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arXiv · 1506.01762

Monitoring Bounded LTL Properties Using Interval Analysis

Daisuke Ishii·Naoki Yonezaki·Alexandre Goldsztejn
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Abstract

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We relax the problem to allow outputting an inconclusive result when verification process cannot succeed with a prescribed precision, and present an efficient and rigorous monitoring algorithm that demonstrates that the problem is decidable. This algorithm performs a forward simulation of a hybrid automaton, detects a set of time intervals in which the atomic propositions hold, and validates the property by propagating the time intervals. A continuous state at a certain time computed in each step is enclosed by an interval vector that is proven to contain a unique solution. In the experiments, we show that the proposed method provides a useful tool for formal analysis of nonlinear and complex hybrid systems.

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Daisuke Ishii, Naoki Yonezaki, Alexandre Goldsztejn. 2015-06-05. Monitoring Bounded LTL Properties Using Interval Analysis. https://arxiv.org/abs/1506.01762

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