On Expressiveness and Complexity in Real-time Model Checking

Patricia Bouyer (1) , Nicolas Markey (1) , Joël Ouaknine (2) , James Worrell (2)

1 LSV - Laboratoire Spécification et Vérification [Cachan]
2 OUCL - Computing Laboratory

Metric Interval Temporal Logic (MITL) is a popular formalism for expressing real-time specifications. This logic achieves decidability by restricting the precision of timing constraints, in particular, by banning so-called \emphpunctual specifications. In~this paper we~introduce a significantly more expressive logic that can express a wide variety of punctual specifications, but whose model-checking problem has the same complexity as that of~MITL. We~conclude that for model checking the most commonly occurring specifications, such as invariance and bounded response, punctuality can be accommodated at no cost.

Domaines: Logique en informatique [cs.LO]

Patricia Bouyer, Nicolas Markey, Joël Ouaknine, James Worrell. On Expressiveness and Complexity in Real-time Model Checking. Proceedings of the 35th International Colloquium on Automata, Languages and Programming (ICALP'08)~― Part~II, 2008, Reykjavik, Iceland. pp.124-135, ⟨10.1007/978-3-540-70583-3_11⟩. ⟨hal-01194597⟩