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We consider Dense-Timed Petri Nets (TPN), an extension of Petri nets in which each token is equipped with a real-valued clock and where the semantics is lazy (i.e., enabled transitions need not fire; time can pass and disable transitions). We consider the following verification problems for TPNs. (i) Zenoness: whether there exists a zeno-computation from a given marking, i.e., an infinite computation which takes only a finite amount of time. We show decidability of zenoness for TPNs, thus solving an open problem from (dFERA00). Furthermore, the related question if there exist arbitrarily fast computations from a given marking is also decidable.

Dense-Timed Petri Nets: Checking Zenoness, Token liveness and Boundedness