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Falsification of LTL safety properties in hybrid systems

  • TACAS 2009
  • Published:
International Journal on Software Tools for Technology Transfer Aims and scope Submit manuscript

Abstract

This paper develops a novel approach for the falsification of safety properties given by a syntactically safe linear temporal logic (LTL) formula \({\phi}\) for hybrid systems with nonlinear dynamics and input controls. When the hybrid system is unsafe, the approach computes a trajectory that indicates violation of \({\phi}\) . The approach is based on an effective combination of model checking and motion planning. Model checking searches on-the-fly the automaton of \({\neg\phi}\) and an abstraction of the hybrid system for a sequence σ of propositional assignments that violates \({\phi}\) . Motion planning incrementally extends trajectories that satisfy more and more of the propositional assignments in σ. Model checking and motion planning regularly exchange information to find increasingly useful sequences σ for extending the current trajectories. Experiments that test LTL safety properties on a robot navigation benchmark modeled as a hybrid system with nonlinear dynamics and input controls demonstrate the computational efficiency of the approach. Experiments also indicate significant speedup when using minimized DFA instead of non-minimized NFA for representing \({\neg\phi}\) .

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Author notes

  1. Erion Plaku

    Present address: Department of Electrical Engineering and Computer Science, Catholic University of America, Washington, DC, 20064, USA

Authors and Affiliations

  1. Department of Computer Science, Rice University, Houston, TX, 77005, USA

    Erion Plaku, Lydia E. Kavraki & Moshe Y. Vardi

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  1. Erion Plaku
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  2. Lydia E. Kavraki
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  3. Moshe Y. Vardi
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Corresponding author

Correspondence to Lydia E. Kavraki.

Additional information

A preliminary version of this work appeared in the Intl Conf on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2009), LNCS vol. 5505, pp. 368–382.

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Plaku, E., Kavraki, L.E. & Vardi, M.Y. Falsification of LTL safety properties in hybrid systems. Int J Softw Tools Technol Transfer 15, 305–320 (2013). https://doi.org/10.1007/s10009-012-0233-2

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