Making Functionality More General
Hutton, Graham and Voermans, Ed (1992) Making Functionality More General. In: Proceedings of the 1991 Glasgow Workshop on Functional Programming, Skye, Scotland.
The definition for the notion of a "function" is not cast in stone, but depends upon what we adopt as types in our language. With partial equivalence relations (pers) as types in a relational language, we show that the functional relations are precisely those satisfying the simple equation f = f o fu o f, where "o" and "u" are respectively the composition and converse operators for relations. This article forms part of "A calculational theory of pers as types".
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