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Crole, Roy L. 作者

译者

1994-1 出版日期

356 页数

$ 88.14 价格

Cambridge Mathematical Textbooks 丛书系列

9780521457019 图书编码

Categories for Types 在线电子书图书标签: 范畴论类型论 type category

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发表于2024-06-18

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Categories for Types 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Categories for Types 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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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.

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