A Solution to the Covering Problem for 1-Bounded Conflict-Free Petri Nets Using Linear Programming

Abstract Given a marking μ of a Petri net, the covering problem consist of determining if there exists a reachable marking μ'⩾. We show that the covering problem for 1-bounded conflict-free Petri nets ispolynomially reducible to a Linear Programming problem. This proves that the covering problem is in PTIME for this class of Petri nets, which generalises a result of Yen.