Classical Recursion Theory: The Theory of Functions and...

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Mathematics - Logic
Classical Recursion Theory: The Theory...

Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1

Name: Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1
ISBN: 9780444894830

Piergiorgio Odifreddi

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1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles.

Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular G?del's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.

الفئات:

Mathematics - Logic

عام:

1999

الناشر:

Elsevier

اللغة:

english

الصفحات:

690

ISBN 10:

0444894837