|
public MkTupleSort ( |
||
| name | ||
| fieldNames | ||
| fieldSorts | Microsoft.Z3.Sort | |
| return | ||
/// <summary>
/// Demonstrate how to use #Eval on tuples.
/// </summary>
public static void EvalExample2(Context ctx)
{
Console.WriteLine("EvalExample2");
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 tup1 = ctx.MkConst("t1", tuple);
Expr tup2 = ctx.MkConst("t2", tuple);
Solver solver = ctx.MkSolver();
/* assert tup1 != tup2 */
solver.Assert(ctx.MkNot(ctx.MkEq(tup1, tup2)));
/* assert first tup1 = first tup2 */
solver.Assert(ctx.MkEq(ctx.MkApp(first, tup1), ctx.MkApp(first, tup2)));
/* find model for the constraints above */
Model model = null;
if (Status.SATISFIABLE == solver.Check())
{
model = solver.Model;
Console.WriteLine("{0}", model);
Console.WriteLine("evaluating tup1 {0}", (model.Evaluate(tup1)));
Console.WriteLine("evaluating tup2 {0}", (model.Evaluate(tup2)));
Console.WriteLine("evaluating second(tup2) {0}",
(model.Evaluate(ctx.MkApp(second, tup2))));
}
else
{
Console.WriteLine("BUG, the constraints are satisfiable.");
}
}
/// <summary>
/// Tuples.
/// </summary>
/// <remarks>Check that the projection of a tuple
/// returns the corresponding element.</remarks>
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);
}