Recursion theory for metamathematics
Author(s)
Bibliographic Information
Recursion theory for metamathematics
（Oxford logic guides, 22）
Oxford University Press, 1993
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This work is a sequel to the author's Goedel's Incompleteness Theorems, though it can be read independently by anyone familiar with Goedel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Table of Contents
- 1. Recursive Enumerability and Recursivity
- 2. Undecidability and Recursive Inseparability
- 3. Indexing
- 4. Generative Sets and Creative Systems
- 5. Double Generativity and Complete Effective Inseparability
- 6. Universal and Doubly Universal Systems
- 7. Shepherdson Revisited
- 8. Recursion Theorems
- 9. Symmetric and Double Recursion Theorems
- 10. Productivity and Double Productivity
- 11. Three Special Topics
- 12. Uniform Godelization
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