public void ResolveRuleMultipleTest()
{
Expression <Del1> node1 = (x) => P(x) | !Q(x) | R(x);
Expression <Del1> node2 = (x) => !P(x) | Q(x) | !R(x);
var result = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(node1), Expressions2LogicTree.Parse(node2));
Assert.AreEqual(3, result.Count());
}
public void ResolveWithUnificateTest()
{
Expression <Del1> root = (x) => P(x) | Q(f(x));
Expression <Del1> gypotesis = (z) => !P(g(z));
var result = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(root), Expressions2LogicTree.Parse(gypotesis)).ToList();
Assert.AreEqual(1, result.Count);
Assert.AreEqual("Q(f(g(z)))", result[0].ToString());
}
public void PredicateAndNegatePredicate()
{
Expression <Del1> root = (x) => P(x);
Expression <Del1> gypotesis = (x) => !P(x);
var result =
ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(root), Expressions2LogicTree.Parse(gypotesis)).ToList();
Assert.AreEqual(1, result.Count);
Assert.AreEqual("", result[0].ToString());
}
public void ErrorUnificationTest()
{
// Q(f(a),g(x))
Expression <Del1> A = (x) => Q(f(a), g(x));
// Q(y,y)
Expression <Del1> B = (y) => Q(y, y);
var node1 = (SkolemPredicateNode)Expressions2LogicTree.Parse(A).Children[0];
var node2 = (SkolemPredicateNode)Expressions2LogicTree.Parse(B).Children[0];
Assert.AreEqual(false, UnificationService.CanUnificate(node1, node2));
}
public void ResolveRuleTest()
{
// P(x) V Q(f(y))
Expression <Del2> root = (x, y) => P(x) | Q(f(y));
// !P(x)
Expression <Del1> gypotesis = (x) => !P(x);
var result = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(root), Expressions2LogicTree.Parse(gypotesis)).ToList();
Assert.AreEqual(1, result.Count);
Assert.AreEqual("Q(f(y))", result[0].ToString());
result = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(gypotesis), Expressions2LogicTree.Parse(root)).ToList();
Assert.AreEqual("Q(f(y))", result[0].ToString());
}
public void ResolutionOnResultOfResolution()
{
Expression <Del1> f1 = (x) => P(x) | Q(x);
Expression <Del1> f2 = (x) => !Q(x);
Expression <Del1> f3 = (x) => !P(x);
//P(x)
var result = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(f1), Expressions2LogicTree.Parse(f2)).Single();
//{} ?
var result2 = ComputerAlgebra.Resolve(Expressions2LogicTree.Parse(f3), result).ToList();
Assert.AreEqual(1, result2.Count);
Assert.AreEqual("", result2[0].ToString());
}
static void Main()
{
//Type two clauses in SNF without quantifiers
Expression <Func <int, int, int, int, BooleanGroup> > exp = (x, y, z, u) => !P(x, y) | Q(z, g(u)) | R(z, f(u));
Expression <Func <int, int, BooleanGroup> > gypotesis = (x, u) => !R(x, f(u)) | P(b, h(a));
var expNode = Expressions2LogicTree.Parse(exp);
var gypotesisNode = Expressions2LogicTree.Parse(gypotesis);
Console.WriteLine("First clause: {0}", expNode);
Console.WriteLine("Second clause: {0}", gypotesisNode);
var result = ComputerAlgebra.Resolve(expNode, gypotesisNode).ToList();
Console.WriteLine("Possible resolvents: [{0}]", string.Join(" ; ", result));
}
public void HardUnificationTest()
{
// P(a,x,f(g(y))
Expression <Del2> A = (x, y) => P(a, x, f(g(y)));
// P(z,f(z),f(u))
Expression <Del2> B = (z, u) => P(z, f(z), f(u));
var node1 = (SkolemPredicateNode)Expressions2LogicTree.Parse(A).Children[0];
var node2 = (SkolemPredicateNode)Expressions2LogicTree.Parse(B).Children[0];
Assert.AreEqual(true, UnificationService.CanUnificate(node1, node2));
var rules = UnificationService.GetUnificationRules(node1, node2);
Assert.AreEqual(3, rules.Count);
UnificationService.Unificate(node1, node2);
Assert.AreEqual(node1.ToString(), node2.ToString());
}
public void ParseTest()
{
Expression <Del1> e = (x) => !P(f(x)) | P(x);
INode node = Expressions2LogicTree.Parse(e);
Assert.AreEqual(new MultipleOr(new SkolemPredicateNode("P", true, new FunctionNode("f", VariableNode.Make <bool>(0, "x"))),
new SkolemPredicateNode("P", false, VariableNode.Make <bool>(0, "x"))).ToString(),
node.ToString());
Expression <Del3> e3 = (x, y, z) => P(f(x, y)) | !P(y) | P(x, y, z);
node = Expressions2LogicTree.Parse(e3);
Assert.AreEqual(new MultipleOr(new SkolemPredicateNode("P", false, new FunctionNode("f", VariableNode.Make <bool>(0, "x"), VariableNode.Make <bool>(1, "y"))),
new SkolemPredicateNode("P", true, VariableNode.Make <bool>(1, "y")),
new SkolemPredicateNode("P", false, VariableNode.Make <bool>(0, "x"), VariableNode.Make <bool>(1, "y"), VariableNode.Make <bool>(2, "z"))).ToString(),
node.ToString());
Expression <Del1> e2 = (x) => P(f(x), a);
node = Expressions2LogicTree.Parse(e2);
Assert.AreEqual(new MultipleOr(new SkolemPredicateNode("P", false,
new FunctionNode("f", VariableNode.Make <bool>(0, "x")),
new FunctionNode("a"))).ToString(),
node.ToString());
}