Class HerbrandInterpretation

  • All Implemented Interfaces:
    java.lang.Iterable<FolAtom>, java.util.Collection<FolAtom>, Interpretation<FolBeliefSet,​FolFormula>

    public class HerbrandInterpretation
    extends InterpretationSet<FolAtom,​FolBeliefSet,​FolFormula>
    A Herbrand interpretation is an interpretation for a first-order signature, stating all ground atoms that are true in the interpretation.
    NOTE: We only allow Herbrand interpretations for signatures without function symbols.
    Author:
    Matthias Thimm
    • Constructor Detail

      • HerbrandInterpretation

        public HerbrandInterpretation()
        Creates a new empty Herbrand interpretation
      • HerbrandInterpretation

        public HerbrandInterpretation​(java.util.Collection<? extends FolAtom> atoms)
        Creates a new Herbrand interpretation with the given set of atoms
        Parameters:
        atoms - the set of true atoms in this Herbrand interpretation.
    • Method Detail

      • satisfies

        public boolean satisfies​(FolFormula formula)
                          throws java.lang.IllegalArgumentException
        Checks whether this Herbrand interpretation satisfies the given formula.
        Parameters:
        formula - a formula.
        Returns:
        "true" if this interpretation satisfies "f".
        Throws:
        java.lang.IllegalArgumentException - if "f" is not closed.
      • isSyntacticallyEquivalent

        public boolean isSyntacticallyEquivalent​(HerbrandInterpretation other,
                                                 java.util.Collection<? extends java.util.Collection<? extends Constant>> equivalenceClasses)
        Checks whether this interpretation is syntactically equivalent to the given interpretation and the given equivalence classes, i.e. whether this interpretation can be translated to the other one by substituting constants from the same equivalence classes
        Parameters:
        other - a Herbrand interpretation.
        equivalenceClasses - a set of sets of constants.
        Returns:
        "true" iff the two interpretations are syntactically equivalent.
      • satisfies

        public boolean satisfies​(java.util.Set<FolFormula> formulas)
                          throws java.lang.IllegalArgumentException
        Checks whether this Herbrand interpretation satisfies each of the formulas in the given set of first-order formulas.
        Parameters:
        formulas - a set of first-order formulas.
        Returns:
        "true" if this interpretation satisfies the given set of formulas.
        Throws:
        java.lang.IllegalArgumentException - if at least one formula does not correspond to the expected language.
      • satisfies

        public boolean satisfies​(FolBeliefSet beliefBase)
                          throws java.lang.IllegalArgumentException
        Description copied from interface: Interpretation
        Checks whether this interpretation satisfies the given knowledge base.
        Parameters:
        beliefBase - a knowledge base.
        Returns:
        "true" if this interpretation satisfies the given knowledge base.
        Throws:
        java.lang.IllegalArgumentException - IllegalArgumentException if the knowledgebase does not correspond to the expected language.
      • exchange

        public HerbrandInterpretation exchange​(Term<?> t1,
                                               Term<?> t2)
        Substitutes every occurrence of "t1" by "t2" and vice versa and returns the new interpretation.
        Parameters:
        t1 - a term.
        t2 - a term.
        Returns:
        a Herbrand interpretation
      • exchange

        public HerbrandInterpretation exchange​(java.util.Map<Term<?>,​Term<?>> mapping)
        For every mapping t1 -> t2, this method substitutes every occurrence of "t1" by "t2" and vice versa and returns the new interpretation
        Parameters:
        mapping - a mapping of terms.
        Returns:
        a Herbrand interpretation.