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Categories, types and structures - Introduction to category theory for computer scientists book pdf




Categories, types and structures - Introduction to category theory for computer scientists


Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged.
Categories, Types, and Structures
An Introduction to Category Theory for the Working Computer Scientist
(Foundations of Computing Series)
Andrea Asperti, Giuseppe Longo
1991
ISBN-10 : 0262011255
ISBN-13 : 978-0262011259

This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design. "Categories, Types and structures" provides a self-contained introduction to general category theory and explains the mathematical structures that have been the foundation of language design for the past two decades. The authors observe that the language of categories could provide a powerful means of standardizing of methods and language, and offer examples ranging from the early dialects of LISP, to Edinburgh ML, to work in polymorphisms and modularity.