Fixed-point Characterization of Compositionality Properties of Probabilistic Processes Combinators

Daniel Gebler
(VU University Amsterdam)
Simone Tini
(University of Insubria)

Bisimulation metric is a robust behavioural semantics for probabilistic processes. Given any SOS specification of probabilistic processes, we provide a method to compute for each operator of the language its respective metric compositionality property. The compositionality property of an operator is defined as its modulus of continuity which gives the relative increase of the distance between processes when they are combined by that operator. The compositionality property of an operator is computed by recursively counting how many times the combined processes are copied along their evolution. The compositionality properties allow to derive an upper bound on the distance between processes by purely inspecting the operators used to specify those processes.

In Johannes Borgström and Silvia Crafa: Proceedings Combined 21st International Workshop on Expressiveness in Concurrency and 11th Workshop on Structural Operational Semantics (EXPRESS/SOS 2014), Rome, Italy, 1st September 2014, Electronic Proceedings in Theoretical Computer Science 160, pp. 63–78.
Published: 6th August 2014.

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