Recursion Theory
Recursion Theory
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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.
- Provides readers with a clear and focused introduction to recursion theory
- Ideal for teaching and for self-study
- Prepares the reader for the study of advanced monographs and current literature on the topic
Product details
March 2017Hardback
9781107168084
92 pages
235 × 156 × 11 mm
0.29kg
Temporarily unavailable - available from TBC
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.
