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Why3
why3
Commits
3a49aadb
Commit
3a49aadb
authored
Apr 17, 2015
by
Jean-Christophe Filliâtre
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verifythis_2015_relatex_prefix: simplified source code
parent
a62ff0e8
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37 additions
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68 deletions
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examples/verifythis_2015_relaxed_prefix.mlw
examples/verifythis_2015_relaxed_prefix.mlw
+4
-23
examples/verifythis_2015_relaxed_prefix/why3session.xml
examples/verifythis_2015_relaxed_prefix/why3session.xml
+33
-45
examples/verifythis_2015_relaxed_prefix/why3shapes.gz
examples/verifythis_2015_relaxed_prefix/why3shapes.gz
+0
-0
No files found.
examples/verifythis_2015_relaxed_prefix.mlw
View file @
3a49aadb
...
...
@@ -94,17 +94,13 @@ module RelaxedPrefix
ofs1 + len <= length a1 /\ ofs2 + len <= length a2 /\
forall i: int. 0 <= i < len -> a1[ofs1 + i] = a2[ofs2 + i]
(** The target property. Note that this definition imposes the
index of the character which is ignored (index [i] in the existential
quantifier). It simplifies our proof, but a looser definition would
be possible (see the comment at the end of this file). *)
(** The target property. *)
predicate is_relaxed_prefix (pat a: array char) =
let n = length pat in
eq_array pat 0 a 0 n
\/ exists i: int. 0 <= i < n /\
eq_array pat 0 a 0 i /\
(* (i = length a \/ pat[i] <> a[i]) /\*)
eq_array pat (i+1) a i (n - i - 1)
(** This exception is used to exit the loop as soon as the target
...
...
@@ -136,10 +132,10 @@ module RelaxedPrefix
(!ignored < m -> pat[!ignored] <> a[!ignored]) }
if i - !shift >= m || pat[i] <> a[i - !shift] then begin
if !shift = 1 then begin
assert { forall j. eq_array pat 0 a 0 j
/\
assert { forall j. eq_array pat 0 a 0 j
->
eq_array pat (j+1) a j (n-j-1) ->
(!ignored > j -> pat[j+1+(i-j-1)] = a[j+(i-j-1)] && false)
&& false
};
!ignored > j -> pat[j+1+(i-j-1)] = a[j+(i-j-1)]
};
raise NoPrefix
end;
ignored := i;
...
...
@@ -151,19 +147,4 @@ module RelaxedPrefix
False
end
(** a simpler definition of [is_relaxed_prefix] would be the following: *)
predicate simple_is_relaxed_prefix (pat a: array char) =
let n = length pat in
eq_array pat 0 a 0 n
\/ exists i: int. 0 <= i < n /\
eq_array pat 0 a 0 i /\
eq_array pat (i+1) a i (n - i - 1)
(* TODO: prove the equivalence
lemma equivalence:
forall pat a: array char.
is_relaxed_prefix pat a <-> simple_is_relaxed_prefix pat a
*)
end
examples/verifythis_2015_relaxed_prefix/why3session.xml
View file @
3a49aadb
...
...
