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Bisimulation equivalence is decidable for all context-free processes

  • Søren Christensen
  • Hans Hüttel
  • Colin Stirling
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 630)

Abstract

We have shown that bisimulation equivalence is decidable for BPA. As the proof involves two semi-decision procedures it is not obvious how to determine the complexity of solving this problem. Moreover it does not provide us with an intuitive technique for deciding bisimilarity as does the tableau method in [14, 13] which also has the advantage of providing us with a way of extracting a complete axiomatization for normed BPA processes. A similar result for full BPA would be a proper extension of Milner's axiom system for regular processes [16].

More generally this work addresses the area of infinite-state processes. Besides deciding equivalences there is also the question of model checking: a recent result

Of more interest to concurrency theory are process languages with parallel combinators. Although bisimulation equivalence is undecidable for ACP, CCS, and CSP it is unclear if this must be true of all parallel models with full Turing power (especially those that lack abstraction mechanisms). Moreover there may be finer useful equivalences which permit general decidability results: for instance in [8] it is shown that distributed bisimulation equivalence is decidable for a recursive fragment of CCS with parallel.

Keywords

Model Check Transition Graph Sequential Composition Behavioural Equivalence Complete Axiomatization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Søren Christensen
    • 1
  • Hans Hüttel
    • 2
  • Colin Stirling
    • 1
  1. 1.Laboratory for Foundations of Computer ScienceUniversity of EdinburghEdinburghScotland
  2. 2.Department of Mathematics and Computer ScienceAalborg University CentreAalborg ØDenmark

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