Hybrid systems: from verification to falsification by combining motion planning and discrete search

  • Authors:
  • Erion Plaku;Lydia E. Kavraki;Moshe Y. Vardi

  • Affiliations:
  • Department of Computer Science, Rice University, Houston, USA 77005;Department of Computer Science, Rice University, Houston, USA 77005;Department of Computer Science, Rice University, Houston, USA 77005

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 2009

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Abstract

We propose HyDICE, Hybrid Discrete Continuous Exploration, a multi-layered approach for hybrid-system falsification that combines motion planning with discrete search and discovers safety violations by computing witness trajectories to unsafe states. The discrete search uses discrete transitions and a state-space decomposition to guide the motion planner during the search for witness trajectories. Experiments on a nonlinear hybrid robotic system with over one million modes and experiments with an aircraft conflict-resolution protocol with high-dimensional continuous state spaces demonstrate the effectiveness of HyDICE. Comparisons to related work show computational speedups of up to two orders of magnitude.