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Computational Comonads and Intensional Semantics Export

edited by: M. P. Fourman, P. T. Johnstone, A. M. Pitts

In Applications of Categories in Computer Science: Proceedings LMS Symp., Durham, {UK}, 20--30 July 1991, Vol. 177 (1992), pp. 1-44.

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We explore some foundational issues in the development of a theory of intensional semantics. A programming language may be given a variety of semantics, differing in the level of abstraction; one generally chooses the semantics at an abstraction level appropriate for reasoning about a particular kind of program property. Extensional semantics are typically appropriate for proving properties such as partial correctness, but an intensional semantics at a lower abstraction level is required in...


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