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Resource Bisimilarity in Petri Nets is Decidable
Petri nets are a popular formalism for modeling and analyzing distributed
systems. Tokens in Petri net models can represent the control flow state or
resources produced/consumed by transition firings. We define a resource as a
part (submultiset) of the Petri net marking and call two resources equivalent
iff replacing one of them with another in any marking does not change the
observable Petri net behavior. We investigate the resource similarity and the
resource bisimilarity -- congruent restrictions of the bisimulation equivalence
on Petri net markings and prove that the resource bisimilarity is decidable in
contrast to the resource similarity.Comment: New version for submission to the journa