Skip to content
GitLab
Commit 208569fe authored by Benedikt Becker's avatar Benedikt Becker
Browse files

Update examples for recursive destruct of conditionals and matches

parent f8fa9b99
Hide whitespace changes
Inline Side-by-side
examples/bts/264_destruct_if.mlw
View file @ 208569fe
use list.List
use list.Length
use int.Int
constant x: int
predicate p int
(**********************)
(* Simple destruction *)
(**********************)
axiom H: if x = 42 then p 1 else p 2
goal g: p 3
use list.List
use list.Length
use int.Int
goal g: p 0
constant l: list int
axiom H': match l with
axiom H1: match l with
| Nil -> p 4
| Cons x y -> p (x+length y)
| Cons _ (Cons y Nil) -> p y
......@@ -21,19 +24,64 @@ axiom H': match l with
| Cons _ (Cons _ (Cons _ _)) -> p 5
end
goal g': p 6
goal g1: p 1
(**********************)
(* As and or patterns *)
(**********************)
axiom H'': match l with
axiom H2: match l with
| Nil -> p 1
| Cons x Nil | Cons _ (Cons x Nil) -> p x
| Cons _ (Cons _ _ as l') -> p (length l')
| Cons _ (Cons _ _ as l1) -> p (length l1)
end
goal g'': p 7
goal g2: p 2
axiom H''': match l with
| Cons _ (Cons _ _ as l') as l'' -> p (length l'+length l'')
axiom H3: match l with
| Cons _ (Cons _ _ as l1) as l2 -> p (length l1+length l2)
| _ -> p 0
end
goal g''': p 8
\ No newline at end of file
goal g3: p 3
(*************************)
(* Recursive destruction *)
(*************************)
axiom H4:
if p x then
(if p (x+1) then
p 1
else
p 2)
else p 3
goal g4: p 4
axiom H5: match l with
| Cons x (Cons y _) ->
if x = y then
p 1 \/ p 2
else
p 3 /\ p 4
| _ -> true
end
(*********************************************************************************)
(* Interaction between recursive destruction of conditionals and of implications *)
(*********************************************************************************)
goal g5: p 5
axiom H6: p 1 -> if p 2 then p 3 else p 4
goal g6: p 6
axiom H7: if p 1 then p 2 -> p 3 else p 4
goal g7: p 7
axiom H8: if p 1 then if p 2 then (p 3 -> p 4) else p 5 else p 6
goal g8: p 8
\ No newline at end of file
examples/bts/264_destruct_if/why3session.xml
View file @ 208569fe
......@@ -14,37 +14,117 @@
</goal>
</transf>
</goal>
<goal name="g&#39;">
<transf name="destruct" arg1="H&#39;">
<goal name="g&#39;.0">
<goal name="g1">
<transf name="destruct" arg1="H1">
<goal name="g1.0">
</goal>
<goal name="g&#39;.1">
<goal name="g1.1">
</goal>
<goal name="g&#39;.2">
<goal name="g1.2">
</goal>
<goal name="g&#39;.3">
<goal name="g1.3">
</goal>
<goal name="g&#39;.4">
<goal name="g1.4">
</goal>
</transf>
</goal>
<goal name="g&#39;&#39;">
<transf name="destruct" arg1="H&#39;&#39;">
<goal name="g&#39;&#39;.0">
<goal name="g2">
<transf name="destruct" arg1="H2">
<goal name="g2.0">
</goal>
<goal name="g&#39;&#39;.1">
<goal name="g2.1">
</goal>
<goal name="g&#39;&#39;.2">
<goal name="g2.2">
</goal>
<goal name="g&#39;&#39;.3">
<goal name="g2.3">
</goal>
</transf>
</goal>
<goal name="g&#39;&#39;&#39;">
<transf name="destruct" arg1="H&#39;&#39;&#39;">
<goal name="g&#39;&#39;&#39;.0">
<goal name="g3">
<transf name="destruct" arg1="H3">
<goal name="g3.0">
</goal>
<goal name="g&#39;&#39;&#39;.1">
<goal name="g3.1">
</goal>
</transf>
</goal>
<goal name="g4">
<transf name="destruct" arg1="H4">
<goal name="g4.0">
</goal>
<goal name="g4.1">
</goal>
</transf>
<transf name="destruct_rec" arg1="H4">
<goal name="g4.0">
</goal>
<goal name="g4.1">
</goal>
<goal name="g4.2">
</goal>
</transf>
</goal>
<goal name="g5">
<transf name="destruct" arg1="H5">
<goal name="g5.0">
</goal>
<goal name="g5.1">
</goal>
</transf>
<transf name="destruct_rec" arg1="H5">
<goal name="g5.0">
</goal>
<goal name="g5.1">
</goal>
<goal name="g5.2">
</goal>
<goal name="g5.3">
</goal>
</transf>
</goal>
<goal name="g6">
<transf name="destruct" arg1="H6">
<goal name="g6.0" expl="destruct premise">
</goal>
<goal name="g6.1">
</goal>
</transf>
<transf name="destruct_rec" arg1="H6">
<goal name="g6.0" expl="destruct premise">
</goal>
<goal name="g6.1">
</goal>
<goal name="g6.2">
</goal>
</transf>
</goal>
<goal name="g7">
<transf name="destruct" arg1="H7">
<goal name="g7.0">
</goal>
<goal name="g7.1">
</goal>
</transf>
<transf name="destruct_rec" arg1="H7">
<goal name="g7.0">
</goal>
<goal name="g7.1">
</goal>
</transf>
</goal>
<goal name="g8">
<transf name="destruct" arg1="H8">
<goal name="g8.0">
</goal>
<goal name="g8.1">
</goal>
</transf>
<transf name="destruct_rec" arg1="H8">
<goal name="g8.0">
</goal>
<goal name="g8.1">
</goal>
<goal name="g8.2">
</goal>
</transf>
</goal>
......
Supports Markdown
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment