (ensures Hacl.Spec.P256.Montgomery.to_qmont (Hacl.Spec.P256.Montgomery.from_qmont a) == a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.P256.PointOps.qelem", "Hacl.Spec.P256.Montgomery.lemma_from_to_mont_id_gen", "Spec.P256.PointOps.order", "Hacl.Spec.P256.Montgomery.qmont_R", "Hacl.Spec.P256.Montgomery.qmont_R_inv", "Prims.unit", "FStar.Math.Lemmas.swap_mul", "Hacl.Spec.P256.Montgomery.mul_qmont_R_and_R_inv_is_one" ]
[]
true
false
true
false
false
let lemma_from_to_qmont_id a =
mul_qmont_R_and_R_inv_is_one (); Math.Lemmas.swap_mul qmont_R qmont_R_inv; lemma_from_to_mont_id_gen S.order qmont_R qmont_R_inv a
false