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Why3
why3
Commits
3b914df5
Commit
3b914df5
authored
Mar 09, 2018
by
MARCHE Claude
Browse files
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Plain Diff
document syntax change: meta on propositions
parent
48403746
Changes
4
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4 changed files
with
105 additions
and
112 deletions
+105
-112
doc/manual.tex
doc/manual.tex
+2
-0
tests/demo-itp.mlw
tests/demo-itp.mlw
+10
-10
tests/demo-itp/why3session.xml
tests/demo-itp/why3session.xml
+93
-102
tests/demo-itp/why3shapes.gz
tests/demo-itp/why3shapes.gz
+0
-0
No files found.
doc/manual.tex
View file @
3b914df5
...
...
@@ -315,6 +315,8 @@ egalite sur les type algebriques ? engendrees automatiquement ?
\hline
\texttt
{
"attribute"
}
&
\texttt
{
[@attribute]
}
\\
\hline
\texttt
{
meta M prop P
}
&
\texttt
{
meta M lemma P
}
or
\texttt
{
meta M axiom P
}
or
\texttt
{
meta M goal P
}
\\
\hline
\end{tabular}
\end{center}
...
...
tests/demo-itp.mlw
View file @
3b914df5
...
...
@@ -12,15 +12,15 @@ module ApplyRewrite
use HighOrd
axiom H: forall x. (
\z: int.
x + z) = f x
axiom H: forall x. (
fun (z: int) ->
x + z) = f x
goal g1: (
\toto.
42 + toto) = f 42
goal g1: (
fun toto ->
42 + toto) = f 42
axiom Ha: forall x. (
\z: int.
x + z) 2 = 2
axiom Ha: forall x. (
fun (z: int) ->
x + z) 2 = 2
goal g3: (
\toto.
42 + toto) 2 = 2
goal g3: (
fun toto ->
42 + toto) 2 = 2
goal g2: (
\y.
y + y) = f 24
goal g2: (
fun y ->
y + y) = f 24
end
module A
...
...
@@ -34,7 +34,7 @@ module A
goal g1: exists x. f x = x + 42
goal g: (
\y.
f y) 0 = 3
goal g: (
fun y ->
f y) 0 = 3
constant b: bool
...
...
@@ -52,9 +52,9 @@ module Soundness
function f0 (x y z:int) : int = x * y + z
predicate p (f:int -> int) =
f (-1) = 0 && forall n:int. f n = f 0 + (f 1 - f 0) * n
lemma A : forall y z:int. p (
\x.
f0 x y z) <-> y = z
meta rewrite
prop
A
lemma Fail : 0 = 0 /\ p (
\x.
f0 x x x)
lemma A : forall y z:int. p (
fun x ->
f0 x y z) <-> y = z
meta rewrite
lemma
A
lemma Fail : 0 = 0 /\ p (
fun x ->
f0 x x x)
lemma Absurd : false
end
...
...
@@ -62,7 +62,7 @@ module TestCEX
use import int.Int
goal g: forall x
"model"
. x=0
goal g: forall x. x=0
end
...
...
tests/demo-itp/why3session.xml
View file @
3b914df5
...
...
@@ -8,13 +8,13 @@
<prover
id=
"3"
name=
"CVC4"
version=
"1.4"
timelimit=
"1"
steplimit=
"0"
memlimit=
"1000"
/>
<prover
id=
"4"
name=
"Z3"
version=
"4.6.0"
timelimit=
"1"
steplimit=
"0"
memlimit=
"1000"
/>
<prover
id=
"5"
name=
"Eprover"
version=
"2.0"
timelimit=
"5"
steplimit=
"0"
memlimit=
"1000"
/>
<prover
id=
"6"
name=
"Alt-Ergo"
version=
"2.0.0"
timelimit=
"
5
"
steplimit=
"0"
memlimit=
"1000"
/>
<prover
id=
"6"
name=
"Alt-Ergo"
version=
"2.0.0"
timelimit=
"
1
"
steplimit=
"0"
memlimit=
"1000"
/>
<file
name=
"../demo-itp.mlw"
>
<theory
name=
"Naming"
sum=
"887148d0be0266efa5001ad2fedbe72e"
>
<theory
name=
"Naming"
>
<goal
name=
"G"
>
</goal>
</theory>
<theory
name=
"ApplyRewrite"
sum=
"a5d903eba2570fb4645483c4ff500ebb"
>
<theory
name=
"ApplyRewrite"
>
<goal
name=
"g1"
proved=
"true"
>
<transf
name=
"apply"
proved=
"true"
arg1=
"H"
>
</transf>
...
