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This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading. This book will benefit graduate students with an interest in model theory.Read more
- Suitable for graduate courses
- Experienced teacher
- Previous book by Hodges was encyclopaedic but has sold about 1200 copies
Reviews & endorsements
"I have talked with students who first learned about model theory from this text, and overall it served them well. From his impressive work in 1993, Hodges has distilled an accessible introductory account. In doing so he has provided a valuable resource for a first study of model theory." International Joy of Symbolic Logic
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- Date Published: April 1997
- format: Paperback
- isbn: 9780521587136
- length: 324 pages
- dimensions: 230 x 156 x 20 mm
- weight: 0.52kg
- availability: Available
Table of Contents
1. Naming of parts
2. Classifying structures
3. Structures that look alike
5. The first order case: compactness
6. The countable case
7. The existential case
9. Structure and categoricity.
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