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.
General
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