public static Testcase createTestcase4()
{
PDLPos lastMinusFour = posMinusN(new PDLLast(), 4);
PDLPred xLeqLastMinusFour = new PDLPosLeq(new PDLPosVar("x"), lastMinusFour);
PDLPred xLeqY = new PDLPosLeq(new PDLPosVar("x"), new PDLPosVar("y"));
PDLPred xLeqZ = new PDLPosLeq(new PDLPosVar("x"), new PDLPosVar("z"));
PDLPred yLeqXPlusFour = new PDLPosLeq(new PDLPosVar("y"), posPlusN(new PDLPosVar("x"), 4));
PDLPred zLeqXPlusFour = new PDLPosLeq(new PDLPosVar("z"), posPlusN(new PDLPosVar("x"), 4));
PDLPred yNeqZ = new PDLNot(new PDLPosEq(new PDLPosVar("y"), new PDLPosVar("z")));
PDLPred zeroAtY = new PDLAtPos('0', new PDLPosVar("y"));
PDLPred zeroAtZ = new PDLAtPos('0', new PDLPosVar("z"));
PDLPred consequence = new PDLAnd(xLeqY, new PDLAnd(xLeqZ, new PDLAnd(yLeqXPlusFour, new PDLAnd(zLeqXPlusFour, new PDLAnd(yNeqZ, new PDLAnd(zeroAtY, zeroAtZ))))));
PDLPred quantConsequence = new PDLExistsFO("y", new PDLExistsFO("z", consequence));
PDLPred language = new PDLForallFO("x", new PDLIf(xLeqLastMinusFour, quantConsequence));
return new Testcase(4,oneZeroAlphabet, language);
}
public static Testcase createTestcase4()
{
PDLPos lastMinusFour = posMinusN(new PDLLast(), 4);
PDLPred xLeqLastMinusFour = new PDLPosLeq(new PDLPosVar("x"), lastMinusFour);
PDLPred xLeqY = new PDLPosLeq(new PDLPosVar("x"), new PDLPosVar("y"));
PDLPred xLeqZ = new PDLPosLeq(new PDLPosVar("x"), new PDLPosVar("z"));
PDLPred yLeqXPlusFour = new PDLPosLeq(new PDLPosVar("y"), posPlusN(new PDLPosVar("x"), 4));
PDLPred zLeqXPlusFour = new PDLPosLeq(new PDLPosVar("z"), posPlusN(new PDLPosVar("x"), 4));
PDLPred yNeqZ = new PDLNot(new PDLPosEq(new PDLPosVar("y"), new PDLPosVar("z")));
PDLPred zeroAtY = new PDLAtPos('0', new PDLPosVar("y"));
PDLPred zeroAtZ = new PDLAtPos('0', new PDLPosVar("z"));
PDLPred consequence = new PDLAnd(xLeqY, new PDLAnd(xLeqZ, new PDLAnd(yLeqXPlusFour, new PDLAnd(zLeqXPlusFour, new PDLAnd(yNeqZ, new PDLAnd(zeroAtY, zeroAtZ))))));
PDLPred quantConsequence = new PDLExistsFO("y", new PDLExistsFO("z", consequence));
PDLPred language = new PDLForallFO("x", new PDLIf(xLeqLastMinusFour, quantConsequence));
return(new Testcase(4, oneZeroAlphabet, language));
}
