Bisimilarity of one-counter processes is PSPACE-complete

  • Authors:
  • Stanislav Böhm;Stefan Göller;Petr Jančar

  • Affiliations:
  • Techn. Univ. Ostrava, Dept of Computer Science, Czech Republic;Universität Bremen, Institut für Informatik, Germany;Techn. Univ. Ostrava, Dept of Computer Science, Czech Republic

  • Venue:
  • CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
  • Year:
  • 2010

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Abstract

A one-counter automaton is a pushdown automaton over a singleton stack alphabet. We prove that the bisimilarity of processes generated by nondeterministic one-counter automata (with no ε-steps) is in PSPACE. This improves the previously known decidability result (Jančar 2000), and matches the known PSPACE lower bound (Srba 2009). We add the PTIME-completeness result for deciding regularity (i.e. finiteness up to bisimilarity) of one-counter processes.