MITL Verification Under Timing Uncertainty

Daniel Selvaratnam; Michael Cantoni; J. M. Davoren; Iman Shames

doi:10.1007/978-3-031-15839-1_8

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arXiv · 2204.10493

MITL Verification Under Timing Uncertainty

Daniel Selvaratnam·Michael Cantoni·J. M. Davoren·Iman Shames

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Abstract

A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals are available for the times at which the individual atomic propositions hold true for a given signal. These are combined inductively to generate corresponding over- and under-approximations for the specified MITL formula. The gap between the over- and under-approximations reflects timing uncertainty with respect to the signal being verified, thereby providing a quantitative measure of the conservativeness of the algorithm. The verification is exact when the over-approximations for the atomic propositions coincide with the under-approximations. Numerical examples are provided to illustrate.

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Daniel Selvaratnam, Michael Cantoni, J. M. Davoren, Iman Shames. 2022-08-16. MITL Verification Under Timing Uncertainty. https://doi.org/10.1007/978-3-031-15839-1_8

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