public static void TupleExample(Context ctx)
{
Console.WriteLine("TupleExample");
Sort int_type = ctx.IntSort;
TupleSort tuple = ctx.MkTupleSort(
ctx.MkSymbol("mk_tuple"), // name of tuple constructor
new Symbol[] { ctx.MkSymbol("first"), ctx.MkSymbol("second") }, // names of projection operators
new Sort[] { int_type, int_type } // types of projection operators
);
FuncDecl first = tuple.FieldDecls[0]; // declarations are for projections
FuncDecl second = tuple.FieldDecls[1];
Expr x = ctx.MkConst("x", int_type);
Expr y = ctx.MkConst("y", int_type);
Expr n1 = tuple.MkDecl[x, y];
Expr n2 = first[n1];
BoolExpr n3 = ctx.MkEq(x, n2);
Console.WriteLine("Tuple example: {0}", n3);
Prove(ctx, n3);
}
public Head(Z3Provider z3p, Expr head, TupleSort HEAD, TupleSort MOUTH, TupleSort NOSE)
{
if (!(head.Sort.Equals(HEAD)))
throw new Exception("Wrong sort");
this.z3p = z3p;
this.head = head;
this.HEAD = HEAD;
this.MOUTH = MOUTH;
this.NOSE = NOSE;
}
