Computability Theory

S. Barry Cooper, S. Barry Cooper

November 17, 2003 by Chapman and Hall/CRC
Textbook - 420 Pages - 35 B/W Illustrations
ISBN 9781584882374 - CAT# C2379
Series: Chapman Hall/CRC Mathematics Series


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  • Offers a concise introduction to the results and techniques of contemporary computability theory
  • Reflects modern developments in treatment and subject matter in this fundamentally important area
  • Provides an accessible guide to the direction of current research
  • Includes discussions of Turing definability, complexity of computations, and the relevance of computability theory to science
  • Summary

    Computability theory originated with the seminal work of Gödel, Church, Turing, Kleene and Post in the 1930s. This theory includes a wide spectrum of topics, such as the theory of reducibilities and their degree structures, computably enumerable sets and their automorphisms, and subrecursive hierarchy classifications. Recent work in computability theory has focused on Turing definability and promises to have far-reaching mathematical, scientific, and philosophical consequences.

    Written by a leading researcher, Computability Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion of advanced topics not to be found elsewhere in the literature at this level.

    The book includes both the standard material for a first course in computability and more advanced looks at degree structures, forcing, priority methods, and determinacy. The final chapter explores a variety of computability applications to mathematics and science.

    Computability Theory is an invaluable text, reference, and guide to the direction of current research in the field. Nowhere else will you find the techniques and results of this beautiful and basic subject brought alive in such an approachable and lively way.


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