/** * Syllogistic rules whose both premises are on the same symmetric relation * * @param belief The premise that comes from a belief * @param taskSentence The premise that comes from a task * @param figure The location of the shared term * @param memory Reference to the memory */ private static void symmetricSymmetric( Sentence belief, Sentence taskSentence, int figure, Memory memory) { Statement s1 = (Statement) belief.cloneContent(); Statement s2 = (Statement) taskSentence.cloneContent(); switch (figure) { case 11: if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getSubject(), s2.getSubject(), s1, s2)) { SyllogisticRules.resemblance( s1.getPredicate(), s2.getPredicate(), belief, taskSentence, figure, memory); } break; case 12: if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getSubject(), s2.getPredicate(), s1, s2)) { SyllogisticRules.resemblance( s1.getPredicate(), s2.getSubject(), belief, taskSentence, figure, memory); } break; case 21: if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getPredicate(), s2.getSubject(), s1, s2)) { SyllogisticRules.resemblance( s1.getSubject(), s2.getPredicate(), belief, taskSentence, figure, memory); } break; case 22: if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getPredicate(), s2.getPredicate(), s1, s2)) { SyllogisticRules.resemblance( s1.getSubject(), s2.getSubject(), belief, taskSentence, figure, memory); } break; } }
/** * Inference between a compound term and a statement * * @param compound The compound term * @param index The location of the current term in the compound * @param statement The statement * @param side The location of the current term in the statement * @param beliefTerm The content of the belief * @param memory Reference to the memory */ private static void compoundAndStatement( CompoundTerm compound, short index, Statement statement, short side, Term beliefTerm, Memory memory) { Term component = compound.componentAt(index); Task task = memory.currentTask; if (component.getClass() == statement.getClass()) { if ((compound instanceof Conjunction) && (memory.currentBelief != null)) { if (Variable.unify(Symbols.VAR_DEPENDENT, component, statement, compound, statement)) { SyllogisticRules.elimiVarDep(compound, component, statement.equals(beliefTerm), memory); } else if (task.getSentence().isJudgment()) { CompositionalRules.introVarInner(statement, (Statement) component, compound, memory); } } } else { if (!task.isStructural() && task.getSentence().isJudgment()) { if (statement instanceof Inheritance) { StructuralRules.structuralCompose1(compound, index, statement, memory); // if (!(compound instanceof SetExt) && !(compound instanceof SetInt)) // { if (!(compound instanceof SetExt || compound instanceof SetInt || compound instanceof Negation)) { StructuralRules.structuralCompose2(compound, index, statement, side, memory); } // {A --> B, A @ (A&C)} |- (A&C) --> (B&C) } else if ((statement instanceof Similarity) && !(compound instanceof Conjunction)) { StructuralRules.structuralCompose2(compound, index, statement, side, memory); } // {A <-> B, A @ (A&C)} |- (A&C) <-> (B&C) } } }
/** * Syllogistic rules whose first premise is on an asymmetric relation, and the second on a * symmetric relation * * @param asym The asymmetric premise * @param sym The symmetric premise * @param figure The location of the shared term * @param memory Reference to the memory */ private static void asymmetricSymmetric(Sentence asym, Sentence sym, int figure, Memory memory) { Statement asymSt = (Statement) asym.cloneContent(); Statement symSt = (Statement) sym.cloneContent(); Term t1, t2; switch (figure) { case 11: if (Variable.unify( Symbols.VAR_INDEPENDENT, asymSt.getSubject(), symSt.getSubject(), asymSt, symSt)) { t1 = asymSt.getPredicate(); t2 = symSt.getPredicate(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, asymSt, symSt)) { LocalRules.matchAsymSym(asym, sym, figure, memory); } else { SyllogisticRules.analogy(t2, t1, asym, sym, figure, memory); } } break; case 12: if (Variable.unify( Symbols.VAR_INDEPENDENT, asymSt.getSubject(), symSt.getPredicate(), asymSt, symSt)) { t1 = asymSt.getPredicate(); t2 = symSt.getSubject(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, asymSt, symSt)) { LocalRules.matchAsymSym(asym, sym, figure, memory); } else { SyllogisticRules.analogy(t2, t1, asym, sym, figure, memory); } } break; case 21: if (Variable.unify( Symbols.VAR_INDEPENDENT, asymSt.getPredicate(), symSt.getSubject(), asymSt, symSt)) { t1 = asymSt.getSubject(); t2 = symSt.getPredicate(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, asymSt, symSt)) { LocalRules.matchAsymSym(asym, sym, figure, memory); } else { SyllogisticRules.analogy(t1, t2, asym, sym, figure, memory); } } break; case 22: if (Variable.unify( Symbols.VAR_INDEPENDENT, asymSt.getPredicate(), symSt.getPredicate(), asymSt, symSt)) { t1 = asymSt.getSubject(); t2 = symSt.getSubject(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, asymSt, symSt)) { LocalRules.matchAsymSym(asym, sym, figure, memory); } else { SyllogisticRules.analogy(t1, t2, asym, sym, figure, memory); } } break; } }
/** * Conditional deduction or induction, with variable unification * * @param conditional The premise that is an Implication with a Conjunction as condition * @param index The location of the shared term in the condition * @param statement The second premise that is a statement * @param side The location of the shared term in the statement * @param memory Reference to the memory */ private static void conditionalDedIndWithVar( Implication conditional, short index, Statement statement, short side, Memory memory) { CompoundTerm condition = (CompoundTerm) conditional.getSubject(); Term component = condition.componentAt(index); Term component2 = null; if (statement instanceof Inheritance) { component2 = statement; side = -1; } else if (statement instanceof Implication) { component2 = statement.componentAt(side); } if ((component2 != null) && Variable.unify(Symbols.VAR_INDEPENDENT, component, component2, conditional, statement)) { SyllogisticRules.conditionalDedInd(conditional, index, statement, side, memory); } }
/** * The detachment rule, with variable unification * * @param originalMainSentence The premise that is an Implication or Equivalence * @param subSentence The premise that is the subject or predicate of the first one * @param index The location of the second premise in the first * @param memory Reference to the memory */ private static void detachmentWithVar( Sentence originalMainSentence, Sentence subSentence, int index, Memory memory) { Sentence mainSentence = (Sentence) originalMainSentence.clone(); // for substitution Statement statement = (Statement) mainSentence.getContent(); Term component = statement.componentAt(index); Term content = subSentence.getContent(); if ((component instanceof Inheritance) && (memory.currentBelief != null)) { if (component.isConstant()) { SyllogisticRules.detachment(mainSentence, subSentence, index, memory); } else if (Variable.unify(Symbols.VAR_INDEPENDENT, component, content, statement, content)) { SyllogisticRules.detachment(mainSentence, subSentence, index, memory); } else if ((statement instanceof Implication) && (statement.getPredicate() instanceof Statement) && (memory.currentTask.getSentence().isJudgment())) { Statement s2 = (Statement) statement.getPredicate(); if (s2.getSubject().equals(((Statement) content).getSubject())) { CompositionalRules.introVarInner((Statement) content, s2, statement, memory); } } } }
