Relational methods in computer science
Relational methods in computer science
Universal coalgebra: a theory of systems
Theoretical Computer Science - Modern algebra and its applications
The Demonic Product of Probabilistic Relations
FoSSaCS '02 Proceedings of the 5th International Conference on Foundations of Software Science and Computation Structures
Category Theory and Computer Science
Semi-pullbacks and bisimulation in categories of Markov processes
Mathematical Structures in Computer Science
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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.