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GitLab upgrade completed. Current version is 17.11.4.
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Why3
why3
Commits
eda3dfb6
Commit
eda3dfb6
authored
9 years ago
by
MARCHE Claude
Browse files
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fixed proofs
parent
4920bbf3
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3
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3 changed files
examples/dfa_example.mlw
+19
-3
19 additions, 3 deletions
examples/dfa_example.mlw
examples/dfa_example/why3session.xml
+48
-41
48 additions, 41 deletions
examples/dfa_example/why3session.xml
examples/dfa_example/why3shapes.gz
+0
-0
0 additions, 0 deletions
examples/dfa_example/why3shapes.gz
with
67 additions
and
44 deletions
examples/dfa_example.mlw
+
19
−
3
View file @
eda3dfb6
...
@@ -46,12 +46,28 @@ module DfaExample
...
@@ -46,12 +46,28 @@ module DfaExample
all_in_r0 r
all_in_r0 r
end
end
lemma end
s
_with_one:
lemma
words_in_r1_
end_with_one:
forall w: list char.
forall w: list char.
mem w r1 <-> exists w': list char. w = w' ++ Cons One Nil
mem w r1 <-> exists w': list char. w = w' ++ Cons One Nil
lemma zero_w_in_r1: forall w: list char. mem w r1 <-> mem (Cons Zero w) r1
let lemma words_in_r1_suffix_in_r1 (c c':char) (w: list char)
lemma one_w_in_r1: forall w: list char. mem w r2 <-> mem (Cons One w) r1
requires { mem (Cons c (Cons c' w)) r1 }
ensures { mem (Cons c' w) r1 }
= assert { exists w'. (Cons c (Cons c' w)) = w' ++ Cons One Nil }
let lemma zero_w_in_r1 (w: list char)
ensures { mem w r1 <-> mem (Cons Zero w) r1 }
= assert { mem (Cons Zero w) r1 ->
exists w'. (Cons Zero w) = w' ++ Cons One Nil }
let lemma one_w_in_r1 (w: list char)
ensures { mem w r2 <-> mem (Cons One w) r1 }
= match w with
| Nil -> ()
| Cons c r ->
assert { mem w r2 -> mem w r1 };
assert { mem (Cons One (Cons c r)) r1 -> mem w r1 }
end
lemma zero_w_in_r2: forall w: list char. mem w r1 <-> mem (Cons Zero w) r2
lemma zero_w_in_r2: forall w: list char. mem w r1 <-> mem (Cons Zero w) r2
lemma one_w_in_r2: forall w: list char. mem w r2 <-> mem (Cons One w) r2
lemma one_w_in_r2: forall w: list char. mem w r2 <-> mem (Cons One w) r2
...
...
This diff is collapsed.
Click to expand it.
examples/dfa_example/why3session.xml
+
48
−
41
View file @
eda3dfb6
...
@@ -3,14 +3,13 @@
...
@@ -3,14 +3,13 @@
"http://why3.lri.fr/why3session.dtd">
"http://why3.lri.fr/why3session.dtd">
<why3session
shape_version=
"4"
>
<why3session
shape_version=
"4"
>
<prover
id=
"0"
name=
"Coq"
version=
"8.4pl4"
timelimit=
"8"
memlimit=
"1000"
/>
<prover
id=
"0"
name=
"Coq"
version=
"8.4pl4"
timelimit=
"8"
memlimit=
"1000"
/>
<prover
id=
"2"
name=
"CVC3"
version=
"2.4.1"
timelimit=
"8"
memlimit=
"4000"
/>
<prover
id=
"1"
name=
"CVC4"
version=
"1.4"
timelimit=
"5"
memlimit=
"1000"
/>
<prover
id=
"3"
name=
"Z3"
version=
"4.3.1"
timelimit=
"5"
memlimit=
"4000"
/>
<prover
id=
"4"
name=
"Z3"
version=
"3.2"
timelimit=
"5"
memlimit=
"4000"
/>
<prover
id=
"4"
name=
"Z3"
version=
"3.2"
timelimit=
"5"
memlimit=
"4000"
/>
<prover
id=
"5"
name=
"Alt-Ergo"
version=
"0.95.2"
timelimit=
"5"
memlimit=
"4000"
/>
<prover
id=
"5"
name=
"Alt-Ergo"
version=
"0.95.2"
timelimit=
"5"
memlimit=
"4000"
/>
<prover
id=
"
6
"
name=
"
CVC4
"
version=
"
1.3
"
timelimit=
"5"
memlimit=
"
4
000"
/>
<prover
id=
"
7
"
name=
"
Alt-Ergo
"
version=
"
0.99.1
"
timelimit=
"5"
memlimit=
"
1
000"
/>
<prover
id=
"
7
"
name=
"
Alt-Ergo
"
version=
"
0.99.1
"
timelimit=
"
8
"
memlimit=
"1000"
/>
<prover
id=
"
8
"
name=
"
Z3
"
version=
"
4.4.0
"
timelimit=
"
5
"
memlimit=
"1000"
/>
<file
name=
"../dfa_example.mlw"
expanded=
"true"
>
<file
name=
"../dfa_example.mlw"
expanded=
"true"
>
<theory
name=
"DfaExample"
sum=
"66
4b149b9dfe62c43b205fb79b9f4fae
"
expanded=
"true"
>
<theory
name=
"DfaExample"
sum=
"66
0b70fa1d4035d9e6c3f57fd8521252
"
expanded=
"true"
>
<goal
name=
"nil_notin_r1"
>
<goal
name=
"nil_notin_r1"
>
<proof
prover=
"0"
edited=
"dfa_example_DfaExample_nil_notin_r1_1.v"
><result
status=
"valid"
time=
"0.86"
/></proof>
<proof
prover=
"0"
edited=
"dfa_example_DfaExample_nil_notin_r1_1.v"
><result
status=
"valid"
time=
"0.86"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.10"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.10"
/></proof>
...
