public IInferenceResult Ask(FOLKnowledgeBase kb, ISentence aQuery)
{
//
// Get the background knowledge - are assuming this is satisfiable
// as using Set of Support strategy.
ISet <Clause> bgClauses = new HashedSet <Clause>(kb.GetAllClauses());
bgClauses.ExceptWith(SubsumptionElimination.FindSubsumedClauses(bgClauses));
IList <Chain> background = CreateChainsFromClauses(bgClauses);
// Collect the information necessary for constructing
// an answer (supports use of answer literals).
var ansHandler = new AnswerHandler(kb, aQuery, this.MaxQueryTime);
var ifps = new IndexedFarParents(ansHandler
.GetSetOfSupport(), background);
// Iterative deepening to be used
for (int maxDepth = 1; maxDepth < int.MaxValue; maxDepth++)
{
// Track the depth actually reached
ansHandler.ResetMaxDepthReached();
if (null != tracer)
{
tracer.Reset();
}
foreach (Chain nearParent in ansHandler.GetSetOfSupport())
{
this.RecursiveDls(maxDepth, 0, nearParent, ifps, ansHandler);
if (ansHandler.IsComplete())
{
return(ansHandler);
}
}
// This means the search tree
// has bottomed out (i.e. finite).
// Return what I know based on exploring everything.
if (ansHandler.GetMaxDepthReached() < maxDepth)
{
return(ansHandler);
}
}
return(ansHandler);
}
public IInferenceResult Ask(FOLKnowledgeBase KB, ISentence alpha)
{
ISet<Clause> sos = new HashedSet<Clause>();
ISet<Clause> usable = new HashedSet<Clause>();
// Usable set will be the set of clauses in the KB,
// are assuming this is satisfiable as using the
// ISet of Support strategy.
//foreach (var standardizedC in KB.GetAllClauses().Select(c => KB.StandardizeApart(c)))
foreach (var standardizedC in KB.GetAllClauses())
{
standardizedC.SetStandardizedApartCheckNotRequired();
usable.UnionWith(standardizedC.GetFactors());
}
// Ensure reflexivity axiom is added to usable if using paramodulation.
if (this.UseParamodulation)
{
// Reflexivity Axiom: x = x
var reflexivityAxiom = new TermEquality(new Variable("x"), new Variable("x"));
var reflexivityClause = new Clause();
reflexivityClause.AddLiteral(new Literal(reflexivityAxiom));
reflexivityClause = KB.StandardizeApart(reflexivityClause);
reflexivityClause.SetStandardizedApartCheckNotRequired();
usable.Add(reflexivityClause);
}
ISentence notAlpha = new NotSentence(alpha);
// Want to use an answer literal to pull
// query variables where necessary
var answerLiteral = KB.CreateAnswerLiteral(notAlpha);
var answerLiteralVariables = KB
.CollectAllVariables(answerLiteral.AtomicSentence);
var answerClause = new Clause();
if (answerLiteralVariables.Count > 0) {
ISentence notAlphaWithAnswer = new ConnectedSentence(Connectors.Or,
notAlpha, answerLiteral.AtomicSentence);
// foreach (var standardizedC in
// KB.ConvertToClauses(notAlphaWithAnswer).Select(KB.StandardizeApart))
foreach (var standardizedC in
KB.ConvertToClauses(notAlphaWithAnswer))
{
Clause c = KB.StandardizeApart(standardizedC);
c.SetProofStep(new ProofStepGoal(c));
c.SetStandardizedApartCheckNotRequired();
sos.UnionWith(c.GetFactors());
}
answerClause.AddLiteral(answerLiteral);
}
else
{
//foreach (var standardizedC in
// KB.ConvertToClauses(notAlpha).Select(KB.StandardizeApart))
foreach (var standardizedC in
KB.ConvertToClauses(notAlpha))
{
Clause c = KB.StandardizeApart(standardizedC);
c.SetProofStep(new ProofStepGoal(c));
c.SetStandardizedApartCheckNotRequired();
sos.UnionWith(standardizedC.GetFactors());
}
}
// Ensure all subsumed clauses are removed
usable.ExceptWith(SubsumptionElimination.FindSubsumedClauses(usable));
