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 TestWS1S_SuccDef_GetAutomatonBDD()
{
var solver = new CharSetSolver(BitWidth.BV7);
var nrOfLabelBits = (int)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 aut_xSyDef = xSyDef.GetAutomatonBDD(solver, nrOfLabelBits, x, y);
var aut_xLTzLTy = xLTzLTy.GetAutomatonBDD(solver, nrOfLabelBits, x, y, z);
var aut_Ez = Ez.GetAutomatonBDD(solver, nrOfLabelBits, x, y).Determinize(solver).Minimize(solver);
var aut_notEz = notEz.GetAutomatonBDD(solver, nrOfLabelBits, x, y);
var aut_xLTy = xLTy.GetAutomatonBDD(solver, nrOfLabelBits, 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.GetAutomatonBDD(solver, nrOfLabelBits, x, y);
var equiv = aut_xSyPrim.IsEquivalentWith(aut_xSyDef, solver);
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);
}
