Two Lower Bounds for BPA

Authors Mingzhang Huang, Qiang Yin



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Mingzhang Huang
Qiang Yin

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Mingzhang Huang and Qiang Yin. Two Lower Bounds for BPA. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 20:1-20:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
https://doi.org/10.4230/LIPIcs.CONCUR.2017.20

Abstract

Branching bisimilarity of normed Basic Process Algebra (nBPA) was claimed to be EXPTIME-hard in previous papers without any explicit proof. Recently it has been pointed out by Petr Jancar that the claim lacked proper justification. In this paper, we develop a new complete proof for the EXPTIME-hardness of branching bisimilarity of nBPA. We also prove that the associated regularity problem of nBPA is PSPACE-hard. This improves previous P-hard result.
Keywords
  • BPA
  • branching bisimulation
  • regularity

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