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Data Categories

by: Barry C Jay

edited by: ME Houle, P Eades

Vol. 18 (1996), pp. 21-28.


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Data categories and functors, and the strong natural transformations between them provide a universe in which to model parametric polymorphism. Data functors are distinguished by being decomposable into shape and data, i.e. they represent types that store data. Every strong transformation between two such is given by a uniform algorithm, and so may represent a polymorphic term. The data functors are closed under composition, finite products and sums, exponentiation by an object, final...


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