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arXiv · 2105.07595

A Complete Axiomatisation for Divergence Preserving Branching Congruence of Finite-State Behaviours

Xinxin Liu·Tingting Yu
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Abstract

We present an equational inference system for finite-state expressions, and prove that the system is sound and complete with respect to divergence preserving branching congruence, closing a problem that has been open since 1993. The inference system refines Rob van Glabbeek's simple and elegant complete axiomatisation for branching bisimulation congruence of finite-state behaviours by joining four simple axioms after dropping one axiom which is unsound under the more refined divergence sensitive semantics.

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Xinxin Liu, Tingting Yu. 2021-05-17. A Complete Axiomatisation for Divergence Preserving Branching Congruence of Finite-State Behaviours. https://arxiv.org/abs/2105.07595

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