Topological Model Theory, J?rg Flum; Martin Ziegler

Автор: Hodges
Название: Model Theory
ISBN: 0521066360 ISBN-13(EAN): 9780521066365
Издательство: Cambridge Academ
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Описание: Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Название: Finite Model Theory
ISBN: 3540287876 ISBN-13(EAN): 9783540287872
Издательство: Springer
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Описание: The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently. This second edition is a thoroughly revised and enlarged version of the original text.