Costs are Expensive!

Patricia Bouyer (1) , Nicolas Markey (1)

1 LSV - Laboratoire Spécification et Vérification [Cachan]

We study the model-checking problem for WMTL, a~cost-extension of the linear-time timed temporal logic MTL, that is interpreted over weighted timed automata. We~draw a complete picture of the decidability for that problem: it~is decidable only for the class of one-clock weighted timed automata with a restricted stopwatch cost, and any slight extension of this model leads to undecidability. We~finally give some consequences on the undecidability of linear hybrid automata.

Domaines: Logique en informatique [cs.LO]

Patricia Bouyer, Nicolas Markey. Costs are Expensive!. Proceedings of the 5th International Conference on Formal Modelling and Analysis of Timed Systems (FORMATS'07), 2007, Salzburg, Austria. pp.53-68, ⟨10.1007/978-3-540-75454-1_6⟩. ⟨hal-01194600⟩