Normed BPA vs. Normed BPP Revisited

  • Authors:
  • Petr Janćar;Martin Kot;Zdeněk Sawa

  • Affiliations:
  • Center for Applied Cybernetics, Dept. of Computer Science, Technical University of Ostrava, Ostrava-Poruba, Czech Republic 70833;Center for Applied Cybernetics, Dept. of Computer Science, Technical University of Ostrava, Ostrava-Poruba, Czech Republic 70833;Center for Applied Cybernetics, Dept. of Computer Science, Technical University of Ostrava, Ostrava-Poruba, Czech Republic 70833

  • Venue:
  • CONCUR '08 Proceedings of the 19th international conference on Concurrency Theory
  • Year:
  • 2008

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Abstract

We present a polynomial-time algorithm deciding bisimilarity between a normed BPA process and a normed BPP process. This improves the previously known exponential upper bound by Černá, Křetínský, Ku茂戮驴era (1999). The algorithm relies on a polynomial bound for the "finite-state core" of the transition system generated by the BPP process. The bound is derived from the "prime form" of the underlying BPP system (where bisimilarity coincides with equality); we suggest an original algorithm for the respective transformation.