We study the axiomatisability of CCS parallel composition operator modulo weak bisimulation-based congruences. Specifically, we prove that all congruences that are coarser than rooted branching bisimilarity, and finer than rooted weak bisimilarity, do not admit a finite equational axiomatisation over the recursion, restriction, and relabelling free fragment of CCS.

Non finite axiomatisability of weak bisimulation-based congruences

Aceto, Luca;
2025-01-01

Abstract

We study the axiomatisability of CCS parallel composition operator modulo weak bisimulation-based congruences. Specifically, we prove that all congruences that are coarser than rooted branching bisimilarity, and finer than rooted weak bisimilarity, do not admit a finite equational axiomatisation over the recursion, restriction, and relabelling free fragment of CCS.
2025
CCS, Non-finite axiomatisation, Parallel composition, Rooted branching bisimilarity, Rooted weak bisimilarity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/35705
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