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arXiv · 2408.06983

Optimization-Based Model Checking and Trace Synthesis for Complex STL Specifications

Sota Sato·Jie An·Zhenya Zhang·Ichiro Hasuo
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Abstract

We present a bounded model checking algorithm for signal temporal logic (STL) that exploits mixed-integer linear programming (MILP). A key technical element is our novel MILP encoding of the STL semantics; it follows the idea of stable partitioning from the recent work on SMT-based STL model checking. Assuming that our (continuous-time) system models can be encoded to MILP -- typical examples are rectangular hybrid automata (precisely) and hybrid dynamics with closed-form solutions (approximately) -- our MILP encoding yields an optimization-based model checking algorithm that is scalable, is anytime/interruptible, and accommodates parameter mining. Experimental evaluation shows our algorithm's performance advantages especially for complex STL formulas, demonstrating its practical relevance e.g. in the automotive domain.

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Sota Sato, Jie An, Zhenya Zhang, Ichiro Hasuo. 2024-08-13. Optimization-Based Model Checking and Trace Synthesis for Complex STL Specifications. https://arxiv.org/abs/2408.06983

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