2016/09/14 by Benjamin Aminof, Aminof, Benjamin, Sasha Rubin +5
Computer Science · Engineering · #FOS: Computer and information sciences #Flexible and Reconfigurable Manufacturing Systems #Formal Methods in Verification #Logic in Computer Science (cs.LO) #Petri Nets in System Modeling
paper · pdf · doi:10.48550/arxiv.1609.04176
openalex publication_date 2016/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or S-automata. Such specifications are very expressive (they strictly subsume omega-regular specifications), and easily express complex liveness and safety properties. Our results are obtained by modeling the passage of time using symmetric broadcast, and by solving the model checking problem of parameterized systems of un-timed processes communicating using k-wise rendezvous and symmetric broadcast. Our decidability proof makes use of automata theory, rational linear programming, and geometric reasoning for solving certain reachability questions in vector addition systems; we believe these proof techniques will be useful in solving related problems.