Additional Product Features
Intended AudienceScholarly & Professional
LCCN96-036603
TitleLeadingA
Dewey Edition20
Reviews'This book contains rich material for a good introductory course in model theory …' European Mathematical Society, '... up-to-date ... can serve as an introduction to applications of model theory in computer science.'L'Enseignement Mathématique, ‘I have talked with students who first learned about model theory from this text, and overall it served them well. From his impressive work of 1993, Hodges has distilled an accessible introductory account. In doing so he has provided a valuable resource for a first study of model theory.’Carol Wood, International Journal of Symbolic Logic, "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, 'This book contains rich material for a good introductory course in model theory ...' European Mathematical Society, 'I have talked with students who first learned about model theory from this text, and overall it served them well. From his impressive work of 1993, Hodges has distilled an accessible introductory account. In doing so he has provided a valuable resource for a first study of model theory.'Carol Wood, International Journal of Symbolic Logic, ‘… up-to-date … can serve as an introduction to applications of model theory in computer science.’L’Enseignement Mathématique, 'I have talked with students who first learned about model theory from this text, and overall it served them well. From his impressive work of 1993, Hodges has distilled an accessible introductory account. In doing so he has provided a valuable resource for a first study of model theory.' Carol Wood, International Journal of Symbolic Logic, 'This book contains rich material for a good introductory course in model theory ...'European Mathematical Society, '… up-to-date … can serve as an introduction to applications of model theory in computer science.' L'Enseignement Mathmatique, ‘This book contains rich material for a good introductory course in model theory …’European Mathematical Society
IllustratedYes
Dewey Decimal511.3
Table Of Content1. Naming of parts; 2. Classifying structures; 3. Structures that look alike; 4. Interpretations; 5. The first order case: compactness; 6. The countable case; 7. The existential case; 8. Saturation; 9. Structure and categoricity.
SynopsisThis 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 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, automorphism groups and omega-categoricity, O-minimality and structures of finite Morley rank., 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.
LC Classification NumberQA9.7 .H65 1997