@@ -4,101 +4,89 @@
<why3session
shape_version=
"4"
>
<prover
id=
"1"
name=
"Alt-Ergo"
version=
"0.99.1"
timelimit=
"6"
memlimit=
"1000"
/>
<prover
id=
"2"
name=
"Z3"
version=
"4.3.1"
timelimit=
"6"
memlimit=
"1000"
/>
<file
name=
"../verifythis_2015_relaxed_prefix.mlw"
>
<theory
name=
"RelaxedPrefix"
sum=
"
39e24d0606ef6c014ef1ff9b3a7d8f29
"
>
<goal
name=
"WP_parameter is_relaxed_prefix"
expl=
"VC for is_relaxed_prefix"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter is_relaxed_prefix.1"
expl=
"1. postcondition"
>
<file
name=
"../verifythis_2015_relaxed_prefix.mlw"
expanded=
"true"
>
<theory
name=
"RelaxedPrefix"
sum=
"
8b7f0d83946a7a83195b54026027b10b"
expanded=
"true
"
>
<goal
name=
"WP_parameter is_relaxed_prefix"
expl=
"VC for is_relaxed_prefix"
expanded=
"true"
>
<transf
name=
"split_goal_wp"
expanded=
"true"
>
<goal
name=
"WP_parameter is_relaxed_prefix.1"
expl=
"1. postcondition"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"7"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.2"
expl=
"2. loop invariant init"
>
<goal
name=
"WP_parameter is_relaxed_prefix.2"
expl=
"2. loop invariant init"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"3"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.3"
expl=
"3. loop invariant init"
>
<goal
name=
"WP_parameter is_relaxed_prefix.3"
expl=
"3. loop invariant init"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"3"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.4"
expl=
"4. loop invariant init"
>
<goal
name=
"WP_parameter is_relaxed_prefix.4"
expl=
"4. loop invariant init"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"3"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.5"
expl=
"5. loop invariant init"
>
<goal
name=
"WP_parameter is_relaxed_prefix.5"
expl=
"5. loop invariant init"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"6"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.6"
expl=
"6. assertion"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter is_relaxed_prefix.6.1"
expl=
"1. assertion"
>
<goal
name=
"WP_parameter is_relaxed_prefix.6"
expl=
"6. assertion"
expanded=
"true"
>
<transf
name=
"split_goal_wp"
expanded=
"true"
>
<goal
name=
"WP_parameter is_relaxed_prefix.6.1"
expl=
"1. assertion"
expanded=
"true"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"20"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.6.2"
expl=
"2. assertion"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.03"
steps=
"20"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.6.3"
expl=
"3. assertion"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"19"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.7"
expl=
"7. postcondition"
>
<goal
name=
"WP_parameter is_relaxed_prefix.7"
expl=
"7. postcondition"
expanded=
"true"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"44"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.8"
expl=
"8. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.8"
expl=
"8. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.9"
expl=
"9. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.9"
expl=
"9. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.10"
expl=
"10. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.10"
expl=
"10. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.11"
expl=
"11. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.11"
expl=
"11. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.03"
steps=
"26"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.12"
expl=
"12. index in array bounds"
>
<goal
name=
"WP_parameter is_relaxed_prefix.12"
expl=
"12. index in array bounds"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"11"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.13"
expl=
"13. index in array bounds"
>
<goal
name=
"WP_parameter is_relaxed_prefix.13"
expl=
"13. index in array bounds"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"11"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.14"
expl=
"14. assertion"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter is_relaxed_prefix.14.1"
expl=
"1. assertion"
>
<goal
name=
"WP_parameter is_relaxed_prefix.14"
expl=
"14. assertion"
expanded=
"true"
>
<transf
name=
"split_goal_wp"
expanded=
"true"
>
<goal
name=
"WP_parameter is_relaxed_prefix.14.1"
expl=
"1. assertion"
expanded=
"true"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"49"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.14.2"
expl=
"2. assertion"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"18"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.14.3"
expl=
"3. assertion"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.03"
steps=
"49"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.15"
expl=
"15. postcondition"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"
73
"
/></proof>
<goal
name=
"WP_parameter is_relaxed_prefix.15"
expl=
"15. postcondition"
expanded=
"true"
>
<proof
prover=
"1"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"
108
"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.16"
expl=
"16. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.16"
expl=
"16. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"15"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.17"
expl=
"17. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.17"
expl=
"17. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"15"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.18"
expl=
"18. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.18"
expl=
"18. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"15"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.19"
expl=
"19. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.19"
expl=
"19. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.10"
steps=
"50"
/></proof>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.01"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.20"
expl=
"20. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.20"
expl=
"20. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.21"
expl=
"21. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.21"
expl=
"21. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"15"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.22"
expl=
"22. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.22"
expl=
"22. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
steps=
"12"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.23"
expl=
"23. loop invariant preservation"
>
<goal
name=
"WP_parameter is_relaxed_prefix.23"
expl=
"23. loop invariant preservation"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.08"
steps=
"115"
/></proof>
</goal>
<goal
name=
"WP_parameter is_relaxed_prefix.24"
expl=
"24. postcondition"
>
<goal
name=
"WP_parameter is_relaxed_prefix.24"
expl=
"24. postcondition"
expanded=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.00"
steps=
"35"
/></proof>
</goal>
</transf>
...
...
examples/verifythis_2015_relaxed_prefix/why3shapes.gz
View file @
3a49aadb
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