11. Predicate calculus proofs are generally much easier to discover with this approach, and are often shorter.12. Schr�der's influence on the early development of the predicate calculus , mainly by popularising Peano. 13. "' Fril "'is a programming language for first-order predicate calculus . 14. The absence of polyadic relation symbols severely restricts what can be expressed in the monadic predicate calculus . 15. With the complexity comes power, and the advent of the predicate calculus inaugurated revolutionary growth of the subject. 16. It requires quantification over all properties of natural numbers, but first-order predicate calculus denies such a trick. 17. In it, he established the completeness of the first-order predicate calculus ( G�del's completeness theorem ). 18. In predicate calculus a literal is an atomic formula or its negation, where an atomic formula is a function symbols. 19. The first-order predicate calculus avoids such ambiguity by using formulae that carry no existential import with respect to universal statements. 20. In first-order predicate calculus , " All S are P " can be represented as \ forall x.
