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A category-theoretic account of program modules

Published online by Cambridge University Press:  04 March 2009

Eugenio Moggi
Eugenio Moggi
Affiliation:
LFCS, University of Edinburgh, EH9 3JZ Edinburgh, UK
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Abstract

The type-theoretic explanation of modules proposed to date (for programming languages like ML) is unsatisfactory, because it does not capture that the evaluation of type-expressions is independent from the evaluation of program expressions. We propose a new explanation based on ‘programming languages as indexed categories’ and illustrate how ML can be extended to support higher order modules, by developing a category-theoretic semantics for a calculus of modules with dependent types. The paper also outlines a methodology, which may lead to a modular approach in the study of programming languages.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 1 , Issue 1 , March 1991 , pp. 103 - 139
Copyright
Copyright © Cambridge University Press 1991

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