Categories for Types Paperback / softback
by Roy L. (Imperial College of Science, Technology and Medicine, London) Crole
Paperback / softback
Description
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 specialising in category theory.
Information
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Out of stock
- Format:Paperback / softback
- Pages:356 pages
- Publisher:Cambridge University Press
- Publication Date:27/01/1994
- Category:
- ISBN:9780521457019
Information
-
Out of stock
- Format:Paperback / softback
- Pages:356 pages
- Publisher:Cambridge University Press
- Publication Date:27/01/1994
- Category:
- ISBN:9780521457019