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A Category-Theoretic Semantics for Unbounded Indeterminacy

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Abstract

In this paper we give a category-theoretic semantics for a simple imperative language featuring unbounded indeterminacy. This semantics satisfies the categorical analogues of continuity and has the meaning of while loops defined as co-limits of ω-diagrams. Furthermore, it collapses via an abstraction function to a semantics that is fully abstract, and coincides with the operational semantics. The abstraction function is the only discontinuous function appearing in our semantics.

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1988-12

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Cornell University

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computer science; technical report

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http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR88-957

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technical report

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