public void TestWS1S_SuccDef_GetAutomaton()
{
var solver = new CharSetSolver(BitWidth.BV7);
var x = new Variable("x", true);
var y = new Variable("y", true);
var z = new Variable("z", true);
var xLTy = new WS1SLt <BDD>(x, y);
var xLTzLTy = (new WS1SLt <BDD>(x, z)) & (new WS1SLt <BDD>(z, y));
var Ez = new WS1SExists <BDD>(z, xLTzLTy);
var notEz = new WS1SNot <BDD>(Ez);
var xSyDef = new WS1SAnd <BDD>(xLTy, notEz);
var ca = new CartesianAlgebraBDD <BDD>(solver);
var aut_xSyDef = xSyDef.GetAutomaton(ca, x, y);
var aut_xLTzLTy = xLTzLTy.GetAutomaton(ca, x, y, z);
var aut_Ez = Ez.GetAutomaton(ca, x, y);
var aut_notEz = notEz.GetAutomaton(ca, x, y);
var aut_xLTy = xLTy.GetAutomaton(ca, x, y);
//aut_xSyDef.ShowGraph("aut_xSyDEf");
//aut_xLTzLTy.ShowGraph("aut_xLTzLTy");
//aut_Ez.ShowGraph("aut_Ez");
//aut_notEz.ShowGraph("aut_notEz");
var xSyPrim = new WS1SSuccN <BDD>(x, y, 1);
var aut_xSyPrim = xSyPrim.GetAutomaton(ca, x, y);
var equiv = aut_xSyPrim.IsEquivalentWith(aut_xSyDef, ca);
Assert.IsTrue(equiv);
}
public void BooleanAlgebraZ3_test2()
{
var ctx = new Context();
var sort = ctx.IntSort;
var solver = new Z3BoolAlg(ctx, sort);
var alg = new BDDAlgebra <BoolExpr>(solver);
var x = new Variable("x", true);
var y = new Variable("y", true);
var z = new Variable("z", true);
var xLTy = new WS1SLt <BoolExpr>(x, y);
var xLTzLTy = (new WS1SLt <BoolExpr>(x, z)) & (new WS1SLt <BoolExpr>(z, y));
var Ez = new WS1SExists <BoolExpr>(z, xLTzLTy);
var notEz = new WS1SNot <BoolExpr>(Ez);
var xSyDef = new WS1SAnd <BoolExpr>(xLTy, notEz);
var aut_xSyDef = xSyDef.GetAutomaton(alg, x, y);
var aut_xLTzLTy = xLTzLTy.GetAutomaton(alg, x, y, z);
var aut_Ez = Ez.GetAutomaton(alg, x, y);
var aut_notEz = notEz.GetAutomaton(alg, x, y);
var aut_xLTy = xLTy.GetAutomaton(alg, x, y);
//aut_xSyDef.ShowGraph("aut_xSyDEf");
//aut_xLTzLTy.ShowGraph("aut_xLTzLTy");
//aut_Ez.ShowGraph("aut_Ez");
//aut_notEz.ShowGraph("aut_notEz");
var xSyPrim = new WS1SSuccN <BoolExpr>(x, y, 1);
var aut_xSyPrim = xSyPrim.GetAutomaton(alg, x, y);
var equiv = aut_xSyPrim.IsEquivalentWith(aut_xSyDef, alg);
Assert.IsTrue(equiv);
}
public void TestWS1S_NotLabel()
{
var solver = new CharSetSolver(BitWidth.BV7);
//var x1 = new Variable("x1", false);
var x = new Variable("x", false);
var pred = new WS1SPred <BDD>(solver.MkCharConstraint('c'), x);
var fo_x = new WS1SSingleton <BDD>(x);
var ca = new CartesianAlgebraBDD <BDD>(solver);
var lab = new WS1SAnd <BDD>(pred, fo_x);
WS1SFormula <BDD> not_lab = new WS1SNot <BDD>(lab);
var not_lab_actual = new WS1SAnd <BDD>(not_lab, fo_x);
var aut_not_lab = not_lab_actual.GetAutomaton(ca, x);
var aut_not_lab_prelim = not_lab.GetAutomaton(ca, x);
var c_aut_lab = lab.GetAutomaton(ca, x).Complement(ca).Minimize(ca);
//c_aut_lab.ShowGraph("c_aut_lab");
//aut_not_lab.ShowGraph("aut_not_lab");
//aut_not_lab_prelim.ShowGraph("aut_not_lab_prelim");
//TBD: equivalence
}