Behavioural Equivalences on Finite-State Systems are PTIME-hard

Authors

  • Zdeněk Sawa
  • Petr Jančar

Keywords:

Verification, finite transition systems, bisimulation equivalence, trace equivalence, computational complexity, PTIME-hardness

Abstract

The paper shows a LOGSPACE-reduction from the Boolean circuit value problem which demonstrates that any relation subsuming bisimilarity and being subsumed by trace preorder (ie, language inclusion) is PTIME-hard, even for finite acyclic labelled transition systems. This reproves and substantially extends the result of Balcazar, Gabarro and Santha (1992) for bisimilarity.

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Published

2012-02-06

How to Cite

Sawa, Z., & Jančar, P. (2012). Behavioural Equivalences on Finite-State Systems are PTIME-hard. Computing and Informatics, 24(5), 513–528. Retrieved from https://www.cai.sk/ojs/index.php/cai/article/view/397