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Why3
why3
Commits
d2fad71d
Commit
d2fad71d
authored
May 27, 2011
by
Jean-Christophe Filliâtre
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factorial example updated and added to the nightly bench
parent
fe8cd6a9
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3 changed files
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58 additions
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15 deletions
+58
-15
.gitignore
.gitignore
+3
-0
examples/programs/fact.mlw
examples/programs/fact.mlw
+33
-15
examples/programs/fact/why3session.xml
examples/programs/fact/why3session.xml
+22
-0
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.gitignore
View file @
d2fad71d
...
...
@@ -34,6 +34,9 @@ why.conf
/bench/programs/good/see/
/bench/programs/good/set/
/bench/programs/good/recfun/
/bench/programs/good/loops/
/bench/programs/good/po/
/bench/valid/list/
# /bin/
/bin/why3.byte
...
...
examples/programs/fact.mlw
View file @
d2fad71d
...
...
@@ -10,23 +10,41 @@ theory Fact "Factorial"
end
module FactRecursive
use import Fact
use import int.Int
let rec fact_rec (x:int) : int variant {x} =
{ x >= 0 }
if x = 0 then 1 else x * fact_rec (x-1)
{ result = fact x }
end
module FactImperative
use import Fact
use import int.Int
use import module ref.Ref
let fact_imp (x:int) : int =
{ x >= 0 }
let y = ref 0 in
let r = ref 1 in
while !y < x do
invariant { 0 <= !y <= x and !r = fact !y }
y := !y + 1;
r := !r * !y
done;
!r
{ result = fact x }
use import Fact
use import int.Int
use import module ref.Ref
let fact_imp (x:int) : int =
{ x >= 0 }
let y = ref 0 in
let r = ref 1 in
while !y < x do
invariant { 0 <= !y <= x and !r = fact !y }
y := !y + 1;
r := !r * !y
done;
!r
{ result = fact x }
end
(*
Local Variables:
compile-command: "unset LANG; make -C ../.. examples/programs/fact.gui"
End:
*)
examples/programs/fact/why3session.xml
0 → 100644
View file @
d2fad71d
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE why3session SYSTEM "why3session.dtd">
<why3session
name=
"examples/programs/fact/why3session.xml"
>
<file
name=
"../fact.mlw"
verified=
"true"
expanded=
"true"
>
<theory
name=
"Fact"
verified=
"true"
expanded=
"true"
>
</theory>
<theory
name=
"FactRecursive"
verified=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter fact_rec"
expl=
"correctness of parameter fact_rec"
sum=
"26ddbd98b20d38d8cc8174af1ddddb03"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.02"
/>
</proof>
</goal>
</theory>
<theory
name=
"FactImperative"
verified=
"true"
expanded=
"true"
>
<goal
name=
"WP_parameter fact_imp"
expl=
"correctness of parameter fact_imp"
sum=
"e351701b7425629858770982d2abae90"
proved=
"true"
expanded=
"true"
>
<proof
prover=
"alt-ergo"
timelimit=
"10"
edited=
""
obsolete=
"false"
>
<result
status=
"valid"
time=
"0.03"
/>
</proof>
</goal>
</theory>
</file>
</why3session>
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