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Some monoidal closed categories of stable domains and event structures

Published online by Cambridge University Press:  04 March 2009

Guo-Qiang Zhang
Guo-Qiang Zhang
Affiliation:
Artificial Intelligence Laboratory, Department of EECS, The University of Michigan, Ann Arbor, MI 48109
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Abstract

This paper introduces the following new constructions on stable domains and event structures: the tensor product; the linear function space; and the exponential. These give rise to a monoidal closed category of dI-domains and to stable event structures, which can be used to interpret intuitionistic linear logic. Finally, the usefulness of the category of stable event structures for modeling concurrency and its relation to other models are discussed.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 3 , Issue 2 , June 1993 , pp. 259 - 276
Copyright
Copyright © Cambridge University Press 1993

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