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<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
出版者 Cambridge [Cambridgeshire] ; New York : Cambridge University Press
出版年 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 Detailed historical references are provided throughout, and each section concludeds with a set of exercises.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 Detailed historical references are provided throughout, and each section concludeds with a set of exercises.
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所蔵情報


理系図1F 開架 068252190009477 412.6/L 17 1988

理系図3F 数理独自 068222194007637 LAMB/40/2A 1994

理系図 自動書庫 068222195008818 411.6/L 16 1994
: pbk 中央図 3E 068582188007176 412.7/L 16/1 1986
: pbk 理系図1F 開架 003211997002942 411.6/L 16 1994

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

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