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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 c1986
本文言語 英語
大きさ ix, 293 p. ; 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 Detailed historical references are provided throughout, and each section concludeds with a set of exercises. 続きを見る

所蔵情報


理系図3F 数理独自 068222186004958 LAMB/40/2 1986

書誌詳細

一般注記 Bibliography: p. [279]-288
Includes indexes
著者標目 *Lambek, Joachim
Scott, P. J.
件 名 LCSH:Categories (Mathematics)
分 類 LCC:QA169
DC19:512/.55
書誌ID 1001402181
ISBN 0521246652
NCID BA29609620
巻冊次 ISBN:0521246652
登録日 2009.11.02
更新日 2009.11.02

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