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-rw-r--r--Test/dafny0/UnboundedStack.dfy98
1 files changed, 98 insertions, 0 deletions
diff --git a/Test/dafny0/UnboundedStack.dfy b/Test/dafny0/UnboundedStack.dfy
new file mode 100644
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+++ b/Test/dafny0/UnboundedStack.dfy
@@ -0,0 +1,98 @@
+class UnboundedStack<T> {
+ ghost var representation: set<object>;
+ ghost var content: seq<T>;
+ var top: Node<T>;
+
+ function IsUnboundedStack(): bool
+ reads this, representation;
+ {
+ this in representation &&
+ (top == null ==>
+ content == []) &&
+ (top != null ==>
+ top in representation && this !in top.footprint && top.footprint <= representation &&
+ content == top.content &&
+ top.Valid())
+ }
+
+ method InitUnboundedStack()
+ modifies this;
+ ensures IsUnboundedStack();
+ ensures content == [];
+ {
+ this.top := null;
+ this.content := [];
+ this.representation := {this};
+ }
+
+ method Push(val: T)
+ requires IsUnboundedStack();
+ modifies this;
+ ensures IsUnboundedStack();
+ ensures content == [val] + old(content);
+ {
+ var tmp := new Node<T>;
+ call tmp.InitNode(val,top);
+ top := tmp;
+ representation := representation + top.footprint;
+ content := [val] + content;
+ }
+
+ method Pop() returns (result: T)
+ requires IsUnboundedStack();
+ requires content != [];
+ modifies this;
+ ensures IsUnboundedStack();
+ ensures content == old(content)[1..];
+ {
+ result := top.val;
+ top := top.next;
+ content := content[1..];
+ }
+
+ method isEmpty() returns (result: bool)
+ requires IsUnboundedStack();
+ ensures result <==> content == [];
+ {
+ result := top == null;
+ }
+}
+
+class Node<T> {
+ ghost var footprint: set<object>;
+ ghost var content: seq<T>;
+ var val: T;
+ var next: Node<T>;
+
+ function Valid(): bool
+ reads this, footprint;
+ {
+ this in footprint &&
+ (next == null ==>
+ content == [val]) &&
+ (next != null ==>
+ next in footprint && next.footprint <= footprint && this !in next.footprint &&
+ content == [val] + next.content &&
+ next.Valid())
+ }
+
+ method InitNode(val: T, next: Node<T>)
+ requires next != null ==> next.Valid() && !(this in next.footprint);
+ modifies this;
+ ensures Valid();
+ ensures next != null ==> content == [val] + next.content &&
+ footprint == {this} + next.footprint;
+ ensures next == null ==> content == [val] &&
+ footprint == {this};
+ {
+ this.val := val;
+ this.next := next;
+ if (next == null) {
+ this.footprint := {this};
+ this.content := [val];
+ } else {
+ this.footprint := {this} + next.footprint;
+ this.content := [val] + next.content;
+ }
+ }
+}