/** * Syllogistic rules whose both premises are on the same asymmetric relation * * @param sentence The taskSentence in the task * @param belief The judgment in the belief * @param figure The location of the shared term * @param memory Reference to the memory */ private static void asymmetricAsymmetric( Sentence sentence, Sentence belief, int figure, Memory memory) { Statement s1 = (Statement) sentence.cloneContent(); Statement s2 = (Statement) belief.cloneContent(); Term t1, t2; switch (figure) { case 11: // induction if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getSubject(), s2.getSubject(), s1, s2)) { if (s1.equals(s2)) { return; } t1 = s2.getPredicate(); t2 = s1.getPredicate(); SyllogisticRules.abdIndCom(t1, t2, sentence, belief, figure, memory); CompositionalRules.composeCompound(s1, s2, 0, memory); } break; case 12: // deduction if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getSubject(), s2.getPredicate(), s1, s2)) { if (s1.equals(s2)) { return; } t1 = s2.getSubject(); t2 = s1.getPredicate(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, s1, s2)) { LocalRules.matchReverse(memory); } else { SyllogisticRules.dedExe(t1, t2, sentence, belief, memory); } } break; case 21: // exemplification if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getPredicate(), s2.getSubject(), s1, s2)) { if (s1.equals(s2)) { return; } t1 = s1.getSubject(); t2 = s2.getPredicate(); if (Variable.unify(Symbols.VAR_QUERY, t1, t2, s1, s2)) { LocalRules.matchReverse(memory); } else { SyllogisticRules.dedExe(t1, t2, sentence, belief, memory); } } break; case 22: // abduction if (Variable.unify(Symbols.VAR_INDEPENDENT, s1.getPredicate(), s2.getPredicate(), s1, s2)) { if (s1.equals(s2)) { return; } t1 = s1.getSubject(); t2 = s2.getSubject(); if (!SyllogisticRules.conditionalAbd( t1, t2, s1, s2, memory)) { // if conditional abduction, skip the following SyllogisticRules.abdIndCom(t1, t2, sentence, belief, figure, memory); CompositionalRules.composeCompound(s1, s2, 1, memory); } } break; default: } }
/** * {<(&&, S2, S3) ==> P>, <(&&, S1, S3) ==> P>} |- <S1 ==> S2> * * @param cond1 The condition of the first premise * @param cond2 The condition of the second premise * @param st1 The first premise * @param st2 The second premise * @return Whether there are derived tasks */ static boolean conditionalAbd(Term cond1, Term cond2, RDFStatement st1, RDFStatement st2) { if (!(st1 instanceof Implication) || !(st2 instanceof Implication)) { return false; } if (!(cond1 instanceof Conjunction) && !(cond2 instanceof Conjunction)) { return false; } TemporalValue order1 = st1.getOrder(); TemporalValue order2 = st2.getOrder(); if (order1 != order2) { return false; } Term term1 = null; Term term2 = null; if (cond1 instanceof Conjunction) { term1 = CompoundTerm.reduceComponents((Conjunction) cond1, cond2); } if (cond2 instanceof Conjunction) { term2 = CompoundTerm.reduceComponents((Conjunction) cond2, cond1); } if ((term1 == null) && (term2 == null)) { return false; } Task task = Memory.currentTask; Sentence sentence = task.getSentence(); Judgment belief = Memory.currentBelief; TruthValue value1 = sentence.getTruth(); TruthValue value2 = belief.getTruth(); boolean keepOrder = (Variable.findSubstitute(Variable.VarType.INDEPENDENT, st1, task.getContent()) != null); Term content; TruthValue truth = null; BudgetValue budget; if (term1 != null) { if (term2 != null) { content = RDFStatement.make(st2, term2, term1, order2); } else { content = term1; } if (sentence instanceof Question) { budget = BudgetFunctions.backwardWeak(value2); } else { if (sentence instanceof Goal) { if (keepOrder) { truth = TruthFunctions.desireDed(value1, value2); } else { truth = TruthFunctions.desireInd(value1, value2); } } else { truth = TruthFunctions.abduction(value2, value1); } budget = BudgetFunctions.forward(truth); } Memory.doublePremiseTask(budget, content, truth); } if (term2 != null) { if (term1 != null) { content = RDFStatement.make(st1, term1, term2, order1); } else { content = term2; } if (sentence instanceof Question) { budget = BudgetFunctions.backwardWeak(value2); } else { if (sentence instanceof Goal) { if (keepOrder) { truth = TruthFunctions.desireDed(value1, value2); } else { truth = TruthFunctions.desireInd(value1, value2); } } else { truth = TruthFunctions.abduction(value1, value2); } budget = BudgetFunctions.forward(truth); } Memory.currentTense = null; Memory.doublePremiseTask(budget, content, truth); } return true; }
