/** * {<S ==> M>, <M ==> P>} |- {<S ==> P>, * * <P ==>S>} * * @param term1 Subject of the first new task * @param term2 Predicate of the first new task * @param sentence The first premise * @param belief The second premise */ static void dedExe(Term term1, Term term2, Sentence sentence, Judgment belief) { if (RDFStatement.invalidStatement(term1, term2)) { return; } TruthValue value1 = sentence.getTruth(); TruthValue value2 = belief.getTruth(); TruthValue truth1 = null; TruthValue truth2 = null; BudgetValue budget1, budget2; if (sentence instanceof Question) { budget1 = BudgetFunctions.backwardWeak(value2); budget2 = BudgetFunctions.backwardWeak(value2); } else { if (sentence instanceof Goal) { truth1 = TruthFunctions.desireWeak(value1, value2); truth2 = TruthFunctions.desireWeak(value1, value2); } else { truth1 = TruthFunctions.deduction(value1, value2); truth2 = TruthFunctions.exemplification(value1, value2); } budget1 = BudgetFunctions.forward(truth1); budget2 = BudgetFunctions.forward(truth2); } TemporalValue order1 = sentence.getContent().getOrder(); TemporalValue order2 = belief.getContent().getOrder(); TemporalValue order = TemporalRules.syllogistic(order1, order2); RDFStatement content1 = RDFStatement.make((RDFStatement) sentence.getContent(), term1, term2, order); RDFStatement content2 = RDFStatement.make( (RDFStatement) sentence.getContent(), term2, term1, TemporalValue.getReverse(order)); Memory.doublePremiseTask(budget1, content1, truth1); Memory.doublePremiseTask(budget2, content2, truth2); }
/** * {<S <=> M>, <M <=> P>} |- <S <=> P> * * @param term1 Subject of the new task * @param term2 Predicate of the new task * @param belief The first premise * @param sentence The second premise * @param figure Locations of the shared term in premises */ static void resemblance(Term term1, Term term2, Judgment belief, Sentence sentence, int figure) { if (RDFStatement.invalidStatement(term1, term2)) { return; } RDFStatement st1 = (RDFStatement) belief.getContent(); RDFStatement st2 = (RDFStatement) sentence.getContent(); TruthValue truth = null; BudgetValue budget; Task task = Memory.currentTask; if (sentence instanceof Question) { budget = BudgetFunctions.backward(belief.getTruth()); } else { if (sentence instanceof Goal) { truth = TruthFunctions.desireStrong(sentence.getTruth(), belief.getTruth()); } else { truth = TruthFunctions.resemblance(belief.getTruth(), sentence.getTruth()); } budget = BudgetFunctions.forward(truth); } TemporalValue order1 = st1.getOrder(); TemporalValue order2 = st2.getOrder(); TemporalValue order = TemporalRules.syllogistic(order1, order2, figure); Term statement = RDFStatement.make(st1, term1, term2, order); Memory.doublePremiseTask(budget, statement, truth); }
/** * {<S ==> P>, <M <=> P>} |- <S ==> P> * * @param term1 Subject of the new task * @param term2 Predicate of the new task * @param asym The asymmetric premise * @param sym The symmetric premise * @param figure Locations of the shared term in premises */ static void analogy(Term term1, Term term2, Sentence asym, Sentence sym, int figure) { if (RDFStatement.invalidStatement(term1, term2)) { return; } RDFStatement asymSt = (RDFStatement) asym.getContent(); RDFStatement symSt = (RDFStatement) sym.getContent(); TruthValue truth = null; BudgetValue budget; Sentence sentence = Memory.currentTask.getSentence(); CompoundTerm taskTerm = (CompoundTerm) sentence.getContent(); if (sentence instanceof Question) { if (taskTerm.isCommutative()) { budget = BudgetFunctions.backwardWeak(asym.getTruth()); } else { budget = BudgetFunctions.backward(sym.getTruth()); } } else { if (sentence instanceof Goal) { if (taskTerm.isCommutative()) { truth = TruthFunctions.desireWeak(asym.getTruth(), sym.getTruth()); } else { truth = TruthFunctions.desireStrong(asym.getTruth(), sym.getTruth()); } } else { truth = TruthFunctions.analogy(asym.getTruth(), sym.getTruth()); } budget = BudgetFunctions.forward(truth); } TemporalValue order1 = asymSt.getOrder(); TemporalValue order2 = symSt.getOrder(); TemporalValue order; switch (figure) { case 11: case 12: order = TemporalRules.syllogistic(order2, order1, figure); break; case 21: case 22: order = TemporalRules.syllogistic(order1, order2, figure); break; default: return; } Term content = RDFStatement.make(asymSt, term1, term2, order); Memory.doublePremiseTask(budget, content, truth); }
/** * {<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 term1 Subject of the first new task * @param term2 Predicate of the first new task * @param taskSentence The first premise * @param belief The second premise * @param figure Locations of the shared term in premises */ static void abdIndCom( Term term1, Term term2, Sentence taskSentence, Judgment belief, int figure) { if (RDFStatement.invalidStatement(term1, term2)) { return; } RDFStatement st1 = (RDFStatement) taskSentence.getContent(); RDFStatement st2 = (RDFStatement) belief.getContent(); TruthValue truth1 = null; TruthValue truth2 = null; TruthValue truth3 = null; BudgetValue budget1, budget2, budget3; TruthValue value1 = taskSentence.getTruth(); TruthValue value2 = belief.getTruth(); if (taskSentence instanceof Question) { budget1 = BudgetFunctions.backward(value2); budget2 = BudgetFunctions.backwardWeak(value2); budget3 = BudgetFunctions.backward(value2); } else { if (taskSentence instanceof Goal) { truth1 = TruthFunctions.desireStrong(value1, value2); truth2 = TruthFunctions.desireWeak(value2, value1); truth3 = TruthFunctions.desireStrong(value1, value2); } else { truth1 = TruthFunctions.abduction(value1, value2); truth2 = TruthFunctions.abduction(value2, value1); truth3 = TruthFunctions.comparison(value1, value2); } budget1 = BudgetFunctions.forward(truth1); budget2 = BudgetFunctions.forward(truth2); budget3 = BudgetFunctions.forward(truth3); } TemporalValue order1 = st1.getOrder(); TemporalValue order2 = st2.getOrder(); TemporalValue order = TemporalRules.syllogistic(order1, order2, figure); // if (tense == null) { // tense = TemporalValue.WHEN; // truth1 = TruthFunctions.temporalInduction(truth1); // truth2 = TruthFunctions.temporalInduction(truth2); // truth3 = TruthFunctions.temporalInduction(truth3); // } RDFStatement statement1, statement2, statement3; statement1 = RDFStatement.make(st1, term1, term2, order); statement2 = RDFStatement.make(st1, term2, term1, TemporalValue.getReverse(order)); statement3 = RDFStatement.makeSym(st1, term1, term2, order); Memory.doublePremiseTask(budget1, statement1, truth1); Memory.doublePremiseTask(budget2, statement2, truth2); Memory.doublePremiseTask(budget3, statement3, truth3); if (statement1.isConstant()) { Memory.doublePremiseTask(budget1, introVarInd(belief, taskSentence, figure, true), truth1); Memory.doublePremiseTask(budget2, introVarInd(taskSentence, belief, figure, true), truth2); Memory.doublePremiseTask(budget3, introVarInd(taskSentence, belief, figure, false), truth3); } }
/** * {<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); }
/** * {<(&&, 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); }
/** * {<<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); }