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Computability and Logic

ISBN-10: 0521389232
ISBN-13: 9780521389235
Edition: 3rd 1989 (Revised)
List price: $30.00
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Description: A text for a second course in logic for graduate and advanced undergraduate students. This third edition has been corrected and contains thoroughly revised versions of the chapters on Ramsey and provability, with new exercises provided for three  More...

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Book details

List price: $30.00
Edition: 3rd
Copyright year: 1989
Publisher: Cambridge University Press
Publication date: 9/29/1989
Binding: Paperback
Pages: 320
Size: 6.25" wide x 9.00" long x 0.75" tall
Weight: 0.946
Language: English

A text for a second course in logic for graduate and advanced undergraduate students. This third edition has been corrected and contains thoroughly revised versions of the chapters on Ramsey and provability, with new exercises provided for three other chapters. There are also two new chapters dealing with undecidable sentences and on the non-existence of non-standard recursive models of Z.

George Boolos was Professor of Philosophy, Massachusetts Institute of Technology.

Computability Theory
Enumerability
Diagonalization
Turing computability
Uncomputability
Abacus computability
Recursive functions
Recursive sets and relations
Equivalent definitions of computability
Basic Metalogic
A precis of first-order logic: syntax
A precis of first-order logic: semantics
The undecidability of first-order logic
Models
The existence of models
Proofs and completeness
Arithmetization
Representability of recursive functions
Indefinability, undecidability, incompleteness
The unprovability of consistency
Further topics
Normal forms
The Craig interpolation theorem
Monadic and dyadic logic
Second-order logic
Arithmetical definability
Decidability of arithmetic without multiplication
Non-standard models
Ramsey's theorem
Modal logic and provability

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