public void LiteralStringTest()
{
Literal a = new Literal("", "A");
Literal b = new Literal("~", "B");
Assert.AreEqual(a.ToString(), "A", "ToString result incorrect");
Assert.AreEqual(b.ToString(), "~B", "ToString result incorrect");
}
public void LiteralNegationTest()
{
Literal a = new Literal("", "A");
Literal b = new Literal("~", "B");
Assert.AreEqual(a.GetNegation().ToString(), "~A", "First negation incorrect");
Assert.AreEqual(b.GetNegation().ToString(), "B", "Second negation incorrect");
}
public void ClauseStringTest()
{
Clause clause = new Clause();
Literal a = new Literal("","A");
Literal b = new Literal("~", "B");
clause.AddLiteral(a);
clause.AddLiteral(b);
Assert.AreEqual(clause.ToString(), "( A v ~B )", "Clause.ToString result incorrect");
}
public void ClauseNegationTest()
{
Clause clause = new Clause();
Literal a = new Literal("","A");
Literal b = new Literal("~", "B");
clause.AddLiteral(a);
clause.AddLiteral(b);
Sentence s = clause.GetNegation();
Assert.AreEqual(s.ToString(), "( ~A ) ^ ( B )", "Negated clause incorrect");
}
public void ClauseListTest()
{
Clause clause = new Clause();
Literal a = new Literal("", "A");
Literal b = new Literal("~", "B");
clause.AddLiteral(a);
clause.AddLiteral(b);
Assert.AreEqual(clause.Literals[0], a, "First element incorrect");
Assert.AreEqual(clause.Literals[1], b, "Second element incorrect");
}
public void LiteralConstructorTest()
{
Literal literal = new Literal("", "A");
Assert.AreEqual(literal.Negation, "", "Negation is incorrect");
Assert.AreEqual(literal.Variable, "A", "Variable is incorrect");
Literal unliteral = new Literal("~", "B");
Assert.AreEqual(unliteral.Negation, "~", "Negation incorrect");
Assert.AreEqual(unliteral.Variable, "B", "Variable incorrect");
}
public void AddLiteral(Literal literal)
{
Literals.Add(literal);
}
public void RemoveLiteral(Literal literal)
{
Literals.Remove(literal);
}
public static void resolutionTest2()
{
Console.WriteLine("******************** start resolutionTest2 ********************");
Sentence premises = new Sentence();
Clause tempClause = new Clause();
Literal tempLiteral = new Literal("", "A");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "B");
tempClause.AddLiteral(tempLiteral);
premises.AddClause(tempClause);
tempClause = new Clause();
tempLiteral = new Literal("", "B");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "D");
tempClause.AddLiteral(tempLiteral);
premises.AddClause(tempClause);
tempClause = new Clause();
tempLiteral = new Literal("", "E");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "F");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "A");
tempClause.AddLiteral(tempLiteral);
premises.AddClause(tempClause);
//Console.WriteLine("premises\n"+premises);
///////////////
////////////
/////////////////
Sentence conclusion = new Sentence();
tempClause = new Clause();
tempLiteral = new Literal("", "C");
tempClause.AddLiteral(tempLiteral);
conclusion.AddClause(tempClause);
tempClause = new Clause();
tempLiteral = new Literal("~", "X");
tempClause.AddLiteral(tempLiteral);
conclusion.AddClause(tempClause);
Console.WriteLine("**** premises " + premises);
Console.WriteLine("***** conclusion " + conclusion);
bool canResolve = TheoremProver.PlResolution(premises, conclusion);
Console.WriteLine("canResolve " + canResolve);
Console.WriteLine("******************** end resolutionTest2 ********************");
}
public static void basicTests()
{
Console.WriteLine("******************** start basicTests ********************");
Sentence theSentence = new Sentence();
Clause tempClause = new Clause();
Literal tempLiteral = new Literal("", "A");
