Category Theory for Programming

Benedikt Ahrens; Kobe Wullaert

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arXiv · 2209.01259

Category Theory for Programming

Benedikt Ahrens·Kobe Wullaert

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Abstract

In these lecture notes, we give a brief introduction to some elements of category theory. The choice of topics is guided by applications to functional programming. Firstly, we study initial algebras, which provide a mathematical characterization of datatypes and recursive functions on them. Secondly, we study monads, which give a mathematical framework for effects in functional languages. The notes include many problems and solutions.

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Benedikt Ahrens, Kobe Wullaert. 2022-09-02. Category Theory for Programming. https://arxiv.org/abs/2209.01259

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