On The Verification Of Timed Ad Hoc Networks

We study decidability and undecidability results for parameterized verification of a formal model of timed Ad Hoc network protocols. The communication topology is represented by a graph and the behavior of each node is represented by a timed automaton communicating with its neighbors via broadcast messages. We consider verification problems formulated in terms of reachability, starting from initial configurations of arbitrary size, of a configuration that contain at least one occurrence of a node in a certain state. We study the problem for dense and discrete time and compare the results with those obtained for (fully connected) networks of timed automata.