/** * {<M --> S>, <M --> P>} |- <<#x --> S> ==> <#x --> P>> {<M --> S>, <M --> P>} |- <<#x --> S> <=> * <#x --> P>> * * @param sentence1 The first premise <M --> S> * @param sentence2 The second premise <M --> P> * @param figure The figure indicating the location of the shared term * @param isImplication The conclusion is Implication, not Equivalence */ private static RDFStatement introVarInd( Sentence sentence1, Sentence sentence2, int figure, boolean isImplication) { RDFStatement premise1 = (RDFStatement) sentence1.getContent(); RDFStatement premise2 = (RDFStatement) sentence2.getContent(); RDFStatement state1, state2; Variable v1 = new Variable(Symbols.VARIABLE_TAG + "0"); Variable v2 = new Variable(Symbols.VARIABLE_TAG + "0"); if (figure == 11) { state1 = RDFStatement.make(premise1, v1, premise1.getPredicate()); state2 = RDFStatement.make(premise2, v2, premise2.getPredicate()); } else { state1 = RDFStatement.make(premise1, premise1.getSubject(), v1); state2 = RDFStatement.make(premise2, premise2.getSubject(), v2); } TemporalValue tense1 = sentence1.getTense(); TemporalValue tense2 = sentence2.getTense(); TemporalValue tense = TemporalRules.tenseInduction(tense1, tense2); if (tense == null) { return null; } RDFStatement content; if (isImplication) { content = Implication.make(state1, state2, tense); } else { content = Equivalence.make(state1, state2, tense); } return content; }
/** * {<M --> S>, <C ==> <M --> P>>} |- <(&&, <#x --> S>, C) ==> <#x --> P>> {<M --> S>, (&&, C, <M * --> P>)} |- (&&, C, <<#x --> S> ==> <#x --> P>>) * * @param premise1 The first premise directly used in internal induction, <M --> S> * @param premise2 The component to be used as a premise in internal induction, <M --> P> * @param oldCompound The whole content of the first premise, Implication or Conjunction */ static void introVarIndInner( RDFStatement premise1, RDFStatement premise2, CompoundTerm oldCompound) { Task task = Memory.currentTask; Sentence taskSentence = task.getSentence(); if (!taskSentence.isJudgment()) { return; } if (premise1.getClass() != premise2.getClass()) { return; } Variable var1 = new Variable(Symbols.VARIABLE_TAG + "0"); Variable var2 = new Variable(Symbols.VARIABLE_TAG + "0"); RDFStatement state1, state2; if (premise1.getSubject().equals(premise2.getSubject())) { state1 = RDFStatement.make(premise1, var1, premise1.getPredicate()); state2 = RDFStatement.make(premise2, var2, premise2.getPredicate()); } else if (premise1.getPredicate().equals(premise2.getPredicate())) { state1 = RDFStatement.make(premise1, premise1.getSubject(), var1); state2 = RDFStatement.make(premise2, premise2.getSubject(), var2); } else { return; } Sentence belief = Memory.currentBelief; Term compound, content; TemporalValue tense; TruthValue truth; if (premise1.equals(taskSentence.getContent())) { truth = TruthFunctions.abduction(taskSentence.getTruth(), belief.getTruth()); tense = TemporalRules.tenseInduction(taskSentence.getTense(), belief.getTense()); } else { truth = TruthFunctions.abduction(belief.getTruth(), taskSentence.getTruth()); tense = TemporalRules.tenseInduction(belief.getTense(), taskSentence.getTense()); } if (tense == null) { return; } if ((oldCompound instanceof Implication) && (tense == oldCompound.getOrder())) { compound = RDFStatement.make((RDFStatement) oldCompound, oldCompound.componentAt(0), state2); content = RDFStatement.make((RDFStatement) oldCompound, state1, compound); } else if (oldCompound instanceof Conjunction) { compound = Implication.make(state1, state2, tense); content = CompoundTerm.replaceComponent(oldCompound, premise2, compound); } else { return; } BudgetValue budget = BudgetFunctions.forward(truth); 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); }