/** * {<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); }
/** * {<(&&, 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>>, <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); }