Package aima.core.logic.fol.kb

Source Code of aima.core.logic.fol.kb.FOLKnowledgeBaseFactory

package aima.core.logic.fol.kb;

import aima.core.logic.fol.domain.DomainFactory;
import aima.core.logic.fol.domain.FOLDomain;
import aima.core.logic.fol.inference.InferenceProcedure;

/**
* @author Ciaran O'Reilly
*
*/
public class FOLKnowledgeBaseFactory {

  public static FOLKnowledgeBase createKingsKnowledgeBase(
      InferenceProcedure infp) {
    FOLKnowledgeBase kb = new FOLKnowledgeBase(DomainFactory.kingsDomain(),
        infp);
    kb.tell("((King(x) AND Greedy(x)) => Evil(x))");
    kb.tell("King(John)");
    kb.tell("King(Richard)");
    kb.tell("Greedy(John)");

    return kb;
  }

  public static FOLKnowledgeBase createWeaponsKnowledgeBase(
      InferenceProcedure infp) {
    FOLKnowledgeBase kb = new FOLKnowledgeBase(
        DomainFactory.weaponsDomain(), infp);
    kb.tell("( (((American(x) AND Weapon(y)) AND Sells(x,y,z)) AND Hostile(z)) => Criminal(x))");
    kb.tell(" Owns(Nono, M1)");
    kb.tell(" Missile(M1)");
    kb.tell("((Missile(x) AND Owns(Nono,x)) => Sells(West,x,Nono))");
    kb.tell("(Missile(x) => Weapon(x))");
    kb.tell("(Enemy(x,America) => Hostile(x))");
    kb.tell("American(West)");
    kb.tell("Enemy(Nono,America)");

    return kb;
  }

  public static FOLKnowledgeBase createLovesAnimalKnowledgeBase(
      InferenceProcedure infp) {
    FOLKnowledgeBase kb = new FOLKnowledgeBase(
        DomainFactory.lovesAnimalDomain(), infp);

    kb.tell("FORALL x (FORALL y (Animal(y) => Loves(x, y)) => EXISTS y Loves(y, x))");
    kb.tell("FORALL x (EXISTS y (Animal(y) AND Kills(x, y)) => FORALL z NOT(Loves(z, x)))");
    kb.tell("FORALL x (Animal(x) => Loves(Jack, x))");
    kb.tell("(Kills(Jack, Tuna) OR Kills(Curiosity, Tuna))");
    kb.tell("Cat(Tuna)");
    kb.tell("FORALL x (Cat(x) => Animal(x))");

    return kb;
  }

  public static FOLKnowledgeBase createRingOfThievesKnowledgeBase(
      InferenceProcedure infp) {
    FOLKnowledgeBase kb = new FOLKnowledgeBase(
        DomainFactory.ringOfThievesDomain(), infp);

    // s(x) => ~c(x) One who skis never gets caught
    kb.tell("(Skis(x) => NOT(Caught(x)))");
    // c(x) => ~s(x) Those who are caught don't ever ski
    kb.tell("(Caught(x) => NOT(Skis(x)))");
    // p(x,y) & c(y) => s(x) Jailbird parents have skiing kids
    kb.tell("((Parent(x,y) AND Caught(y)) => Skis(x))");
    // s(x) & f(x,y) => s(y) All friends ski together
    kb.tell("(Skis(x) AND Friend(x,y) => Skis(y))");
    // f(x,y) => f(y,x) Friendship is symmetric
    kb.tell("(Friend(x,y) => Friend(y,x))");
    // FACTS
    // 1. { p(Mike,Joe) } Premise
    kb.tell("Parent(Mike, Joe)");
    // 2. { p(Janet,Joe) } Premise
    kb.tell("Parent(Janet,Joe)");
    // 3. { p(Nancy,Mike) } Premise
    kb.tell("Parent(Nancy,Mike)");
    // 4. { p(Ernie,Janet) } Premise
    kb.tell("Parent(Ernie,Janet)");
    // 5. { p(Bert,Nancy) } Premise
    kb.tell("Parent(Bert,Nancy)");
    // 6. { p(Red,Ernie) } Premise
    kb.tell("Parent(Red,Ernie)");
    // 7. { f(Red,Bert) } Premise
    kb.tell("Friend(Red,Bert)");
    // 8. { f(Drew,Nancy) } Premise
    kb.tell("Friend(Drew,Nancy)");
    // 9. { c(Mike) } Premise
    kb.tell("Caught(Mike)");
    // 10. { c(Ernie) } Premise
    kb.tell("Caught(Ernie)");

    return kb;
  }

  // Note: see -
  // http://logic.stanford.edu/classes/cs157/2008/lectures/lecture15.pdf
  // slide 12 for where this test example was taken from.
  public static FOLKnowledgeBase createABCEqualityKnowledgeBase(
      InferenceProcedure infp, boolean includeEqualityAxioms) {
    FOLDomain domain = new FOLDomain();
    domain.addConstant("A");
    domain.addConstant("B");
    domain.addConstant("C");

    FOLKnowledgeBase kb = new FOLKnowledgeBase(domain, infp);

    kb.tell("B = A");
    kb.tell("B = C");

    if (includeEqualityAxioms) {
      // Reflexivity Axiom
      kb.tell("x = x");
      // Symmetry Axiom
      kb.tell("(x = y => y = x)");
      // Transitivity Axiom
      kb.tell("((x = y AND y = z) => x = z)");
    }

    return kb;
  }

  // Note: see -
  // http://logic.stanford.edu/classes/cs157/2008/lectures/lecture15.pdf
  // slide 16,17, and 18 for where this test example was taken from.
  public static FOLKnowledgeBase createABCDEqualityAndSubstitutionKnowledgeBase(
      InferenceProcedure infp, boolean includeEqualityAxioms) {
    FOLDomain domain = new FOLDomain();
    domain.addConstant("A");
    domain.addConstant("B");
    domain.addConstant("C");
    domain.addConstant("D");
    domain.addPredicate("P");
    domain.addFunction("F");

    FOLKnowledgeBase kb = new FOLKnowledgeBase(domain, infp);

    kb.tell("F(A) = B");
    kb.tell("F(B) = A");
    kb.tell("C = D");
    kb.tell("P(A)");
    kb.tell("P(C)");

    if (includeEqualityAxioms) {
      // Reflexivity Axiom
      kb.tell("x = x");
      // Symmetry Axiom
      kb.tell("(x = y => y = x)");
      // Transitivity Axiom
      kb.tell("((x = y AND y = z) => x = z)");
      // Function F Substitution Axiom
      kb.tell("((x = y AND F(y) = z) => F(x) = z)");
      // Predicate P Substitution Axiom
      kb.tell("((x = y AND P(y)) => P(x))");
    }

    return kb;
  }
}
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