Recursion Theory

Author:   Joseph R. Shoenfield (Duke University, North Carolina)
Publisher:   Cambridge University Press
Volume:   1
ISBN:  

9781107168084


Pages:   92
Publication Date:   02 March 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Recursion Theory


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Overview

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. This introduction is an ideal instrument for teaching and self-study that prepares the reader for the study of advanced monographs and the current literature on recursion theory.

Full Product Details

Author:   Joseph R. Shoenfield (Duke University, North Carolina)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   1
Dimensions:   Width: 15.60cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.290kg
ISBN:  

9781107168084


ISBN 10:   1107168082
Pages:   92
Publication Date:   02 March 2017
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Computability; 2. Functions and relations; 3. The basic machine; 4. Macros; 5. Closure properties; 6. Definitions of recursive functions; 7. Codes; 8. Indices; 9. Church's thesis; 10. Word problems; 11. Undecidable theories; 12. Relative recursion; 13. The arithmetical hierarchy; 14. recursively enumerable relations; 15. Degrees; 16. Evaluation of degrees; 17. Large RE sets; 18. Functions of reals; 19. The analytical hierarchy; 20. The projective hierarchy; Suggestions for further reading; Index.

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Joseph R. Shoenfield works in the Department of Mathematics at Duke University, North Carolina.

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