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<図書>
Basic model theory

責任表示 Kees Doets
シリーズ Studies in logic, language and information
データ種別 図書
出版情報 Stanford, Calif. : CSLI Publications
[Dordrecht?] : FoLLI , c1996
本文言語 英語
大きさ viii, 130 p. : ill. ; 24 cm
概要 Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other....Example structures are: the natural numbers with the usual arithmetical operations, the structures familiar from algebra, ordered sets, etc. The emphasis is on first-order languages, the model theory of which is best known. An example result is Löwenheim's theorem (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. Second-order languages and several of their fragments are dealt with as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.
Model theory investigates the relationships between mathematical structures ('models') on the one hand and formal languages (in which statements about these structures can be formulated) on the other. Example structures are: the natural numbers with the usual arithmetical operations, the structures familiar from algebra, ordered sets, etc. The emphasis is on first-order languages, the model theory of which is best known. An example result is Löwenheim's theorem (the oldest in the field): a first-order sentence true of some uncountable structure must hold in some countable structure as well. Second-order languages and several of their fragments are dealt with as well. As the title indicates, this book introduces the reader to what is basic in model theory. A special feature is its use of the Ehrenfeucht game by which the reader is familiarised with the world of models.
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所蔵情報


: pbk 理系図1F 開架 410.96/D 81 1996
031212017500392

書誌詳細

一般注記 Includes bibliographical references (p. 119-121) and indexes
著者標目 *Doets, Kees
件 名 LCSH:Model theory
分 類 LCC:QA9.7
DC20:511.3
書誌ID 1001651718
ISBN 157586049X
NCID BA28738592
巻冊次 : hardcover ; ISBN:157586049X
: pbk ; ISBN:1575860481
登録日 2018.02.22
更新日 2018.02.22

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