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Book by Andrews Peter B
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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.
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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- ÉditeurAcademic Press Inc
- Date d'édition1986
- ISBN 10 0120585367
- ISBN 13 9780120585366
- ReliureBroché
- Nombre de pages304
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An Introduction to Mathematical Logic and Type Theory : To Truth Through Proof
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Elsevier Science & Technology Books
(1986)
ISBN 10 : 0120585367
ISBN 13 : 9780120585366
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Description du livre Etat : Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. N° de réf. du vendeur GRP97020420
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Introduction to Mathematical Logic and Type Theory. to Truth through Proof
Edité par
Academic Pr
(1986)
ISBN 10 : 0120585367
ISBN 13 : 9780120585366
Ancien ou d'occasion
Paperback
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Description du livre Paperback. Etat : Good. Foxing to exterior edge of pages. - Good overall condition. General wear. No major blemishes. No writing. ; Computer Science & Applied Mathematics. N° de réf. du vendeur HVD-26075-A-0
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Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (Computer Science and Applied Mathematics)
Edité par
Academic Press Inc
(1986)
ISBN 10 : 0120585367
ISBN 13 : 9780120585366
Ancien ou d'occasion
Couverture souple
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Description du livre Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0120585367. N° de réf. du vendeur 9638158
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Image d'archives
Introduction to Mathematical Logic and Type Theory. To Truth Through Proof (Computer Science & Applied Mathematics)
Edité par
Academic Pr
(1986)
ISBN 10 : 0120585367
ISBN 13 : 9780120585366
Ancien ou d'occasion
Couverture souple
Quantité disponible : 1
Vendeur :
Evaluation vendeur
Description du livre Etat : Good. SHIPS FROM USA. Used books have different signs of use and do not include supplemental materials such as CDs, Dvds, Access Codes, charts or any other extra material. All used books might have various degrees of writing, highliting and wear and tear and possibly be an ex-library with the usual stickers and stamps. Dust Jackets are not guaranteed and when still present, they will have various degrees of tear and damage. All images are Stock Photos, not of the actual item. book. N° de réf. du vendeur 1-0120585367-G
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