ENGLISH

Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers

By Piergiorgio Odifreddi

Book information

Publisher
North-Holland
Year
1999
ISBN
9780080886596, 9780444872951, 9780444894830, 0444872957, 0444894837
Language
english
Format
PDF
Filesize
28 MB (29591538 bytes)
Series
Studies in Logic and the Foundations of Mathematics
Edition
Reprint
Pages
689\689
Time added
2011-01-06 10:13:16

Description

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.

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