Cover of Categories for Types by Crole, Roy L., ISBN 9780521450928
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Categories for Types

CATEGORIES FOR TYPES

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Hardback · ISBN 9780521450928

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Key Specifications

ISBN 9780521450928
Subtitle CATEGORIES FOR TYPES
Publisher Cambridge University Press
Publication date January 1994
Language English
MRP £131.00 GBP
Page count 356
Item weight 153 g

This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.