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Erschienen in:
2003 | OriginalPaper | Buchkapitel
The Converse of a Stochastic Relation
verfasst von : Ernst-Erich Doberkat
Erschienen in: Foundations of Software Science and Computation Structures
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Transition probabilities are proposed as the stochastic counterparts to set-based relations. We propose the construction of the converse of a stochastic relation. It is shown that two of the most useful properties carry over: the converse is idempotent as well as anticommutative. The nondeterminism associated with a stochastic relation is defined and briefly investigated. We define a bisimulation relation, and indicate conditions under which this relation is transitive; moreover it is shown that bisimulation and converse are compatible.