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arXiv · 1810.07488

Axiomatising Infinitary Probabilistic Weak Bisimilarity of Finite-State Behaviours

Nick Fischer·Rob van Glabbeek
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Abstract

In concurrency theory, weak bisimilarity is often used to relate processes exhibiting the same observable behaviour. The probabilistic environment gives rise to several generalisations; we study the infinitary semantics, which abstracts from a potentially unbounded number of internal actions being performed when something observable happens. Arguing that this notion yields the most desirable properties, we provide a sound and complete axiomatisation capturing its essence. Previous research has failed to achieve completeness in the presence of unguarded recursion, as only the finitary variant has been axiomatised, yet.

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Nick Fischer, Rob van Glabbeek. 2018-10-17. Axiomatising Infinitary Probabilistic Weak Bisimilarity of Finite-State Behaviours. https://doi.org/10.1016/j.jlamp.2018.09.006

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