BibTeX
@TECHREPORT{Jones93composingmonads,
author = {Mark P. Jones and Luc Duponcheel},
title = {Composing Monads},
institution = {},
year = {1993}
}
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Abstract
Monads are becoming an increasingly important tool for functional programming. Different monads can be used to model a wide range of programming language features. However, real programs typically require a combination of different features, so it is important to have techniques for combining several features in a single monad. In practice, it is usually possible to construct a monad that supports some specific combination of features. However, the techniques used are typically ad-hoc and it is very difficult to find general techniques for combining arbitrary monads. This report gives three general constructions for the composition of monads, each of which depends on the existence of an auxiliary function linking the monad structures of the components. In each case, we establish a set of laws that the auxiliary function must satisfy to ensure that the composition is itself a monad. Using the notation of constructor classes, we describe some specific applications of these constructions....
Keyphrases
auxiliary function language feature specific combination real program functional programming general technique different monad monad structure constructor class several feature important tool general construction wide range specific application arbitrary monad different feature single monad
