P-Hardness of Equivalence Testing on Finite-State Processes

  • Authors:
  • Zdenek Sawa;Petr Jancar

  • Affiliations:
  • -;-

  • Venue:
  • SOFSEM '01 Proceedings of the 28th Conference on Current Trends in Theory and Practice of Informatics Piestany: Theory and Practice of Informatics
  • Year:
  • 2001

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Abstract

The paper shows a simple LOGSPACE-reduction from the boolean circuit value problem which demonstrates that, on finite labelled transition systems, deciding an arbitrary relation which subsumes bisimulation equivalence and is subsumed by trace preorder is a polynomial-time-hard problem (and thus can not be expected to be efficiently parallelizable). By this, the result of Balc谩zar, Gabarr贸 and S谩ntha (1992) for bisimilarity is substantially extended.