Arrows, like Monads, are Monoids

Monads are by now well-established as programming construct in functional languages. Recently, the notion of "Arrow" was introduced by Hughes as an extension, not with one, but with two type parameters. At first, these Arrows may look somewhat arbitrary. Here we show that they are categorically fairly civilised, by showing that they correspond to monoids in suitable subcategories of bifunctors Cop

• Type: Journal
• Year: 2006
• Where: ENTCS
• Authors: Chris Heunen, Bart Jacobs
• Keywords: ENTCS 2006, Freyd Categories, Functional Languages, Monoid