On the Reversibility of Live Equal-Conflict Petri Nets
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A Petri net is reversible if its initial marking is a home marking, a marking reachable from any reachable marking. This property is fundamental in man-made systems as it lets a system return to its initial state using only internal operations.
Necessary and sufficient conditions are already known for the reversibility of well-formed Choice-Free and ordinary Free-Choice nets. Like the homogeneous Join-Free nets, these nets constitute subclasses of Equal-Conflict nets. In this larger class, the reversibility property is not well understood.
This paper provides the first characterization of reversibility for all the live Equal-Conflict systems by extending, in a weaker form, a known condition that applies to the Choice-Free and Free-Choice subclasses. We also show that this condition is tightly related to the Equal-Conflict class and does not apply to several other classes.
KeywordsReversibility Home markings Liveness Weighted petri nets Characterization Equal-conflict Join-free Choice-free Free-choice
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