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Concurrency in timed models.

Together with Serge Haddad and Patricia Bouyer, we recently focussed on the comparison of different timed models expressing concurrency.

We have first proposed a new transformation form timed automata to time Petri nets (TPN). This transformation allows to express additional features of timed automata (diagonal constraints, updates to integral values), and the composition of timed automata. These results will be published at the conference ACSD'06.

We have then studied the relative expressiveness power (w.r.t. language acceptance) of two classical models, namely timed automata and timed Petri nets (TdPN). We have shown that these models coincide on finite and non-Zeno infinite words, using the introduction of read arcs. These results will be published at the conference ICALP'06.

Finally, we have extended Mc Millan algorithm, which computes a complete finite prefix of the unfolding of a Petri net. Our algorithm handles the framework of netwrok of timed automata with invariants. This framewrok induces several difficulties: first, it is in general not an easy task to adapt partial orders methods to timed systems. Second, it is worth noticing that because of invariants, time behaves as a global synchronization. Our method relies partially on the previous work on timed Petri nets, but also on the feature of read arcs, which allows us to express precisely dependencies between events. This work can be found as a technical report of LSV.

These publications can be found on my publication webpage .

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