...
@@ -36,7 +36,7 @@
</transf>
</goal>
</theory>
<theory
name=
"A"
sum=
"1abc5293356c4003ce35806f735459dc"
>
<theory
name=
"A"
>
<goal
name=
"g1"
proved=
"true"
>
<transf
name=
"apply"
proved=
"true"
arg1=
"H"
>
</transf>
...
...
@@ -50,72 +50,75 @@
<goal
name=
"gb"
>
</goal>
</theory>
<theory
name=
"Soundness"
sum=
"aa1c41b51a76f536179c52b8dcf8a473"
>
<goal
name=
"A"
proved=
"true"
>
<proof
prover=
"2"
timelimit=
"5"
><result
status=
"valid"
time=
"0.24"
/></proof>
<theory
name=
"Soundness"
>
<goal
name=
"A"
>
<proof
prover=
"2"
timelimit=
"5"
obsolete=
"true"
><result
status=
"valid"
time=
"0.24"
/></proof>
</goal>
<goal
name=
"Fail"
>
<transf
name=
"assert"
arg1=
"(forall y:int, z:int. y = z -> p (
\ x:int.
f0 x y z))"
>
<transf
name=
"assert"
arg1=
"(forall y:int, z:int. y = z -> p (
fun (x:int) ->
f0 x y z))"
>
<goal
name=
"Fail.0"
proved=
"true"
>
<proof
prover=
"2"
timelimit=
"5"
><result
status=
"valid"
time=
"0.21
"
/></proof>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.10
"
/></proof>
</goal>
<goal
name=
"Fail.1"
>
<transf
name=
"compute_specified"
>
<goal
name=
"Fail.1.0"
>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"4"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"6"
><result
status=
"timeout"
time=
"1.01"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal
name=
"Absurd"
proved=
"true"
>
<proof
prover=
"2"
timelimit=
"5"
><result
status=
"valid"
time=
"0.02"
/></proof>
<goal
name=
"Absurd"
>
<proof
prover=
"2"
timelimit=
"5"
obsolete=
"true"
><result
status=
"valid"
time=
"0.02"
/></proof>
</goal>
</theory>
<theory
name=
"TestCEX"
sum=
"55ceea8b24a88c1829a53af2c814f1a6"
>
<theory
name=
"TestCEX"
>
<goal
name=
"g"
>
<proof
prover=
"2"
timelimit=
"5"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"2"
timelimit=
"5"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
</goal>
</theory>
<theory
name=
"TestCopyPaste"
sum=
"22d35cc9b3a5547f481892208f0547bc"
>
<theory
name=
"TestCopyPaste"
>
<goal
name=
"g1"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"g1.0"
>
<proof
prover=
"6"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"6"
timelimit=
"5"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
</goal>
<goal
name=
"g1.1"
>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"3"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"4"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"6"
timelimit=
"1
"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"2"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"3"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"4"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"6"
obsolete=
"true
"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"g2"
>
<transf
name=
"split_goal_wp"
>
<goal
name=
"g2.0"
>
<proof
prover=
"6"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"6"
timelimit=
"5"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
<goal
name=
"g2.1"
>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"3"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"4"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"6"
timelimit=
"1
"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"2"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"3"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"4"
obsolete=
"true"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"6"
obsolete=
"true
"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
<goal
name=
"g2.2"
>
<proof
prover=
"5"
><result
status=
"timeout"
time=
"4.89"
/></proof>
<proof
prover=
"5"
obsolete=
"true"
><result
status=
"timeout"
time=
"4.89"
/></proof>
</goal>
</transf>
</goal>
</theory>
<theory
name=
"M"
proved=
"true"
sum=
"d41d8cd98f00b204e9800998ecf8427e"
>
<theory
name=
"M"
proved=
"true"
>
</theory>
<theory
name=
"TestWarnings"
sum=
"aeca3388f2e65d42f78feba3152450b6"
>
<theory
name=
"TestWarnings"
>
<goal
name=
"g1"
>
</goal>
<goal
name=
"g2"
>
</goal>
</theory>
<theory
name=
"TestTaskPrinting"
sum=
"01fbd777d08f356d2f390e335249eeb9"
>
<theory
name=
"TestTaskPrinting"
>
<goal
name=
"g1"
>
</goal>
<goal
name=
"g2"
>
...
