ENGLISH

Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers, Vol. 1

By Piergiorgio Odifreddi

Book information

Publisher
Elsevier
Year
1989
ISBN
0444872957, 9780444872951
Language
english
Format
PDF
Filesize
37 MB (38602806 bytes)
Series
Studies in Logic and the Foundations of Mathematics 125
Pages
677\677
Topic
Mathematics Logic
Time added
2013-06-05 09:51:50

Description

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.

Similar books