On the Decidability of Metric Temporal Logic

8 years 11 months ago
On the Decidability of Metric Temporal Logic
Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with nonprimitive recursive complexity. We also consider the model-checking problem for MTL: whether all words accepted by a given Alur-Dill timed automaton satisfy a given MTL formula. We show that this problem is decidable over finite words. Over infinite words, we show that model checking the safety fragment of MTL—which includes invariance and time-bounded response properties—is also decidable. These results are quite surprising in that they contradict various claims to the contrary that have appeared in the literature. The question of the decidability of MTL over infinite words remains open.
Joël Ouaknine, James Worrell
Added 25 Jun 2010
Updated 25 Jun 2010
Type Conference
Year 2005
Where LICS
Authors Joël Ouaknine, James Worrell
Comments (0)