Exemplo n.º 1
0
  /**
   * *****************************************************************
   *
   * @return true if a quantifiers in a quantifier list is not found in the body of the statement.
   */
  private static boolean quantifierNotInStatement(Formula f) {

    if (f.theFormula == null || f.theFormula.length() < 1 || !f.listP() || f.empty()) return false;
    if (!Arrays.asList("forall", "exists").contains(f.car())) {
      Formula f1 = new Formula();
      f1.read(f.car());
      Formula f2 = new Formula();
      f2.read(f.cdr());
      return (quantifierNotInStatement(f1) || quantifierNotInStatement(f2));
    }
    Formula form = new Formula();
    form.read(f.theFormula);
    if (form.car() != null && form.car().length() > 0) { // This test shouldn't be needed.
      String rest = form.cdr(); // Quantifier list plus rest of statement
      Formula quant = new Formula();
      quant.read(rest);
      String q = quant.car(); // Now just the quantifier list.
      String body = quant.cdr();
      quant.read(q);
      ArrayList<String> qList =
          quant.argumentsToArrayList(0); // Put all the quantified variables into a list.
      if (rest.indexOf("exists") != -1 || rest.indexOf("forall") != -1) { // nested quantifiers
        Formula restForm = new Formula();
        restForm.read(rest);
        restForm.read(restForm.cdr());
        if (quantifierNotInStatement(restForm)) return true;
      }
      for (int i = 0; i < qList.size(); i++) {
        String var = (String) qList.get(i);
        if (body.indexOf(var) == -1) return true;
      }
    }
    return false;
  }