@@ -19,88 +18,96 @@
...
@@ -19,88 +18,96 @@
<goal
name=
"WP_parameter all_in_r0"
expl=
"VC for all_in_r0"
>
<goal
name=
"WP_parameter all_in_r0"
expl=
"VC for all_in_r0"
>
<proof
prover=
"5"
><result
status=
"valid"
time=
"0.40"
steps=
"1040"
/></proof>
<proof
prover=
"5"
><result
status=
"valid"
time=
"0.40"
steps=
"1040"
/></proof>
</goal>
</goal>
<goal
name=
"ends_with_one"
>
<goal
name=
"words_in_r1_end_with_one"
>
<proof
prover=
"8"
><result
status=
"valid"
time=
"0.06"
/></proof>
</goal>
<goal
name=
"WP_parameter words_in_r1_suffix_in_r1"
expl=
"VC for words_in_r1_suffix_in_r1"
>
<transf
name=
"split_goal_wp"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"ends_with_one.1"
expl=
"1."
>
<goal
name=
"WP_parameter words_in_r1_suffix_in_r1.1"
expl=
"1. assertion"
>
<proof
prover=
"2"
timelimit=
"5"
><result
status=
"valid"
time=
"0.76"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.04"
steps=
"78"
/></proof>
<proof
prover=
"3"
><result
status=
"valid"
time=
"0.10"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.03"
/></proof>
</goal>
</goal>
<goal
name=
"ends_with_one.2"
expl=
"2."
>
<goal
name=
"WP_parameter words_in_r1_suffix_in_r1.2"
expl=
"2. postcondition"
>
<proof
prover=
"3"
><result
status=
"valid"
time=
"0.01"
/></proof>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.15"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.01"
/></proof>
<proof
prover=
"5"
><result
status=
"valid"
time=
"0.02"
steps=
"10"
/></proof>
<proof
prover=
"6"
><result
status=
"valid"
time=
"0.03"
/></proof>
</goal>
</goal>
</transf>
</transf>
</goal>
</goal>
<goal
name=
"zero_w_in_r1"
>
<goal
name=
"
WP_parameter zero_w_in_r1"
expl=
"VC for
zero_w_in_r1"
>
<proof
prover=
"
4
"
><result
status=
"valid"
time=
"0.
06
"
/></proof>
<proof
prover=
"
8
"
><result
status=
"valid"
time=
"0.
