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Introduction to Mathematical Logic and Type Theory To Truth Through Proof

Author: 


ISBN-13: 

9781402007637


ISBN: 

1402007639


Edition:  2
Pub Date: 
Publisher:  Kluwer Academic Pub
Summary: This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and def...inability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.

Andrews, Peter B. is the author of Introduction to Mathematical Logic and Type Theory To Truth Through Proof, published 2002 under ISBN 9781402007637 and 1402007639. One hundred ninety nine Introduction to Mathematical Logic and Type Theory To Truth Through Proof textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $134.93, or buy new starting at $157.71.
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Introduction to Mathematical Logic and Type Theory To Truth Through Proof

ISBN-13: 9781402007637


ISBN: 1402007639


Edition: 2nd


Pub Date:
Publisher: Kluwer Academic Pub
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