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Classical Recursion Theory (Studies in Logic and the Foundations of Mathematics, Vol 125)
Classical Recursion Theory - Studies in Logic and the Foundations of Mathematics, Vol 125 Author:Piergiorgio Odifreddi Paperback. 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 the... more »ir 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.« less