“…A variety of proof techniques for timed automata have been developed, including invariant assertions and simulations 20 , compositional methods based on shared actions 18, 5 , 16 , and temporal logic methods 24 . Applications of the model to asynchronous and timing-based distributed algorithms appear in 22,15,12,11,16 , applications to communication systems appear in 24, 9 , 1 , and applications to real-time control trains and gates, steam boiler control appear in 8, 1 0 .…”