
This paper tries to explain why and how category theory is useful in computing science, by giving guidelines for applying seven basic categorical concepts: category, functor, natural transformation, limit, adjoint, colimit and comma category. Some examples, intuition, and references are given for each concept, but completeness is not attempted. Some additional categorical concepts and some suggestions for further research are also mentioned. The paper concludes with some philosophical discussion.
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory, Theory of computing, General theory of categories and functors, Philosophical and critical aspects of logic and foundations, category theory for computer scientists
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory, Theory of computing, General theory of categories and functors, Philosophical and critical aspects of logic and foundations, category theory for computer scientists
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| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 1% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
