Recursion Theory, its Generalisations and Applications: Its Generalizations and

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Recursion Theory, its Generalisations and Applications by F.R. Drake, S.S. Wainer

Recursion theory – now a well-established branch of pure mathematics, having grown rapidly over the last 35 years – deals with the general (abstract) theory of those operations which we conceive as being `computable' by idealized machines.

FORMAT
Paperback LANGUAGE
English CONDITION
Brand New Publisher Description

Recursion theory – now a well-established branch of pure mathematics, having grown rapidly over the last 35 years – deals with the general (abstract) theory of those operations which we conceive as being `computable' by idealized machines. The theory grew out of, and is usually still regarded, as a branch of mathematical logic. This book is a collection of advanced research/survey papers by eminent research workers in the field, based on their lectures given at the Leeds Logic Colloquium 1979. As such it provides an up-to-date view of current ideas and developments in the field of recursion theory as a whole. The individual contributions fit together naturally so as to provide an overview of all the main areas of research in the field. It will therefore be an important and invaluable source for advanced researchers and research students in mathematics and computer science (particularly in Europe, USA and USSR).

Table of Contents

1. Fundamental methods for connecting recursively enumerable degrees R. I. Soare; 2. A Survey of Non-RE Degrees ≤ 0' D. B. Posner; 3. Degrees of Generic Sets C. G. Jockusch; 4. The Degrees of Unsolvability: Some recent results M. Lerman; 5. Some Constructions in -Recursion theory R. Shore; 6. The Recursion theory of the continuous functionals D. Norman; 7. Three aspects of recursive enumerability in higher types G. E. Sacks; 8. Computing in Algebraic Systems J. V. Tucker; 9. Applications of Classical Recursion theory to computer science C. H. Smith; 10. 'Natural' programming languages and complexity measures for subrecursive programming languages: An Abstract Approach D. A. Alton; 11. Complexity Theory with Emphasis on the complexity of logical theories R. E. Ladner.

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This book is a collection of advanced research/survey papers by eminent research workers in the Recursion theory.

Promotional \"Headline\"

This book is a collection of advanced research/survey papers by eminent research workers in the Recursion theory.

Description for Bookstore

Recursion theory - now a well-established branch of pure mathematics, having grown rapidly over the last 35 years - deals with the general (abstract) theory of those operations which we conceive as being 'computable' by idealized machines.

Description for Library

Recursion theory - now a well-established branch of pure mathematics, having grown rapidly over the last 35 years - deals with the general (abstract) theory of those operations which we conceive as being 'computable' by idealized machines.

Details ISBN052123543X Pages 328 Publisher Cambridge University Press Language English ISBN-10 052123543X ISBN-13 9780521235433 Media Book Format Paperback DEWEY 511.3 Series Number 45 Year 1980 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Author S.S. Wainer Subtitle Its Generalizations and Applications : Logic Colloquium : European Summer Meeting : Papers Short Title RECURSION THEORY ITS GENERALIS Edited by S. S. Wainer DOI 10.1604/9780521235433 AU Release Date 1980-11-13 NZ Release Date 1980-11-13 UK Release Date 1980-11-13 Series London Mathematical Society Lecture Note Series Publication Date 1980-11-13 Alternative 9780511629181 Illustrations Worked examples or Exercises Audience Professional & Vocational Product Class Description Science & Mathematics: Textbooks & Study Guides Country of Origin US
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