An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof - Couverture rigide

Andrews, Peter B.

 
9780120585359: An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof
Couverture rigide
ISBN 10 : 0120585359 ISBN 13 : 9780120585359
Editeur : Academic Press Inc, 1986

Synopsis

Book by Andrews Peter B

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Academic Press Inc
Date d'édition
1986
Langue
anglais
ISBN 10 
0120585359
ISBN 13 
9780120585359
Reliure
Relié
Nombre de pages
304
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781402007637: An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof

Edition présentée

ISBN 10 :  1402007639 ISBN 13 :  9781402007637
Editeur : Kluwer Academic Publishers, 2002
Couverture rigide