Category Theory for Programming
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866915838213226496 |
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| author | Ahrens, Benedikt Wullaert, Kobe |
| author_facet | Ahrens, Benedikt Wullaert, Kobe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01259 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Category Theory for Programming Ahrens, Benedikt Wullaert, Kobe Programming Languages Category Theory 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. |
| title | Category Theory for Programming |
| topic | Programming Languages Category Theory |
| url | https://arxiv.org/abs/2209.01259 |