Specification of real-time systems using a timed automata model with shared variables and verification of partial-deadlock freeness

We propose a timed automata model with shared variables (TASV). A TASV is a set of extended timed automata (ETAs) with shared boolean variables. For this model, we propose (I) an algorithm which decides whether a given TASV is partial-deadlock free, and (2) a sufficient condition that we can efficiently prove a given TASV is partial-deadlock free. Each ETA in a TASV can access to /modify, shared boolean variables independently. By constructing a tuple automaton for all ETAs in a given TASV we can decide the existence of deadlocks. However, such an approach causes the state explosion problem. Our algorithm and our proposed sufficient condition reduce the possibility of the state explosion by dividing the ETAs into some sets and proving their partial-deadlock freeness independently