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-rw-r--r--Chalice/tests/refinements/DSW.chalice119
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diff --git a/Chalice/tests/refinements/DSW.chalice b/Chalice/tests/refinements/DSW.chalice
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--- a/Chalice/tests/refinements/DSW.chalice
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@@ -1,119 +0,0 @@
-// Schorr-Waite algorithm in Chalice
-// (see Test/dafny1/SchorrWaite.dfy)
-
-class Node {
- var children: seq<Node>;
- var marked: bool;
- ghost var path: seq<Node>;
-
- var parent: Node;
-}
-
-class DSW0 {
- var stack: seq<Node>;
- var S: seq<Node>;
- var root: Node;
-
- function Reachable(to: Node, p:seq<Node>, from: Node): bool
- requires acc(p[*].children);
- {
- |p| == 0 ? to == from :
- (p[0] != null && to in p[0].children && Reachable(p[0], p[1..], from))
- }
-
- method IterativeMark()
- requires acc(this.*) && acc(S[*].children) && acc(S[*].marked) && acc(S[*].path);
- requires root in S;
- requires forall n in S :: n != null && (forall ch in n.children :: ch != null && ch in S);
- requires forall n in S :: ! n.marked;
- ensures acc(this.*) && acc(S[*].children) && acc(S[*].marked) && acc(S[*].path);
- // graph structure is the same
- ensures S == old(S) && root == old(root);
- ensures forall n in S :: n.children == old(n.children);
- // all nodes reachable from root are marked
- ensures root.marked;
- ensures forall n in S :: n.marked ==> (forall ch in n.children :: ch.marked);
- // all marked nodes are reachable from root
- ensures forall n in S :: n.marked ==>
- (forall m in n.path :: m in S) && Reachable(n, n.path, root);
- {
- var t:Node := root;
- t.marked := true;
- stack := nil<Node>;
- t.path := stack;
-
- // no termination check
- var stop := false;
- while(!stop)
- invariant acc(this.*) && acc(S[*].children) && acc(S[*].marked) && acc(S[*].path);
- invariant root == old(root);
- invariant S == old(S);
- invariant root.marked;
- invariant t in S && t.marked && t !in stack;
- // stack well-formed
- invariant forall i in [0..|stack|] :: forall j in [i+1..|stack|] :: stack[i] != stack[j];
- invariant forall n in stack :: n in S && n.marked;
- invariant forall i in [1..|stack|] :: stack[i-1] in stack[i].children;
- invariant 0 < |stack| ==> t in stack[0].children;
- // goal
- invariant forall n in S :: n.marked && n !in stack && n != t ==>
- (forall ch in n.children :: ch in S && ch.marked);
- invariant forall n in S :: n.marked ==>
- (forall m in n.path :: m in S) && Reachable(n, n.path, root);
- // preservation
- invariant forall n in S :: n.children == old(n.children);
- // termination
- invariant stop ==> |stack| == 0 && (forall ch in t.children :: ch.marked);
- {
- call n := PickUnmarked(t.children);
- if (n != null) {
- // push
- stack := [t] ++ stack;
- n.path := [t] ++ t.path;
- t := n;
- t.marked := true;
- assert Reachable(t.path[0], t.path[1..], root); // needed for limited function
- } else {
- // pop
- if (|stack| == 0) {
- stop := true;
- } else {
- t := stack[0];
- stack := stack[1..];
- }
- }
- }
- }
-
- method PickUnmarked(p: seq<Node>) returns (x: Node)
- requires rd(p[*].marked);
- requires forall n in p :: n != null;
- ensures rd(p[*].marked);
- ensures x != null ==> x in p && ! x.marked;
- ensures x == null ==> (forall n in p :: n.marked);
- {
- var x [(exists n in p :: !n.marked) ? (x in p && !x.marked) : (x == null)]
- }
-}
-
-class DSW1 refines DSW0 {
- replaces stack by acc(S[*].parent);
-
- transforms IterativeMark()
- {
- *
- }
-
- transforms PickUnmarked(p: seq<Node>) returns (x: Node)
- {
- replaces x by {
- if (|p| == 0) {
- x := null;
- } else if (! p[0].marked) {
- x := p[0];
- } else {
- call x := PickUnmarked(p[1..]);
- }
- }
- }
-}