Undecidability of 2-label BPP equivalences and behavioral type systems for the π-calculus

  • Authors:
  • Naoki Kobayashi;Takashi Suto

  • Affiliations:
  • Tohoku University;Tohoku University

  • Venue:
  • ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
  • Year:
  • 2007

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Abstract

The trace equivalence of BPP was shown to be undecidable by Hirshfeld. We show that the trace equivalence remains undecidable even if the number of labels is restricted to two. The undecidability result holds also for the simulation of two-label BPP processes. These results imply undecidability of some behavioral type systems for the π-calculus.