Three numerical coverage metrics for the symbolic simulation of densetime systems and their estimation methods are presented. Special techniques to derive numerical estimations of dense-time state-spaces have also been developed. Properties of the metrics are also discussed with respect to four criteria. Implementation and experiments are then reported.
Inevitability properties in branching temporal logics are of the syntax ∀♦φ, where φ is an arbitrary (timed) CTL formula. In the sense that "good things will happen", they are parallel to the "liveness" properties in linear temporal logics. Such inevitability properties in dense-time logics can be analyzed with greatest fixpoint calculation. We present algorithms to model-check inevitability properties both with and without requirement of non-Zeno computations. We discuss a technique for early decision on greatest fixpoints in the temporal logics. Our algorithms come with a d-parameter for the measurement of time-progress. We have experimented with various issues, which may affect the performance of TCTL inevitability analysis. Specifically, we report the performance of our implementation w.r.t. various d-parameter values and with or without the non-Zeno computation requirement in the evaluation of greatest fixpoints. We have also experimented with safe abstration techniques for model-checking TCTL inevitability properties. Analysis on the experiment data helps clarify how various techniques can be used to improve verification of inevitability properties.
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