2018/07/11 by Exequiel Rivas
Computer Science · #cs.LO #cs.PL
paper · pdf · doi:10.4204/eptcs.275.3
published as EPTCS 275, 2018, pp. 18-33 · In Proceedings MSFP 2018, arXiv:1807.03732
arxiv created 2018/07/11 · arxiv updated 2018/07/12
We revisit once again the connection between three notions of computation: monads, arrows and idioms (also called applicative functors). We employ monoidal categories of finitary functors and profunctors on finite sets as models of these notions of computation, and develop the connections between them through adjunctions. As a result, we obtain a categorical version of Lindley, Yallop and Wadler's characterisation of monads and idioms as arrows satisfying an isomorphism.