Admissible sets and structures : an approach to definability theory
著者
書誌事項
Admissible sets and structures : an approach to definability theory
（Perspectives in logic）
Association for Symbolic Logic , Cambridge Unviersity Press, c2016
- : hardback
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注記
Includes bibliographical references and index
"First edition c1975 Springer-Verlag Berlin Heidelberg"--T.p verso
内容説明・目次
内容説明
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. 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.
目次
- Introduction
- Part I. The Basic Theory: 1. Admissible set theory
- 2. Some admissible sets
- 3. Countable fragments of L
- 4. Elementary results on HYPM
- Part II. The Absolute Theory: 5. The recursion theory of 1, predicates on admissible sets
- 6. Inductive definitions
- Part III. Towards a General Theory: 7. More about L
- 8. Strict 11 predicates and Koenig principles
- Appendix. Nonstandard compactness arguments and the admissible cover
- References
- Index of notation
- Subject index.
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