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Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1 (Studies in Logic and the Foundations of Mathematics, Vol. 125)
Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1 (Studies in Logic and the Foundations of Mathematics, Vol. 125)
Date: 15 April 2011, 05:59
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.
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