On Interleaving in Timed Automata

Ramzi Ben Salah (1) , Marius Bozga (1) , Oded Maler (1)

1 VERIMAG - IMAG - VERIMAG

We propose a remedy to that part of the state-explosion problem for timed automata which is due to interleaving of actions. We prove the following quite surprising result: the union of all zones reached by different interleavings of the same set of transitions is convex. Consequently we can improve the standard reachability computation for timed automata by merging such zones whenever they are encountered. Since passage of time distributes over union, we can continue the successor computation from the new zone and eliminate completely the explosion due to interleaving.

Keywords: timed automata; interleaving semantics; convex zones

Domains: Embedded Systems

Ramzi Ben Salah, Marius Bozga, Oded Maler. On Interleaving in Timed Automata. CONCUR 2006 - Concurrency Theory 17th International Conference, CONCUR 2006, Aug 2006, Bonn, Germany. pp.456-476, ⟨10.1007/11817949⟩. ⟨hal-00369800⟩