Symbolic Analysis and Parameter Synthesis for Time Petri Nets Using Maude and SMT Solving

In this paper we present a concrete and a symbolic rewriting logic semantics for parametric time Petri nets with inhibitor arcs (PITPNs). We show how this allows us to use Maude combined with SMT solving to provide sound and complete formal analyses for PITPNs. We develop a new general folding approach for symbolic reachability that terminates whenever the parametric state-class graph of the PITPN is finite. We explain how almost all formal analysis and parameter synthesis supported by the state-of-the-art PITPN tool Romeo can be done in Maude with SMT. In addition, we also support analysis and parameter synthesis from parametric initial markings, as well as full LTL model checking and analysis with user-defined execution strategies. Experiments on three benchmarks show that our methods outperform Romeo in some cases.