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Why3
why3
Commits
2b811033
Commit
2b811033
authored
Jun 15, 2011
by
Jean-Christophe
Browse files
same fringe: simplification of termination proof
parent
87c6bc75
Changes
2
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Inline
Side-by-side
examples/programs/same_fringe.mlw
View file @
2b811033
...
...
@@ -38,14 +38,7 @@ module SameFringe
(* the enum of a tree [t], prepended to a given enum [e] *)
logic leftlen (t: tree) : int = match t with
| Empty -> 0
| Node l _ _ -> 1 + leftlen l
end
lemma leftlen_nonneg: forall t: tree. leftlen t >= 0
let rec enum t e variant { leftlen t } =
let rec enum t e variant { length (elements t) } =
{ }
match t with
| Empty -> e
...
...
examples/programs/same_fringe/why3session.xml
View file @
2b811033
...
...
@@ -3,59 +3,68 @@
<why3session
name=
"examples/programs/same_fringe/why3session.xml"
>
<file
name=
"../same_fringe.mlw"
verified=
"true"
expanded=
"true"
>
<theory
name=
"SameFringe"
verified=
"true"
expanded=
"true"
>
<goal
name=
"leftlen_nonneg"
sum=
"d2d87a3927713430311330ea3f872f8d"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"coq"
timelimit=
"10"
edited=
"same_fringe.mlw_SameFringe_leftlen_nonneg_1.v"
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.59"
/>
</proof>
</goal>
<goal
name=
"WP_parameter enum"
expl=
"correctness of parameter enum"
sum=
"2dde99e9e4d7639b161a3faf6e97bf47"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.87"
/>
</proof>
<goal
name=
"WP_parameter enum"
expl=
"correctness of parameter enum"
sum=
"837cc2fd8bfff836407e3e8e9f570e95"
proved=
"true"
expanded=
"true"
>
<transf
name=
"split_goal"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter enum.1"
expl=
"correctness of parameter enum"
sum=
"ff13de762a4ee83598a46a358059e421"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
<goal
name=
"WP_parameter enum.2"
expl=
"correctness of parameter enum"
sum=
"96ed26af13b225ea4adceaa25a84110f"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.06"
/>
</proof>
</goal>
<goal
name=
"WP_parameter enum.3"
expl=
"correctness of parameter enum"
sum=
"29b38dccc0afba8ad3360269e53429ed"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.07"
/>
</proof>
</goal>
</transf>
</goal>
<goal
name=
"WP_parameter eq_enum"
expl=
"correctness of parameter eq_enum"
sum=
"
cb0dc47b965bccbbddec9afc19d506a6
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum"
expl=
"correctness of parameter eq_enum"
sum=
"
d4912d61fbf2442066c26b9e98cd3a7c
"
proved=
"true"
expanded=
"true"
>
<transf
name=
"split_goal"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.1"
expl=
"correctness of parameter eq_enum"
sum=
"
22293cfa748a377a7ef45ef9c269e46e
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.1"
expl=
"correctness of parameter eq_enum"
sum=
"
0ce8d1936f78b55a199ed67672f13816
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"cvc3"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.1
1
"
/>
<result
status=
"valid"
time=
"0.1
5
"
/>
</proof>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.0
4
"
/>
<result
status=
"valid"
time=
"0.0
8
"
/>
</proof>
<proof
prover=
"z3"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"
3.11
"
/>
<result
status=
"valid"
time=
"
6.48
"
/>
</proof>
</goal>
<goal
name=
"WP_parameter eq_enum.2"
expl=
"correctness of parameter eq_enum"
sum=
"
026769b58a16abea86cafcb8c45b893d
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.2"
expl=
"correctness of parameter eq_enum"
sum=
"
b0175f21a5cc4c1548c88a03a8f6ee69
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.
07
"
/>
<result
status=
"valid"
time=
"0.
14
"
/>
</proof>
</goal>
<goal
name=
"WP_parameter eq_enum.3"
expl=
"correctness of parameter eq_enum"
sum=
"
84a8181acf56c883f3115292701baf53
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.3"
expl=
"correctness of parameter eq_enum"
sum=
"
0536a657d884c2e3122ce33c56cf12e2
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
<goal
name=
"WP_parameter eq_enum.4"
expl=
"correctness of parameter eq_enum"
sum=
"
e5c26d89e960ac60062a2bbf332f621f
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.4"
expl=
"correctness of parameter eq_enum"
sum=
"
6b167a024ccbdc15b83645ab93446171
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.0
3
"
/>
<result
status=
"valid"
time=
"0.0
5
"
/>
</proof>
</goal>
<goal
name=
"WP_parameter eq_enum.5"
expl=
"correctness of parameter eq_enum"
sum=
"
72994225ed86ff50a7c92f47f77407a6
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.5"
expl=
"correctness of parameter eq_enum"
sum=
"
a9ff84965c0ee639a8951eeba6313bd1
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.0
2
"
/>
<result
status=
"valid"
time=
"0.0
3
"
/>
</proof>
</goal>
<goal
name=
"WP_parameter eq_enum.6"
expl=
"correctness of parameter eq_enum"
sum=
"
79a1095a08a00d64512e15170f9d196b
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter eq_enum.6"
expl=
"correctness of parameter eq_enum"
sum=
"
11cdc2edd2763334efdf4da7a0b0633d
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.0
3
"
/>
<result
status=
"valid"
time=
"0.0
4
"
/>
</proof>
</goal>
</transf>
</goal>
<goal
name=
"WP_parameter same_fringe"
expl=
"normal postcondition"
sum=
"
78714b83a0adc89473a2d8ca868bb95e
"
proved=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter same_fringe"
expl=
"normal postcondition"
sum=
"
c1a187d0841b65a4871309bcd63e2834
"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.0
3
"
/>
<result
status=
"valid"
time=
"0.0
4
"
/>
</proof>
</goal>
</theory>
...
...
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