/** * 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) } } }
/** * 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); } } } }
/** * {<(&&, 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); }
/** * {<M ==> S>, <M ==> P>} |- {<S ==> P>, * * <P ==>S>, <S <=> P>} * * @param task1 The first premise * @param task2 The second premise * @param order Temporal order of the terms in conclusion */ public static void temporalIndCom(Task task1, Task task2, TemporalValue order) { Judgment judg1 = (Judgment) task1.getSentence(); Judgment judg2 = (Judgment) task2.getSentence(); Stamp stamp = Stamp.make(judg1.getStamp(), judg2.getStamp()); if (stamp == null) { return; } Memory.currentStamp = stamp; Term term1 = judg1.getContent(); Term term2 = judg2.getContent(); if ((term1 instanceof Inheritance) && (term2 instanceof Inheritance)) { RDFStatement s1 = (RDFStatement) term1; RDFStatement s2 = (RDFStatement) term2; Variable var1 = new Variable(Symbols.VARIABLE_TAG + "0"); Variable var2 = new Variable(Symbols.VARIABLE_TAG + "0"); if (s1.getSubject().equals(s2.getSubject())) { term1 = RDFStatement.make(s1, var1, s1.getPredicate()); term2 = RDFStatement.make(s2, var2, s2.getPredicate()); } else if (s1.getPredicate().equals(s2.getPredicate())) { term1 = RDFStatement.make(s1, s1.getSubject(), var1); term2 = RDFStatement.make(s2, s2.getSubject(), var2); } } else { // to generalize Term condition; if ((term1 instanceof Implication) && (term2 instanceof Inheritance)) { condition = ((Implication) term1).getSubject(); if (condition.equals(term2)) { return; } if ((condition instanceof Conjunction) && ((Conjunction) condition).containComponent(term2)) { return; } } else if ((term1 instanceof Inheritance) && (term2 instanceof Implication)) { condition = ((Implication) term2).getSubject(); if (condition.equals(term1)) { return; } if ((condition instanceof Conjunction) && ((Conjunction) condition).containComponent(term1)) { return; } } } RDFStatement statement1 = Implication.make(term1, term2, order); RDFStatement statement2 = Implication.make(term2, term1, TemporalValue.getReverse(order)); RDFStatement statement3 = Equivalence.make(term1, term2, order); TruthValue value1 = judg1.getTruth(); TruthValue value2 = judg2.getTruth(); TruthValue truth1 = TruthFunctions.induction(value1, value2); TruthValue truth2 = TruthFunctions.induction(value2, value1); TruthValue truth3 = TruthFunctions.comparison(value1, value2); BudgetValue budget1 = BudgetFunctions.temporalIndCom(task1.getBudget(), task2.getBudget(), truth1); BudgetValue budget2 = BudgetFunctions.temporalIndCom(task1.getBudget(), task2.getBudget(), truth2); BudgetValue budget3 = BudgetFunctions.temporalIndCom(task1.getBudget(), task2.getBudget(), truth3); Memory.currentTense = new TemporalValue(0); Memory.doublePremiseTask(budget1, statement1, truth1); Memory.doublePremiseTask(budget2, statement2, truth2); Memory.doublePremiseTask(budget3, statement3, truth3); }
/** * {<<M --> S> ==> <M --> P>>, <M --> S>} |- <M --> P> {<<M --> S> ==> <M --> P>>, <M --> P>} |- * <M --> S> * * @param mainSentence The implication/equivalence premise * @param subSentence The premise on part of s1 * @param s The location of s2 in s1 */ static void detachment(Sentence mainSentence, Sentence subSentence, int s) { RDFStatement statement = (RDFStatement) mainSentence.getContent(); Term subject = statement.getSubject(); Term predicate = statement.getPredicate(); Term term = subSentence.getContent(); Term content; int side; if (term.equals(subject)) { side = 0; content = predicate; } else if (term.equals(predicate)) { side = 1; content = subject; } else { return; } if ((content instanceof RDFStatement) && ((RDFStatement) content).invalid()) { return; } Sentence taskSentence = Memory.currentTask.getSentence(); Sentence beliefSentence = Memory.currentBelief; TruthValue beliefTruth = beliefSentence.getTruth(); TruthValue truth1 = mainSentence.getTruth(); TruthValue truth2 = subSentence.getTruth(); TruthValue truth = null; BudgetValue budget; if (taskSentence instanceof Question) { if (statement instanceof Equivalence) { budget = BudgetFunctions.backward(beliefTruth); } else if (side == 0) { budget = BudgetFunctions.backwardWeak(beliefTruth); } else { budget = BudgetFunctions.backward(beliefTruth); } } else { if (taskSentence instanceof Goal) { if (statement instanceof Equivalence) { truth = TruthFunctions.desireStrong(truth1, truth2); } else if (side == 0) { truth = TruthFunctions.desireInd(truth1, truth2); } else { truth = TruthFunctions.desireDed(truth1, truth2); } } else { if (statement instanceof Equivalence) { truth = TruthFunctions.analogy(truth1, truth2); } else if (side == 0) { truth = TruthFunctions.deduction(truth1, truth2); } else { truth = TruthFunctions.abduction(truth2, truth1); } } budget = BudgetFunctions.forward(truth); } TemporalValue tense0 = subSentence.getTense(); TemporalValue order0 = statement.getOrder(); TemporalValue tense; if (order0 == null) { tense = tense0; } else if (side == 0) { tense = TemporalRules.tenseSyllogistic(tense0, subSentence.getCreationTime(), order0); } else { tense = TemporalRules.tenseSyllogistic( tense0, subSentence.getCreationTime(), TemporalValue.getReverse(order0)); } Memory.currentTense = tense; Memory.doublePremiseTask(budget, content, truth); }