Classical Recursion Theory: Theory of Functions and Sets of Natural Numbers (Studies in Logic and the Foundations of Mathematics)

by Piergiorgio Odifreddi

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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.
  • ISBN10 0444872957
  • ISBN13 9780444872951
  • Publish Date January 1989
  • Publish Status Out of Print
  • Out of Print 17 October 2009
  • Publish Country GB
  • Publisher Taylor & Francis Ltd
  • Imprint Elsevier Science Ltd
  • Format Paperback
  • Pages 686
  • Language English