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arXiv · 2304.06645

Robustness Measures and Monitors for Time Window Temporal Logic

Ahmad Ahmad·Cristian-Ioan Vasile·Roberto Tron·Calin Belta
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Abstract

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can easily express robotic tasks, and it allows for efficient, automata-based verification and synthesis of control policies for such systems. In this paper, we define two quantitative semantics for this logic, and two corresponding monitoring algorithms, which allow for real-time quantification of satisfaction of formulas by trajectories of discrete-time systems. We demonstrate the new semantics and their runtime monitors on numerical examples.

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Ahmad Ahmad, Cristian-Ioan Vasile, Roberto Tron, Calin Belta. 2023-04-13. Robustness Measures and Monitors for Time Window Temporal Logic. https://arxiv.org/abs/2304.06645

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