Language equivalence of deterministic real-time one-counter automata is NL-complete

  • Authors:
  • Stanislav Böhm;Stefan Göller

  • Affiliations:
  • Technical University of Ostrava, Department of Computer Science, Czech Republic;Universität Bremen, Institut für Informatik, Germany

  • Venue:
  • MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

We prove that deciding language equivalence of deterministic realtime one-counter automata is NL-complete, in stark contrast to the inclusion problem which is known to be undecidable. This yields a subclass of deterministic pushdown automata for which the precise complexity of the equivalence problem can be determined. Moreover, we show that deciding regularity is NL-complete as well.