An Automatic Technique for Checking the Simulation of Timed Systems

In this paper, we suggest an automatic technique for checking the timed weak simulation between timed transition systems. The technique is an observation-based method in which two timed transition systems are composed with a timed observer. A μ-calculus property that captures the timed weak simulation is then verified on the result of the composition. An interesting feature of the suggested technique is that it only relies on an untimed μ-calculus model-checker without any specific algorithm needed to analyze the result of the composition. We also show that our simulation relation supports interesting results concerning the trace inclusion and the preservation of linear properties. Finally, the technique is validated using the FIACRE/TINA toolset.