38
"
/></proof>
</goal>
</goal>
<goal
name=
"one_w_in_r1"
>
<goal
name=
"WP_parameter one_w_in_r1"
expl=
"VC for one_w_in_r1"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.20"
/></proof>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter one_w_in_r1.1"
expl=
"1. postcondition"
>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.28"
steps=
"385"
/></proof>
</goal>
<goal
name=
"WP_parameter one_w_in_r1.2"
expl=
"2. assertion"
>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.68"
steps=
"895"
/></proof>
</goal>
<goal
name=
"WP_parameter one_w_in_r1.3"
expl=
"3. assertion"
>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.04"
steps=
"40"
/></proof>
</goal>
<goal
name=
"WP_parameter one_w_in_r1.4"
expl=
"4. postcondition"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter one_w_in_r1.4.1"
expl=
"1. postcondition"
>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.25"
steps=
"337"
/></proof>
</goal>
<goal
name=
"WP_parameter one_w_in_r1.4.2"
expl=
"2. postcondition"
>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.01"
steps=
"11"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</goal>
<goal
name=
"zero_w_in_r2"
>
<goal
name=
"zero_w_in_r2"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.50"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.04"
steps=
"75"
/></proof>
<proof
prover=
"5"
><result
status=
"valid"
time=
"0.27"
steps=
"993"
/></proof>
</goal>
</goal>
<goal
name=
"one_w_in_r2"
>
<goal
name=
"one_w_in_r2"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.47"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.03"
steps=
"76"
/></proof>
<proof
prover=
"5"
><result
status=
"valid"
time=
"0.21"
steps=
"577"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1"
expl=
"VC for astate1"
>
<goal
name=
"WP_parameter astate1"
expl=
"VC for astate1"
>
<transf
name=
"split_goal_wp"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter astate1.1"
expl=
"1. postcondition"
>
<goal
name=
"WP_parameter astate1.1"
expl=
"1. postcondition"
>
<proof
prover=
"2"
timelimit=
"20"
memlimit=
"1000"
><result
status=
"valid"
time=
"0.09"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.02"
steps=
"45"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.03"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.2"
expl=
"2. variant decrease"
>
<goal
name=
"WP_parameter astate1.2"
expl=
"2. variant decrease"
>
<proof
prover=
"
5
"
><result
status=
"valid"
time=
"0.02"
steps=
"
4
2"
/></proof>
<proof
prover=
"
7
"
><result
status=
"valid"
time=
"0.02"
steps=
"2
7
"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.3"
expl=
"3. postcondition"
>
<goal
name=
"WP_parameter astate1.3"
expl=
"3. postcondition"
>
<transf
name=
"split_goal_wp"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter astate1.3.1"
expl=
"1. postcondition"
>
<goal
name=
"WP_parameter astate1.3.1"
expl=
"1. postcondition"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.02"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.04"
steps=
"9"
/></proof>
<proof
prover=
"7"
timelimit=
"20"
><result
status=
"valid"
time=
"0.04"
steps=
"9"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.3.2"
expl=
"2. postcondition"
>
<goal
name=
"WP_parameter astate1.3.2"
expl=
"2. postcondition"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.03"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.06"
steps=
"48"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.06"
steps=
"48"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.3.3"
expl=
"3. postcondition"
>
<goal
name=
"WP_parameter astate1.3.3"
expl=
"3. postcondition"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.03"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.05"
steps=
"37"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.05"
steps=
"37"
/></proof>
</goal>
</goal>
</transf>
</transf>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.4"
expl=
"4. variant decrease"
>
<goal
name=
"WP_parameter astate1.4"
expl=
"4. variant decrease"
>
<proof
prover=
"
5
"
><result
status=
"valid"
time=
"0.02"
steps=
"
4
2"
/></proof>
<proof
prover=
"
7
"
><result
status=
"valid"
time=
"0.02"
steps=
"2
7
"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate1.5"
expl=
"5. postcondition"
>
<goal
name=
"WP_parameter astate1.5"
expl=
"5. postcondition"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.10"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.12"
steps=
"244"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.12"
steps=
"246"
/></proof>
</goal>
</goal>
</transf>
</transf>
</goal>
</goal>
<goal
name=
"WP_parameter astate2"
expl=
"VC for astate2"
>
<goal
name=
"WP_parameter astate2"
expl=
"VC for astate2"
>
<transf
name=
"split_goal_wp"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"WP_parameter astate2.1"
expl=
"1. postcondition"
>
<goal
name=
"WP_parameter astate2.1"
expl=
"1. postcondition"
>
<proof
prover=
"2"
memlimit=
"1000"
><result
status=
"valid"
time=
"0.09"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.02"
steps=
"62"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.05"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate2.2"
expl=
"2. variant decrease"
>
<goal
name=
"WP_parameter astate2.2"
expl=
"2. variant decrease"
>
<proof
prover=
"
5
"
><result
status=
"valid"
time=
"0.02"
steps=
"
4
2"
/></proof>
<proof
prover=
"
7
"
><result
status=
"valid"
time=
"0.02"
steps=
"2
7
"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate2.3"
expl=
"3. postcondition"
>
<goal
name=
"WP_parameter astate2.3"
expl=
"3. postcondition"
>
<proof
prover=
"2"
memlimit=
"1000"
><result
status=
"valid"
time=
"0.09"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.06"
steps=
"197"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.16"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate2.4"
expl=
"4. variant decrease"
>
<goal
name=
"WP_parameter astate2.4"
expl=
"4. variant decrease"
>
<proof
prover=
"
5
"
><result
status=
"valid"
time=
"0.02"
steps=
"
4
2"
/></proof>
<proof
prover=
"
7
"
><result
status=
"valid"
time=
"0.02"
steps=
"2
7
"
/></proof>
</goal>
</goal>
<goal
name=
"WP_parameter astate2.5"
expl=
"5. postcondition"
>
<goal
name=
"WP_parameter astate2.5"
expl=
"5. postcondition"
>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.13"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.12"
steps=
"151"
/></proof>
<proof
prover=
"7"
><result
status=
"valid"
time=
"0.12"
steps=
"152"
/></proof>
</goal>
</goal>
</transf>
</transf>
</goal>
</goal>
...
...
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