
Generalized Recursion Theory
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Content
- Front Cover
- Generalized Recursion Thepry
- Copyright Page
- CONTENTS
- Preface
- Part I: RECURSION IN OBJECTS OF FINITE TYPE
- Chapter 1. Recursion in the superjump
- Chapter 2. The superjump and the first recursively Mahlo ordinal
- Chapter 3. Structural characterizations of classes of relations
- Chapter 4. The 1-section of a type n object
- Part II: SETS AND ORDINALS
- Chapter 5. Admissible sets over models of set theory
- Chapter 6. An introduction to the fine structure of the constructible hierarchy
- Chapter 7. Degree theory on admissible ordinals
- Chapter 8. More on set existence
- Part III: INDUCTIVE DEFINABILITY
- Chapter 9. Inductive definitions and their closure ordinals
- Chapter 10. Ordinal recursion and inductive definitions
- Chapter 11. Inductive defiitions
- Chapter 12. Inductive definitions and reflecting properties of admissible ordinals
- Part IV: AXIOMATIC APPROACHES AND GENERAL DISCUSSION
- Chapter 13. On axiomatizing recursion theory
- Chapter 14. Dissecting abstract recursion
- Chapter 15. Model theory for dissecting recursion theory
- Chapter 16. Axiomatic theory of enumeration
- Chapter 17. Post's problem for admissible sets
- Part V: A BIBLIOGRAPHY OF GENERALIZED RECURSION THEORY
- Chapter 18. Some papers in generalized recursion theory
- Chapter 19. An uncritical bibliography
- Index
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