Classical Recursion Theory: The Theory of Functions and Sets
ISBN: , SKU: , AUTHOR: Odifreddi, P. / Odifreddi, Piergiorgio / Van Der Hoek, Bas, PUBLISHER: North-Holland, marked the first centenary of Recursion Theory, since Dedekind's 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.