/** * {<(&&, S1, S2, S3) ==> P>, S1} |- <(&&, S2, S3) ==> P> {<(&&, S2, S3) ==> P>, <S1 ==> S2>} |- * <(&&, S1, S3) ==> P> {<(&&, S1, S3) ==> P>, <S1 ==> S2>} |- <(&&, S2, S3) ==> P> * * @param premise1 The conditional premise * @param index The location of the shared term in the condition of premise1 * @param premise2 The premise which, or part of which, appears in the condition of premise1 * @param side The location of the shared term in premise2: 0 for subject, 1 for predicate, -1 for * the whole term */ static void conditionalDedInd(Implication premise1, short index, Term premise2, int side) { Task task = Memory.currentTask; Sentence taskSentence = task.getSentence(); Judgment belief = Memory.currentBelief; boolean deduction = (side != 0); HashMap substitute = Variable.findSubstitute(Variable.VarType.ALL, premise2, belief.getContent()); boolean conditionalTask = (substitute != null); TemporalValue tense1 = (conditionalTask ? taskSentence.getTense() : belief.getTense()); TemporalValue tense2 = (conditionalTask ? belief.getTense() : taskSentence.getTense()); TemporalValue order1 = premise1.getOrder(); TemporalValue order2 = premise2.getOrder(); if ((side == -1) && (tense2 != null) && (tense2.getDelta() > 0)) { return; } if ((side == 0) && (order2 != null) && (order2.getDelta() > 0)) { return; } if ((side == 1) && (order2 != null) && (order2.getDelta() < 0)) { return; } TemporalValue tense = TemporalRules.syllogistic(tense1, tense2); if (tense != null) { tense = new TemporalValue(0); } Term commonComponent; Term newComponent = null; if (side == 0) { commonComponent = ((RDFStatement) premise2).getSubject(); newComponent = ((RDFStatement) premise2).getPredicate(); } else if (side == 1) { commonComponent = ((RDFStatement) premise2).getPredicate(); newComponent = ((RDFStatement) premise2).getSubject(); } else { commonComponent = premise2; } Conjunction oldCondition = (Conjunction) premise1.getSubject(); boolean match = Variable.unify( Variable.VarType.INDEPENDENT, oldCondition.componentAt(index), commonComponent, premise1, premise2); if (!match && (commonComponent.getClass() == oldCondition.getClass())) { match = Variable.unify( Variable.VarType.INDEPENDENT, oldCondition.componentAt(index), ((CompoundTerm) commonComponent).componentAt(index), premise1, premise2); } if (!match) { return; } Term newCondition; if (oldCondition.equals(commonComponent)) { newCondition = null; } else { newCondition = CompoundTerm.replaceComponent(oldCondition, index, newComponent); if ((newCondition instanceof Conjunction) && ((CompoundTerm) newCondition).size() == 1) { newCondition = ((CompoundTerm) newCondition).componentAt(0); } } Term content; if (newCondition != null) { content = RDFStatement.make(premise1, newCondition, premise1.getPredicate(), order1); } else { content = premise1.getPredicate(); } if (content == null) { return; } TruthValue truth1 = taskSentence.getTruth(); TruthValue truth2 = belief.getTruth(); TruthValue truth = null; BudgetValue budget; if (taskSentence instanceof Question) { budget = BudgetFunctions.backwardWeak(truth2); } else { if (taskSentence instanceof Goal) { if (conditionalTask) { truth = TruthFunctions.desireWeak(truth1, truth2); } else if (deduction) { truth = TruthFunctions.desireInd(truth1, truth2); } else { truth = TruthFunctions.desireDed(truth1, truth2); } budget = BudgetFunctions.forward(truth); } else { if (deduction) { truth = TruthFunctions.deduction(truth1, truth2); } else if (conditionalTask) { truth = TruthFunctions.induction(truth2, truth1); } else { truth = TruthFunctions.induction(truth1, truth2); } } budget = BudgetFunctions.forward(truth); } Memory.currentTense = tense; Memory.doublePremiseTask(budget, content, truth); }