public void MSOFirstLastSucc()
{
var solver = new CharSetSolver(BitWidth.BV64); //new solver using ASCII encoding
List <char> alph = new List <char> {
'a', 'b'
};
HashSet <char> al = new HashSet <char>(alph);
//ex x. first(x)
MSOFormula first = new MSOFirst("x");
MSOFormula last = new MSOLast("y");
MSOFormula succ = new MSOSucc("x", "y");
MSOFormula and = new MSOAnd(new MSOAnd(first, last), succ);
MSOFormula formula = new MSOExistsFO("x", new MSOExistsFO("y", and));
Assert.IsTrue(formula.CheckUseOfVars());
var dfa = formula.getDFA(al, solver);
var test = solver.Convert(@"^(a|b){2}$");
Assert.IsTrue(dfa.IsEquivalentWith(test, solver));
string file = "../../../MSOZ3Test/DotFiles/ab";
solver.SaveAsDot(dfa, "aut", file); //extension .dot is added automatically when missing
}
public void MSOLe()
{
var solver = new CharSetSolver(BitWidth.BV64); //new solver using ASCII encoding
List <char> alph = new List <char> {
'a', 'b'
};
HashSet <char> al = new HashSet <char>(alph);
//ex x. all y. x<=y and a(x)
MSOFormula formula = new MSOExistsFO("x",
new MSOAnd(
new MSOLabel("x", 'a'),
new MSOForallFO("y",
new MSOOr(
new MSOEqual("x", "y"),
new MSOLess("y", "x")))));
Assert.IsTrue(formula.CheckUseOfVars());
var dfa = formula.getDFA(al, solver);
var test = solver.Convert(@"^(a|b)*a$");
Assert.IsTrue(dfa.IsEquivalentWith(test, solver));
string file = "../../../MSOZ3Test/DotFiles/endsina";
solver.SaveAsDot(dfa, "aut", file); //extension .dot is added automatically when missing
}
public override MSOFormula ToMSO(FreshGen fg, string V)
{
int c = fg.get();
string x = "_x_" + c.ToString();
string y = "_y_" + c.ToString();
string X = "_X_" + c.ToString();
int i = str.Length - 1;
string z_i, z_im;
MSOFormula phi = null;
phi = new MSOLabel("z0", str[0]);
while (i > 0)
{
z_i = "z" + i.ToString();
z_im = "z" + (i - 1).ToString();
phi = new MSOExistsFO(z_i, new MSOAnd(new MSOSucc(z_im, z_i),
new MSOAnd(new MSOLabel(z_i, str[i]), phi)));
i--;
}
return(new MSOForallFO("z0", new MSOIff(new MSOBelong("z0", V), phi)));
}
public void MSO2a2b()
{
var solver = new CharSetSolver(BitWidth.BV64); //new solver using ASCII encoding
List <char> alph = new List <char> {
'a', 'b'
};
HashSet <char> al = new HashSet <char>(alph);
MSOFormula formula1 = new MSOExistsFO("x1",
new MSOExistsFO("x2",
new MSOAnd(
new MSOAnd(
new MSOLabel("x1", 'a'),
new MSOLabel("x2", 'a')),
new MSONot(
new MSOEqual("x1", "x2")))));
MSOFormula formula2 = new MSOExistsFO("x1",
new MSOExistsFO("x2",
new MSOAnd(
new MSOAnd(
new MSOLabel("x1", 'b'),
new MSOLabel("x2", 'b')),
new MSONot(
new MSOEqual("x1", "x2")))));
MSOFormula formula = new MSOAnd(formula1, formula2);
Assert.IsTrue(formula.CheckUseOfVars());
var WS1S = formula.ToWS1S(solver);
var dfa = WS1S.getDFA(al, solver);
var timer = new Stopwatch();
var tt = 100;
var acc = 0L;
for (int k = 0; k < tt; k++)
{
timer.Reset();
timer.Start();
dfa = WS1S.getDFA(al, solver);
timer.Stop();
acc += timer.ElapsedMilliseconds;
}
Console.WriteLine("time: " + acc / tt + " ms");
//var test = solver.Convert(@"^(a|b)$");
//Assert.IsTrue(dfa.IsEquivalentWith(test, solver));
string file = "../../../MSOZ3Test/DotFiles/a2b2";
solver.SaveAsDot(dfa, "aut", file); //extension .dot is added automatically when missing
}
public override MSOFormula ToMSO(FreshGen fg, string v)
{
switch (op)
{
case PDLStringPosOperator.FirstOcc:
{
int i = str.Length - 1;
string z_i, z_im;
MSOFormula phi = null; //new MSOForallFO("x", new MSOEqual("x", "x"));
//TODO make sure input string is non empty that is i/=0
phi = new MSOLabel("z0", str[0]);
while (i > 0)
{
z_i = "z" + i.ToString();
z_im = "z" + (i - 1).ToString();
phi = new MSOExistsFO(z_i, new MSOAnd(new MSOSucc(z_im, z_i),
new MSOAnd(new MSOLabel(z_i, str[i]), phi)));
i--;
}
return(new MSOAnd(new MSOForallFO("z0", new MSOIf(phi, new MSOLessEq(v, "z0"))),
new MSOExistsFO("z0", new MSOAnd(phi, new MSOEqual(v, "z0")))));
}
case PDLStringPosOperator.LastOcc:
{
int i = str.Length - 1;
string z_i, z_im;
MSOFormula phi = null; //new MSOForallFO("x", new MSOEqual("x", "x"));
//TODO make sure input string is non empty that is i/=0
phi = new MSOLabel("z0", str[0]);
while (i > 0)
{
z_i = "z" + i.ToString();
z_im = "z" + (i - 1).ToString();
phi = new MSOExistsFO(z_i, new MSOAnd(new MSOSucc(z_im, z_i),
new MSOAnd(new MSOLabel(z_i, str[i]), phi)));
i--;
}
return(new MSOAnd(new MSOForallFO("z0", new MSOIf(phi, new MSOLessEq("z0", v))),
new MSOExistsFO("z0", new MSOAnd(phi, new MSOEqual(v, "z0")))));
}
default: throw new PDLException("undefined operator");
}
}
public override MSOFormula Contains(FreshGen fg, string v)
{
string zi, ziPrev, z0 = "_z0";
int i = str.Length - 1;
MSOFormula phi = new MSOTrue();
while (i > 0)
{
zi = "_z" + i.ToString();
ziPrev = "_z" + (i - 1).ToString();
phi = new MSOExistsFO(zi, new MSOAnd(phi, new MSOAnd(new MSOLabel(zi, str[i]), new MSOSucc(ziPrev, zi))));
i--;
}
phi = new MSOExistsFO(z0, new MSOAnd(phi, new MSOAnd(new MSOLabel(z0, str[0]), new MSOEqual(z0, v))));
return(phi);
}
