Arrows and computation
The Fun of Programming, page 201--222. (2003)Abstract
With this machinery, we can give a common structure to programs based on different notions of computation. The generality of arrows tends to force one into a point-free style, which is useful for proving general properties. However it is not to everyone's taste, and can be awkward for programming specific instances. The solution is a point-wise notation for arrows, which is automatically translated to the functional language Haskell. Each notion of computation thus defines a special sublanguage of Haskell. 1 Notions of computation We shall explore what we mean by a notion of computation using four varied examples. As a point of comparison, we shall consider how the following operator on functions may be generalized to the various types of `function-like ' components.