Testing probabilistic equivalence through reinforcement learning

  • Authors:
  • Josée Desharnais;François Laviolette;Sami Zhioua

  • Affiliations:
  • IFT-GLO, Université Laval, Québec, (QC), Canada;IFT-GLO, Université Laval, Québec, (QC), Canada;IFT-GLO, Université Laval, Québec, (QC), Canada

  • Venue:
  • FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2006

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Abstract

We propose a new approach to verification of probabilistic processes for which the model may not be available. We use a technique from Reinforcement Learning to approximate how far apart two processes are by solving a Markov Decision Process. If two processes are equivalent, the algorithm will return zero, otherwise it will provide a number and a test that witness the non equivalence. We suggest a new family of equivalences, called K-moment, for which it is possible to do so. The weakest, 1-moment equivalence, is trace-equivalence. The others are weaker than bisimulation but stronger than trace-equivalence.