private bool checkSubsumes(Clause othC,
IMap <string, ICollection <Literal> > thisToTry,
IMap <string, ICollection <Literal> > othCToTry)
{
bool subsumes = false;
ICollection <Term> thisTerms = CollectionFactory.CreateQueue <Term>();
ICollection <Term> othCTerms = CollectionFactory.CreateQueue <Term>();
// Want to track possible number of permuations
ICollection <int> radices = CollectionFactory.CreateQueue <int>();
foreach (string literalName in thisToTry.GetKeys())
{
int sizeT = thisToTry.Get(literalName).Size();
int sizeO = othCToTry.Get(literalName).Size();
if (sizeO > 1)
{
// The following is being used to
// track the number of permutations
// that can be mapped from the
// other clauses like literals to this
// clauses like literals.
// i.e. n!/(n-r)!
// where n=sizeO and r =sizeT
for (int i = 0; i < sizeT; ++i)
{
int r = sizeO - i;
if (r > 1)
{
radices.Add(r);
}
}
}
// Track the terms for this clause
foreach (Literal tl in thisToTry.Get(literalName))
{
thisTerms.AddAll(tl.getAtomicSentence().getArgs());
}
}
MixedRadixNumber permutation = null;
long numPermutations = 1L;
if (radices.Size() > 0)
{
permutation = new MixedRadixNumber(0, radices);
numPermutations = permutation.GetMaxAllowedValue() + 1;
}
// Want to ensure none of the othCVariables are
// part of the key set of a unification as
// this indicates it is not a legal subsumption.
ISet <Variable> othCVariables = _variableCollector
.collectAllVariables(othC);
IMap <Variable, Term> theta = CollectionFactory.CreateInsertionOrderedMap <Variable, Term>();
ICollection <Literal> literalPermuations = CollectionFactory.CreateQueue <Literal>();
for (long l = 0L; l < numPermutations; l++)
{
// Track the other clause's terms for this
// permutation.
othCTerms.Clear();
int radixIdx = 0;
foreach (string literalName in thisToTry.GetKeys())
{
int sizeT = thisToTry.Get(literalName).Size();
literalPermuations.Clear();
literalPermuations.AddAll(othCToTry.Get(literalName));
int sizeO = literalPermuations.Size();
if (sizeO > 1)
{
for (int i = 0; i < sizeT; ++i)
{
int r = sizeO - i;
if (r > 1)
{
// If not a 1 to 1 mapping then you need
// to use the correct permuation
int numPos = permutation.GetCurrentNumeralValue(radixIdx);
Literal lit = literalPermuations.Get(numPos);
literalPermuations.Remove(lit);
othCTerms.AddAll(lit.getAtomicSentence().getArgs());
radixIdx++;
}
else
{
// is the last mapping, therefore
// won't be on the radix
othCTerms.AddAll(literalPermuations.Get(0).getAtomicSentence().getArgs());
}
}
}
else
{
// a 1 to 1 mapping
othCTerms.AddAll(literalPermuations.Get(0)
.getAtomicSentence().getArgs());
}
}
// Note: on unifier
// unifier.unify(P(w, x), P(y, z)))={w=y, x=z}
// unifier.unify(P(y, z), P(w, x)))={y=w, z=x}
// Therefore want this clause to be the first
// so can do the othCVariables check for an invalid
// subsumes.
theta.Clear();
if (null != _unifier.unify(thisTerms, othCTerms, theta))
{
bool containsAny = false;
foreach (Variable v in theta.GetKeys())
{
if (othCVariables.Contains(v))
{
containsAny = true;
break;
}
}
if (!containsAny)
{
subsumes = true;
break;
}
}
// If there is more than 1 mapping
// keep track of where I am in the
// possible number of mapping permutations.
if (null != permutation)
{
permutation.Increment();
}
}
return(subsumes);
}
private void calculateFactors(ISet <Clause> parentFactors)
{
nonTrivialFactors = CollectionFactory.CreateSet <Clause>();
IMap <Variable, Term> theta = CollectionFactory.CreateInsertionOrderedMap <Variable, Term>();
ICollection <Literal> lits = CollectionFactory.CreateQueue <Literal>();
for (int i = 0; i < 2; ++i)
{
lits.Clear();
if (i == 0)
{
// Look at the positive literals
lits.AddAll(positiveLiterals);
}
else
{
// Look at the negative literals
lits.AddAll(negativeLiterals);
}
for (int x = 0; x < lits.Size(); x++)
{
for (int y = x + 1; y < lits.Size(); y++)
{
Literal litX = lits.Get(x);
Literal litY = lits.Get(y);
theta.Clear();
IMap <Variable, Term> substitution = _unifier.unify(
litX.getAtomicSentence(), litY.getAtomicSentence(),
theta);
if (null != substitution)
{
ICollection <Literal> posLits = CollectionFactory.CreateQueue <Literal>();
ICollection <Literal> negLits = CollectionFactory.CreateQueue <Literal>();
if (i == 0)
{
posLits.Add(_substVisitor.subst(substitution, litX));
}
else
{
negLits.Add(_substVisitor.subst(substitution, litX));
}
foreach (Literal pl in positiveLiterals)
{
if (pl == litX || pl == litY)
{
continue;
}
posLits.Add(_substVisitor.subst(substitution, pl));
}
foreach (Literal nl in negativeLiterals)
{
if (nl == litX || nl == litY)
{
continue;
}
negLits.Add(_substVisitor.subst(substitution, nl));
}
// Ensure the non trivial factor is standardized apart
IMap <Variable, Term> renameSubst = _standardizeApart
.standardizeApart(posLits, negLits,
_saIndexical);
Clause c = new Clause(posLits, negLits);
c.setProofStep(new ProofStepClauseFactor(c, this, litX,
litY, substitution, renameSubst));
if (isImmutable())
{
c.setImmutable();
}
if (!isStandardizedApartCheckRequired())
{
c.setStandardizedApartCheckNotRequired();
}
if (null == parentFactors)
{
c.calculateFactors(nonTrivialFactors);
nonTrivialFactors.AddAll(c.getFactors());
}
else
{
if (!parentFactors.Contains(c))
{
c.calculateFactors(nonTrivialFactors);
nonTrivialFactors.AddAll(c.getFactors());
}
}
}
}
}
}
factors = CollectionFactory.CreateSet <Clause>();
// Need to add self, even though a non-trivial
// factor. See: slide 30
// http://logic.stanford.edu/classes/cs157/2008/lectures/lecture10.pdf
// for example of incompleteness when
// trivial factor not included.
factors.Add(this);
factors.AddAll(nonTrivialFactors);
}