...
@@ -133,25 +136,35 @@
<goal
name=
"g8"
>
</goal>
</theory>
<theory
name=
"TestAutomaticIntro"
sum=
"6566463f1ee0314d808add53aa21307c"
>
<theory
name=
"TestAutomaticIntro"
>
<goal
name=
"g"
>
</goal>
</theory>
<theory
name=
"TestInduction"
sum=
"7cd4f889593553a3efe96040db1cbe94"
>
<theory
name=
"TestInduction"
>
<goal
name=
"g"
>
<transf
name=
"induction"
arg1=
"n"
>
<goal
name=
"g.0"
expl=
"base case"
>
</goal>
<goal
name=
"g.1"
expl=
"recursive case"
>
<transf
name=
"introduce_premises"
>
<goal
name=
"g.0"
>
<transf
name=
"induction"
arg1=
"n"
>
<goal
name=
"g.0.0"
expl=
"base case"
>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.01"
/></proof>
<proof
prover=
"4"
><result
status=
"unknown"
time=
"0.02"
/></proof>
<proof
prover=
"6"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
<goal
name=
"g.0.1"
expl=
"recursive case"
>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<proof
prover=
"4"
><result
status=
"unknown"
time=
"0.02"
/></proof>
<proof
prover=
"6"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</theory>
<theory
name=
"TestInfixSymbols"
sum=
"1e2101112f2c37523da345d6bab356e6"
>
<theory
name=
"TestInfixSymbols"
>
<goal
name=
"g"
>
</goal>
</theory>
<theory
name=
"TestAutoFocus"
sum=
"bd282d677ea02bff5e05e03fd51a598a"
>
<theory
name=
"TestAutoFocus"
>
<goal
name=
"g0"
>
</goal>
<goal
name=
"g1"
>
...
...
@@ -159,7 +172,7 @@
<goal
name=
"g2"
>
</goal>
</theory>
<theory
name=
"TestRewritePoly"
sum=
"f0130f227c41947e0998709cc1c49883"
>
<theory
name=
"TestRewritePoly"
>
<goal
name=
"g"
>
<transf
name=
"rewrite"
arg1=
"Append_assoc"
>
<goal
name=
"g.0"
>
...
...
@@ -167,51 +180,52 @@
</transf>
</goal>
</theory>
<theory
name=
"Power"
sum=
"53cae56d1419c17b838380453eb24720"
>
<goal
name=
"power_1"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.17"
/></proof>
<theory
name=
"Power"
>
<goal
name=
"power_1"
>
<proof
prover=
"1"
obsolete=
"true"
><result
status=
"valid"
time=
"0.17"
/></proof>
</goal>
<goal
name=
"sqrt4_256"
proved=
"true"
>
<transf
name=
"exists"
proved=
"true"
arg1=
"4"
>
<goal
name=
"sqrt4_256.0"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.04"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.00"
/></proof>
<proof
prover=
"4"
><result
status=
"valid"
time=
"0.05"
/></proof>
</goal>
</transf>
</goal>
<goal
name=
"power_sum"
proved=
"true"
>
<transf
name=
"induction"
proved=
"true"
arg1=
"n"
>
<goal
name=
"power_sum.0"
expl=
"base case"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.00"
/></proof>
</goal>
<goal
name=
"power_sum.1"
expl=
"recursive case"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.87"
steps=
"15"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.01"
/></proof>
<transf
name=
"case"
proved=
"true"
arg1=
"(n=0)"
>
<goal
name=
"power_sum.1.0"
expl=
"true case (recursive case)"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.00"
/></proof>
<transf
name=
"introduce_premises"
proved=
"true"
>
<goal
name=
"power_sum.0"
proved=
"true"
>
<transf
name=
"induction"
proved=
"true"
arg1=
"n"
>
<goal
name=
"power_sum.0.0"
expl=
"base case"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.02"
/></proof>
</goal>
<goal
name=
"power_sum.1.1"
expl=
"false case (recursive case)"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.10"
/></proof>
<proof
prover=
"3"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<goal
name=
"power_sum.0.1"
expl=
"recursive case"
proved=
"true"
>
<transf
name=
"case"
proved=
"true"
arg1=
"(n=0)"
>
<goal
name=
"power_sum.0.1.0"
expl=
"true case (recursive case)"
