In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. 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, ...
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In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. 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 definability. 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.
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Add this copy of Introduction to Mathematical Logic and Type Theory. to to cart. $25.50, good condition, Sold by True Oak Books rated 5.0 out of 5 stars, ships from Highland, NY, UNITED STATES, published 1986 by Academic Pr.
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Good. Computer Science & Applied Mathematics; Foxing to exterior edge of pages. -Good overall condition. General wear. No major blemishes. No writing.; -We're committed to your satisfaction. We offer free returns and respond promptly to all inquiries. Your item will be carefully wrapped in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence.
Add this copy of An Introduction to Mathematical Logic and Type Theory to cart. $34.95, very good condition, Sold by Mahler Books rated 5.0 out of 5 stars, ships from Pflugerville, TX, UNITED STATES, published 2002 by Springer.
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Very Good. 1402007639. This book is in very good condition; no remainder marks. It does have some cover shelfwear. Inside pages are clean.; Applied Logic Series, 27; 156 X 25.4 X 234 millimeters; 408 pages.
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Very Good. Very Good condition. Applied Logic Series 27. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. NOT AVAILABLE FOR SHIPMENT OUTSIDE OF THE UNITED STATES.
Add this copy of Introduction to Mathematical Logic and Type Theory. to to cart. $75.48, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1986 by Academic Pr.
Add this copy of An Introduction to Mathematical Logic and Type Theory: to cart. $85.12, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1986 by Academic Pr.
