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