sos.ExceptWith(SubsumptionElimination.FindSubsumedClauses(sos));
var ansHandler = new OTTERAnswerHandler(answerLiteral,
answerLiteralVariables, answerClause, this.MaxQueryTime);
var idxdClauses = new IndexedClauses(LightestClauseHeuristic, sos, usable);
return this.Otter(ansHandler, idxdClauses, sos, usable);
}
public IInferenceResult Ask(FOLKnowledgeBase kb, ISentence alpha)
{
// clauses <- the set of clauses in CNF representation of KB ^ ~alpha
ISet <Clause> clauses = new HashedSet <Clause>();
foreach (Clause c in kb.GetAllClauses())
{
var standardizedC = kb.StandardizeApart(c);
standardizedC.SetStandardizedApartCheckNotRequired();
clauses.UnionWith(standardizedC.GetFactors());
}
ISentence notAlpha = new NotSentence(alpha);
// Want to use an answer literal to pull
// query variables where necessary
Literal answerLiteral = kb.CreateAnswerLiteral(notAlpha);
ISet <Variable> answerLiteralVariables = kb
.CollectAllVariables(answerLiteral.AtomicSentence);
Clause answerClause = new Clause();
if (answerLiteralVariables.Count > 0)
{
ISentence notAlphaWithAnswer = new ConnectedSentence(Connectors.Or,
notAlpha, answerLiteral.AtomicSentence);
foreach (Clause c in kb.ConvertToClauses(notAlphaWithAnswer))
{
var standardizedC = kb.StandardizeApart(c);
standardizedC.SetProofStep(new ProofStepGoal(standardizedC));
standardizedC.SetStandardizedApartCheckNotRequired();
clauses.UnionWith(standardizedC.GetFactors());
}
answerClause.AddLiteral(answerLiteral);
}
else
{
foreach (Clause c in kb.ConvertToClauses(notAlpha))
{
var standardizedC = kb.StandardizeApart(c);
standardizedC.SetProofStep(new ProofStepGoal(standardizedC));
standardizedC.SetStandardizedApartCheckNotRequired();
clauses.UnionWith(standardizedC.GetFactors());
}
}
var ansHandler = new TFMAnswerHandler(answerLiteral,
answerLiteralVariables, answerClause, this.MaxQueryTime);
// new <- {}
ISet <Clause> newClauses = new HashedSet <Clause>();
ISet <Clause> toAdd = new HashedSet <Clause>();
// loop do
int noOfPrevClauses = clauses.Count;
do
{
if (Tracer != null)
{
Tracer.StepStartWhile(clauses, clauses.Count, newClauses
.Count);
}
newClauses.Clear();
// for each Ci, Cj in clauses do
Clause[] clausesA = new Clause[clauses.Count];
clausesA = clauses.ToArray();
// Basically, using the simple T)wo F)inger M)ethod here.
for (int i = 0; i < clausesA.Length; i++)
{
Clause cI = clausesA[i];
if (null != Tracer)
{
Tracer.StepOuterFor(cI);
}
for (int j = i; j < clausesA.Length; j++)
{
Clause cJ = clausesA[j];
if (null != Tracer)
{
Tracer.StepInnerFor(cI, cJ);
}
// resolvent <- FOL-RESOLVE(Ci, Cj)
ISet <Clause> resolvents = cI.BinaryResolvents(cJ);
if (resolvents.Count > 0)
{
toAdd.Clear();
// new <- new <UNION> resolvent
foreach (Clause rc in resolvents)
{
toAdd.UnionWith(rc.GetFactors());
}
if (null != Tracer)
{
Tracer.StepResolved(cI, cJ, toAdd);
}
ansHandler.CheckForPossibleAnswers(toAdd);
if (ansHandler.IsComplete())
{
break;
}
newClauses.UnionWith(toAdd);
}
if (ansHandler.IsComplete())
{
break;
}
}
if (ansHandler.IsComplete())
{
break;
}
}
noOfPrevClauses = clauses.Count;
// clauses <- clauses <UNION> new
clauses.UnionWith(newClauses);
if (ansHandler.IsComplete())
{
break;
}
// if new is a <SUBSET> of clauses then finished
// searching for an answer
// (i.e. when they were added the # clauses
// did not increase).
} while (noOfPrevClauses < clauses.Count);
if (null != Tracer)
{
Tracer.StepFinished(clauses, ansHandler);
}
return(ansHandler);
}