A box-based distance between regions for guiding the reachability analysis of spaceex

  • Authors:
  • Sergiy Bogomolov;Goran Frehse;Radu Grosu;Hamed Ladan;Andreas Podelski;Martin Wehrle

  • Affiliations:
  • University of Freiburg, Germany;Université Joseph Fourier Grenoble 1 --- Verimag, France;Vienna University of Technology, Austria;University of Freiburg, Germany;University of Freiburg, Germany;University of Freiburg, Germany, University of Basel, Switzerland

  • Venue:
  • CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
  • Year:
  • 2012

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Abstract

A recent technique used in falsification methods for hybrid systems relies on distance-based heuristics for guiding the search towards a goal state. The question is whether the technique can be carried over to reachability analyses that use regions as their basic data structure. In this paper, we introduce a box-based distance measure between regions. We present an algorithm that, given two regions, efficiently computes the box-based distance between them. We have implemented the algorithm in SpaceEx and use it for guiding the region-based reachability analysis of SpaceEx. We illustrate the practical potential of our approach in a case study for the navigation benchmark.