In: Information Processing Letters 41 (1992) 313-319, N. Holland, Elsevier Sci. Publ. BV. 1992.
Abstract: Given a marking m of a Petri net, the covering problem consists of determining if there exists a reachable marking m'. We show that the covering problem for 1-bounded conflict-free Petri nets is polynomially 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.