Categorical Ideas As Expressed in the Programming Language Charity
Anseok Joo
Broschiertes Buch

Categorical Ideas As Expressed in the Programming Language Charity

Algebras and Coalgebras

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Within the past ten years, category theory has becomean import avenue of research in computer science. This book explores some categorical ideas introducedby B. Jacobs and J. Rutten in "A tutorial on(co)algebras and (co)induction" [EATCS Bulletin,62(222-259):3-13, 1997]. From foundational sets andfunctions, we gradually build up to definitions offunctors and diagrams. Then, we define algebras andcoalgebras and prove some properties used in the nextsection, where we show by examples how thecategorical ideas are implemented in the programminglanguage Charity. Exercises are sprinkled throughoutth...