A testing scenario for probabilistic automata

  • Authors:
  • Mariëlle Stoelinga;Frits Vaandrager

  • Affiliations:
  • Dept. of Computer Engineering, University of California, Santa Cruz;Nijmegen Institute for Computing and Information Sciences, University of Nijmegen, The Netherlands

  • Venue:
  • ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
  • Year:
  • 2003

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Abstract

Recently, a large number of equivalences for probabilistic automata has been proposed in the literature. Except for the probabilistic bisimulation of Larsen & Skou, none of these equivalences has been characterized in terms of an intuitive testing scenario. In our view, this is an undesirable situation: in the end, the behavior of an automaton is what an external observer perceives. In this paper, we propose a simple and intuitive testing scenario for probabilistic automata and we prove that the equivalence induced by this scenario coincides with the trace distribution equivalence proposed by Segala.