Mendeley出力
＜図書＞
Introduction to higher order categorical logic
| 責任表示 | J. Lambek, P.J. Scott |
|---|---|
| シリーズ | Cambridge studies in advanced mathematics ; 7 |
| データ種別 | 図書 |
| 出版情報 | Cambridge [Cambridgeshire] ; New York : Cambridge University Press , 1988, c1986 |
| 本文言語 | 英語 |
| 大きさ | x, 293 p. : ill. ; 24 cm |
| 概要 | In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a ...ormulation of higher-order logic, and cartesian closed categories, are essentially the same. Part II demonstrates that another formulation of higher-order logic, (intuitionistic) type theories, is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludeds with a set of exercises. In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part II demonstrates that another formulation of higher-order logic, (intuitionistic) type theories, is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludeds with a set of exercises. 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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理系図1F 開架 | 412.6/L 17 | 1988 |
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068252190009477 |
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理系図3F 数理独自 | LAMB/40/2A | 1994 |
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068222194007637 |
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理系図 自動書庫 | 411.6/L 16 | 1994 |
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068222195008818 |
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: pbk | 中央図 3E | 412.7/L 16/1 | 1986 |
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068582188007176 |
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: pbk | 理系図1F 開架 | 411.6/L 16 | 1994 |
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003211997002942 |
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書誌詳細
| 一般注記 | Bibliography: p. [279]-288 Includes index |
|---|---|
| 著者標目 | *Lambek, Joachim Scott, P. J. |
| 件 名 | LCSH:Categories (Mathematics) NDLSH:カテゴリー(数学) |
| 分 類 | LCC:QA169 DC19:512/.55 NDC8:411.6 |
| 書誌ID | 1000048712 |
| ISBN | 0521246652 |
| NCID | BA00109670 |
| 巻冊次 | ISBN:0521246652 : pbk ; ISBN:0521356539 |
| 登録日 | 2009.09.10 |
| 更新日 | 2009.09.17 |