ENGLISH

Introduction to Higher-Order Categorical Logic

By J. Lambek , P. J. Scott

Book information

Publisher
Cambridge University Press
Year
1988
ISBN
9780521356534, 0521356539
Language
english
Format
DJVU
Filesize
3 MB (2848824 bytes)
Series
Cambridge Studies in Advanced Mathematics 7
Pages
301\301
Time added
2010-10-13 10:14:08

Description

I was looking for a book for my girlfriend this Christmas and stumbled upon this one. At first I thought it would be too light but was I ever mistaken!! This book is so high that it would make Jack Kerouac dizzy. It begins with a treatment of basic category theory and ccc's and then goes on to present toposes and intuitionistic type theory. The authors take care to annotate their turnstile with the set of free variables (Hah! I bet you thought I had no idea what this book was about!) so that they can deal with empty types in a reasonable way. The treatment of presheaf models is very lucid and the discussion of internal languages and lambda-calculi is excellent. In fact many papers of Koymans are just exercises from this book worked out. The book is slightly out of date, no treatment of linear logic or symmetric monoidal-closed categories. Overall this book is highly recommended for the beginner and expert alike.

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