Admissible Sets and Structures
Admissible Sets and Structures
£128.99
GBPSince 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. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.
- Accessible to logic students and specialists alike
- Fills an artificial gap between model theory and recursion theory
- Covers everything about admissible sets that a logician should know
Product details
March 2017Hardback
9781107168336
408 pages
240 × 162 × 32 mm
0.8kg
21 b/w illus.
Available
Table of Contents
- Introduction
- Part I. The Basic Theory:
- 1. Admissible set theory
- 2. Some admissible sets
- 3. Countable fragments of L∞ω
- 4. Elementary results on HYPM
- Part II. The Absolute Theory:
- 5. The recursion theory of Σ1, predicates on admissible sets
- 6. Inductive definitions
- Part III. Towards a General Theory:
- 7. More about L∞ω
- 8. Strict Î 11 predicates and Koenig principles
- Appendix. Nonstandard compactness arguments and the admissible cover
- References
- Index of notation
- Subject index.
