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Why3
why3
Commits
981dfbea
Commit
981dfbea
authored
Sep 04, 2015
by
David Hauzar
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Merge branch 'master' of
git+ssh://scm.gforge.inria.fr//gitroot/why3/why3
parents
14dedf27
41cbd5c6
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examples/binary_multiplication.mlw
examples/binary_multiplication.mlw
+25
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examples/binary_multiplication/why3session.xml
examples/binary_multiplication/why3session.xml
+13
-0
examples/binary_multiplication/why3shapes.gz
examples/binary_multiplication/why3shapes.gz
+0
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examples/binary_multiplication.mlw
0 → 100644
View file @
981dfbea
module BinaryMultiplication
use import mach.int.Int
use import number.Parity
use import ref.Ref
let binary_mult (a b: int)
requires { b >= 0 }
ensures { result = a * b }
= let x = ref a in
let y = ref b in
let z = ref 0 in
while !y <> 0 do
invariant { 0 <= !y }
invariant { !z + !x * !y = a * b }
variant { !y }
if odd !y then z := !z + !x;
x := 2 * !x;
y := !y / 2
done;
!z
end
examples/binary_multiplication/why3session.xml
0 → 100644
View file @
981dfbea
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session PUBLIC "-//Why3//proof session v5//EN"
"http://why3.lri.fr/why3session.dtd">
<why3session
shape_version=
"4"
>
<prover
id=
"0"
name=
"Alt-Ergo"
version=
"0.99.1"
timelimit=
"11"
memlimit=
"1000"
/>
<file
name=
"../binary_multiplication.mlw"
expanded=
"true"
>
<theory
name=
"BinaryMultiplication"
sum=
"4446a95f7ced5daf85b69dec1d36a0fd"
expanded=
"true"
>
<goal
name=
"WP_parameter binary_mult"
expl=
"VC for binary_mult"
expanded=
"true"
>
<proof
prover=
"0"
><result
status=
"valid"
time=
"0.74"
steps=
"88"
/></proof>
</goal>
</theory>
</file>
</why3session>
examples/binary_multiplication/why3shapes.gz
0 → 100644
View file @
981dfbea
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