proved=
"true"
>
<proof
prover=
"1"
><result
status=
"valid"
time=
"0.01"
/></proof>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
<goal
name=
"power_sum.0.1.1"
expl=
"false case (recursive case)"
proved=
"true"
>
<transf
name=
"instantiate"
proved=
"true"
arg1=
"Hrec"
arg2=
"(n-1)"
>
<goal
name=
"power_sum.0.1.1.0"
expl=
"false case (recursive case)"
proved=
"true"
>
<transf
name=
"replace"
proved=
"true"
arg1=
"(n+m)"
arg2=
"((n-1)+m+1)"
>
<goal
name=
"power_sum.0.1.1.0.0"
expl=
"false case (recursive case)"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.09"
steps=
"15"
/></proof>
</goal>
<goal
name=
"power_sum.0.1.1.0.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
</transf>
<transf
name=
"instantiate"
proved=
"true"
arg1=
"Hrec"
arg2=
"(n-1)"
>
<goal
name=
"power_sum.1.1.0"
expl=
"false case (recursive case)"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"timeout"
time=
"1.01"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"3"
><result
status=
"unknown"
time=
"0.00"
/></proof>
<goal
name=
"power_sum.0.1.0"
expl=
"recursive case"
proved=
"true"
>
<transf
name=
"replace"
proved=
"true"
arg1=
"(n+m)"
arg2=
"((n-1)+m+1)"
>
<goal
name=
"power_sum.1.1.0.0"
expl=
"false case (recursive case)"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.08"
steps=
"14"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<goal
name=
"power_sum.0.1.0.0"
expl=
"recursive case"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.11"
steps=
"14"
/></proof>
</goal>
<goal
name=
"power_sum.
1
.1.0.1"
proved=
"true"
>
<goal
name=
"power_sum.
0
.1.0.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
...
...
@@ -219,43 +233,20 @@
</transf>
</goal>
</transf>
<transf
name=
"instantiate"
proved=
"true"
arg1=
"Hrec"
arg2=
"(n-1)"
>
<goal
name=
"power_sum.1.0"
expl=
"recursive case"
proved=
"true"
>
<transf
name=
"replace"
proved=
"true"
arg1=
"(n+m)"
arg2=
"((n-1)+m+1)"
>
<goal
name=
"power_sum.1.0.0"
expl=
"recursive case"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.22"
steps=
"29"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"timeout"
time=
"1.00"
/></proof>
</goal>
<goal
name=
"power_sum.1.0.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
</goal>
</transf>
<transf
name=
"replace"
arg1=
"(n+m)"
arg2=
"((n-1)+m+1)"
>
<goal
name=
"power_sum.1.0"
expl=
"recursive case"
>
<proof
prover=
"0"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"1.74"
/></proof>
<proof
prover=
"3"
><result
status=
"unknown"
time=
"0.01"
/></proof>
</goal>
<goal
name=
"power_sum.1.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
<goal
name=
"power_0_left"
proved=
"true"
>
<transf
name=
"
replace"
proved=
"true"
arg1=
"n"
arg2=
"(n-1+1)"
>
<transf
name=
"
introduce_premises"
proved=
"true"
>
<goal
name=
"power_0_left.0"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.00"
steps=
"4"
/></proof>
<proof
prover=
"1"
><result
status=
"timeout"
time=
"1.00"
/></proof>
<proof
prover=
"2"
><result
status=
"unknown"
time=
"0.98"
/></proof>
</goal>
<goal
name=
"power_0_left.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
<transf
name=
"replace"
proved=
"true"
arg1=
"n"
arg2=
"(n-1+1)"
>
<goal
name=
"power_0_left.0.0"
proved=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.00"
steps=
"4"
/></proof>
</goal>
<goal
name=
"power_0_left.0.1"
proved=
"true"
>
<proof
prover=
"2"
><result
status=
"valid"
time=
"0.00"
/></proof>
</goal>
</transf>
</goal>
</transf>
</goal>
...
...
tests/demo-itp/why3shapes.gz
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