Console.WriteLine("tempLiteral (should be 'A')\n" + tempLiteral);
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "B");
Console.WriteLine("tempLiteral (should be '~B')\n" + tempLiteral);
tempClause.AddLiteral(tempLiteral);
Console.WriteLine("tempClause (should be '( A v ~B )')\n" + tempClause);
theSentence.AddClause(tempClause);
Console.WriteLine("theSentence (should be '( A v ~B )')\n" + theSentence);
tempClause = new Clause();
tempLiteral = new Literal("", "B");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "D");
tempClause.AddLiteral(tempLiteral);
theSentence.AddClause(tempClause);
Console.WriteLine("theSentence (should be '( A v ~B ) ^ ( B v ~D )'\n" + theSentence);
tempClause = new Clause();
tempLiteral = new Literal("", "E");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "F");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "A");
tempClause.AddLiteral(tempLiteral);
theSentence.AddClause(tempClause);
Console.WriteLine("theSentence (should be '( A v ~B ) ^ ( B v ~D ) ^ ( E v ~F v ~A )'\n" + theSentence);
tempLiteral = new Literal("", "A");
Console.WriteLine("tempLiteral (should be 'A')\n" + tempLiteral);
tempLiteral = tempLiteral.GetNegation();
Console.WriteLine("negation of tempLiteral (should be '~A')\n" + tempLiteral);
tempLiteral = tempLiteral.GetNegation();
Console.WriteLine("negation of negation of tempLiteral (should be 'A')\n" + tempLiteral);
tempClause = new Clause();
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("", "B");
tempClause.AddLiteral(tempLiteral);
Console.WriteLine("tempClause (should be '( A v B )'\n" + tempClause);
Sentence negatedTempClause = tempClause.GetNegation();
Console.WriteLine("negatedTempClause (should be '( ~A ) ^ ( ~B )'\n" + negatedTempClause);
Sentence negatedSentence = negatedTempClause.GetNegation();
Console.WriteLine("negatedSentence (should be '( A v B )'\n" + tempClause);
Console.WriteLine("=======");
Console.WriteLine("=======");
Sentence testerSentence = new Sentence();
tempClause = new Clause();
tempLiteral = new Literal("~", "A");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("", "B");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("~", "C");
tempClause.AddLiteral(tempLiteral);
Console.WriteLine("tempClause (should be '( ~A v B v ~C )'\n" + tempClause);
testerSentence.AddClause(tempClause);
Console.WriteLine("testerSentence (should be '( ~A v B v ~C )'\n" + testerSentence);
tempClause = new Clause();
tempLiteral = new Literal("", "C");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("", "D");
tempClause.AddLiteral(tempLiteral);
tempLiteral = new Literal("", "E");
tempClause.AddLiteral(tempLiteral);
Console.WriteLine("tempClause (should be '( C v D v E )'\n" + tempClause);
testerSentence.AddClause(tempClause);
Console.WriteLine("testerSentence (should be '( ~A v B v ~C ) ^ ( C v D v E )'\n" + testerSentence);
//WE START WITH ( ~A v B v ~C ) ^ ( C v D v E )
//NEGATE IT ~ ( ( ~A v B v ~C ) ^ ( C v D v E ) )
//DeMorgan's gives us ~ ( ~A v B v ~C ) v ~ ( C v D v E )
//DeMorgan's again ( A ^ ~B ^ C ) v (~C ^ ~D ^ ~E )
//now do distribution to arrive at CNF
/// ( A v ~C) ^ ( A v ~D ) ^ ( A v ~E ) ^ ( ~B v ~C ) ^ ( ~B v ~D ) ^ ( ~B v ~E ) ^ ( C v ~C ) ^ ( C v ~D ) ^ ( C v ~E )
Sentence negatedTesterSentence = testerSentence.GetNegation();
Console.WriteLine("negatedTesterSentence (should be '( A v ~C ) ^ ( A v ~D ) ^ ( A v ~E ) ^ ( ~B v ~C ) ^ ( ~B v ~D ) ^ ( ~B v ~E ) ^ ( C v ~C ) ^ ( C v ~D ) ^ ( C v ~E ) \n" +
" '\n" + negatedTesterSentence);
Console.WriteLine("******************** end basicTests ********************");
}
