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Computability and Logic

ISBN-10: 0521701465
ISBN-13: 9780521701464
Edition: 5th 2007 (Revised)
List price: $35.99 Buy it from $31.47
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Description: Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel??'s incompleteness theorems,  More...

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Book details

List price: $35.99
Edition: 5th
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 9/17/2007
Binding: Paperback
Pages: 366
Size: 7.00" wide x 10.00" long x 0.75" tall
Weight: 1.628
Language: English

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel??'s incompleteness theorems, but also a large number of optional topics, from Turing??'s theory of computability to Ramsey??'s theorem. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.

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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