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Classical Recursion Theory

The Theory of Functions and Sets of Natural Numbers

1st Edition, Volume 125 - January 1, 1989

Author: P. Odifreddi

Language: English
Paperback ISBN:
9 7 8 - 0 - 4 4 4 - 8 9 4 8 3 - 0
eBook ISBN:
9 7 8 - 0 - 0 8 - 0 8 8 6 5 9 - 6

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… Read more

Classical Recursion Theory

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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 Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.