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Temporal Structures

Published online by Cambridge University Press:  04 March 2009

Ross Casley ,
Roger F. Crew ,
José Meseguer  and
Vaughan Pratt
Ross Casley
Affiliation:
Dept. of Computer Science, Stanford University, Stanford, CA 94305
Roger F. Crew
Affiliation:
Dept. of Computer Science, Stanford University, Stanford, CA 94305
José Meseguer
Affiliation:
SRI International, Menlo Park, CA 94025 and Center for the Study of Language and Information, Stanford University, Stanford, CA 94305
Vaughan Pratt
Affiliation:
Dept. of Computer Science, Stanford University, Stanford, CA 94305
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Abstract

We combine the principles of the Floyd-Warshall-Kleene algorithm, enriched categories, and Birkhoff arithmetic, to yield a useful class of algebras of transitive vertex-labeled spaces. The motivating application is a uniform theory of abstract or parametrized time in which to any given notion of time there corresponds an algebra of concurrent behaviors and their operations, always the same operations but interpreted automatically and appropriately for that notion of time. An interesting side application is a language for succinctly naming a wide range of datatypes.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 1 , Issue 2 , July 1991 , pp. 179 - 213
Copyright
Copyright © Cambridge University Press 1991

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