Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers
| By: | Odifreddi, P. |
| Publisher: | Elsevier S & T |
| eText ISBN: | 9780444894830 |
| Edition: | 0 |
| Format: | Page Fidelity |
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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 Godel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.