<図書>
Basic model theory
責任表示 | Kees Doets |
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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. 続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: pbk | 理系図1F 開架 | 410.96/D 81 | 1996 |
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031212017500392 |
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書誌詳細
一般注記 | Includes bibliographical references (p. 119-121) and indexes |
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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 |