ENGLISH

Introduction to higher-order categorical logic

By Lambek J. , Scott P.J.

Book information

Publisher
Cambridge University Press
Year
1994
ISBN
0521356539
Language
english
Format
DJVU
Filesize
2 MB (2612236 bytes)
Series
Cambridge Studies in Advanced Mathematics 7
Edition
4pr.
Pages
303\303
Library
Kolxo3
DPI
600
Time added
2013-12-29 19:00:00

Description

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 Detailed historical references are provided throughout, and each section concludeds with a set of exercises

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