Relationships between category theory and functional programming with an application

Authors

ALPER ODABAŞ
ELİS SOYLU

DOI

10.3906/mat-1807-189

Abstract

The most recent studies in mathematics are concerned with objects, morphisms, and the relationship between morphisms. Prominent examples can be listed as functions, vector spaces with linear transformations, and groups with homomorphisms. Category theory proposes and constitutes new structures by examining objects, morphisms, and compositions. Source and target of a morphism in category theory corresponds to input and output in programming language. Thus, a connection can be obtained between category theory and functional programming languages. From this point, this paper constructs a small category implementation in a functional programming language called Haskell.

Keywords

Category theory, functional programming, Haskell

First Page

1566

Last Page

1577

Recommended Citation

ODABAŞ, ALPER and SOYLU, ELİS (2019) "Relationships between category theory and functional programming with an application," Turkish Journal of Mathematics: Vol. 43: No. 3, Article 34. https://doi.org/10.3906/mat-1807-189
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/34