Categories for Types (Cambridge Mathematical Textbooks)
Roy L. Crole
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.
年:
1994
出版:
1
出版社:
Cambridge University Press
语言:
english
页:
356
ISBN 10:
0521457017
ISBN 13:
9780521457019
文件:
PDF, 3.58 MB
IPFS:
,
english, 1994
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