Categories for Types 2024 pdf epub mobi 电子书

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发表于2024-11-24

Categories for Types 2024 pdf epub mobi 电子书

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出版者:

作者:Crole, Roy L.

出品人:

页数:356

译者:

出版时间:1994-1

价格:$ 88.14

装帧:

isbn号码:9780521457019

丛书系列:Cambridge Mathematical Textbooks

图书标签: 范畴论类型论 type category

Categories for Types 2024 pdf epub mobi 电子书图书描述

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.

Categories for Types 2024 pdf epub mobi 电子书

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