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Issue title: Formal Models - Computability, Complexity, Applications
Article type: Research Article
Authors: Cardelli, Luca | Mardare, Radu
Affiliations: Microsoft Research Cambridge, UK. luca@microsoft.com | Dept. of Computer Science, Aalborg University, Denmark. mardare@cs.aau.dk
Note: [] Address for correspondence: Microsoft Research Cambridge, UK
Abstract: We introduce a stochastic extension of CCS endowed with structural operational semantics expressed in terms of measure theory. The set of processes is organised as a measurable space by the sigma-algebra generated by structural congruence. The structural operational semantics associates to each process a set of measures over the space of processes. The measures encode the rates of the transitions from a process (state of a system) to a measurable set of processes. We prove that the stochastic bisimilarity is a congruence, which extends the structural congruence. In addition to an elegant operational semantics, our calculus provides a canonic way to define metrics on processes that measure how similar two processes are in terms of behaviour.
Keywords: Markov processes, stochastic process algebras, structural operational semantics
DOI: 10.3233/FI-2014-1019
Journal: Fundamenta Informaticae, vol. 131, no. 3-4, pp. 351-371, 2014
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