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-rw-r--r--Source/Jennisys/examples/oopsla12/IntSet_synth.dfy130
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diff --git a/Source/Jennisys/examples/oopsla12/IntSet_synth.dfy b/Source/Jennisys/examples/oopsla12/IntSet_synth.dfy
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+++ b/Source/Jennisys/examples/oopsla12/IntSet_synth.dfy
@@ -0,0 +1,130 @@
+class IntSet {
+ ghost var Repr: set<object>;
+ ghost var elems: set<int>;
+
+ var data: int;
+ var left: IntSet;
+ var right: IntSet;
+
+ function Valid_repr(): bool
+ reads *;
+ {
+ this in Repr &&
+ null !in Repr &&
+ (left != null ==> left in Repr && left.Repr <= Repr && this !in left.Repr) &&
+ (right != null ==> right in Repr && right.Repr <= Repr && this !in right.Repr)
+ }
+
+ function Valid_self(): bool
+ reads *;
+ {
+ Valid_repr() &&
+ (elems == ({data} + (if left != null then left.elems else {})) + (if right != null then right.elems else {})) &&
+ (left != null ==> (forall e :: e in left.elems ==> e < data)) &&
+ (right != null ==> (forall e :: e in right.elems ==> data < e))
+ }
+
+ function Valid(): bool
+ reads *;
+ decreases Repr;
+ {
+ this.Valid_self() &&
+ (left != null ==> left.Valid()) &&
+ (right != null ==> right.Valid()) &&
+ (left != null ==> left.Valid_self()) &&
+ (right != null ==> right.Valid_self()) &&
+ (left != null && left.left != null ==> left.left.Valid_self()) &&
+ (left != null && left.right != null ==> left.right.Valid_self()) &&
+ (right != null && right.left != null ==> right.left.Valid_self()) &&
+ (right != null && right.right != null ==> right.right.Valid_self())
+ }
+
+
+ method Dupleton(x: int, y: int)
+ modifies this;
+ requires x != y;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures elems == {x, y};
+ {
+ if (x < y) {
+ var gensym73 := new IntSet;
+ this.data := x;
+ this.elems := {x, y};
+ this.left := null;
+ this.right := gensym73;
+ gensym73.data := y;
+ gensym73.elems := {y};
+ gensym73.left := null;
+ gensym73.right := null;
+
+ // repr stuff
+ gensym73.Repr := {gensym73};
+ this.Repr := {this} + {gensym73};
+ // assert repr objects are valid (helps verification)
+ assert gensym73.Valid();
+ } else {
+ var gensym73 := new IntSet;
+ this.data := y;
+ this.elems := {y, x};
+ this.left := null;
+ this.right := gensym73;
+ gensym73.data := x;
+ gensym73.elems := {x};
+ gensym73.left := null;
+ gensym73.right := null;
+
+ // repr stuff
+ gensym73.Repr := {gensym73};
+ this.Repr := {this} + {gensym73};
+ // assert repr objects are valid (helps verification)
+ assert gensym73.Valid();
+ }
+ }
+
+
+ method Find(x: int) returns (ret: bool)
+ requires Valid();
+ ensures fresh(Repr - old(Repr));
+ ensures Valid();
+ ensures ret == (x in elems);
+ decreases Repr;
+ {
+ if (this.left != null && this.right != null) {
+ var x_13 := this.left.Find(x);
+ var x_14 := this.right.Find(x);
+ ret := (x == this.data || x_13) || x_14;
+ } else {
+ if (this.left != null) {
+ var x_15 := this.left.Find(x);
+ ret := x == this.data || x_15;
+ } else {
+ if (this.right != null) {
+ var x_16 := this.right.Find(x);
+ ret := x == this.data || x_16;
+ } else {
+ ret := x == this.data;
+ }
+ }
+ }
+ }
+
+
+ method Singleton(x: int)
+ modifies this;
+ ensures fresh(Repr - {this});
+ ensures Valid();
+ ensures elems == {x};
+ {
+ this.data := x;
+ this.elems := {x};
+ this.left := null;
+ this.right := null;
+
+ // repr stuff
+ this.Repr := {this};
+ }
+
+}
+
+