True Concurrency Can Be Easy

11/01/2022

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by   Roberto Gorrieri, et al.

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Step net bisimulation is a coinductive behavioral relation for finite Petri nets, which is a smooth generalization of the definition of standard step bisimulation <cit.> on finite Petri nets. Its induced equivalence offers an alternative, much simpler characterization of causal-net bisimilarity <cit.>, as it does not resort to any causality structure, and of structure-preserving bisimilarity <cit.>, as it does not require bijective mappings between related markings. We show that step net bisimilarity can be characterized logically by means of a suitable modal logic, called NML (acronym of net modal logic): two markings are step net bisimilar if and only if they satisfy the same NML formulae.