Model theory
著者
書誌事項
Model theory
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 42）
Cambridge University Press, 1993
大学図書館所蔵 全113件
注記
Includes bibliographical references (p.716-754) and index
内容説明・目次
内容説明
This is an up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians. Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide variety of other areas such as set theory, geometry, algebra (in particular group theory), and computer science (e.g. logic programming and specification). Professor Hodges emphasises definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.
目次
- Part I. Language and Structure: 1. Naming of parts
- 2. Classifying structures
- 3. Structures that look alike
- 4. Automorphisms
- 5. Interpretations
- Part II. Piecing Together a Structure: 6. The first order case
- 7. The countable case
- 8. The existential case
- 9. The Horn case
- Part III. Consequences of Compactness: 10. Saturation
- 11. Combinatorial
- 12. Expansions and categoricity
- Examples
- Bibliography
- Index.
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