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On the Parallel Complexity of Bisimulation on Finite Systems

Authors Moses Ganardi, Stefan Göller, Markus Lohrey

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Moses Ganardi
Stefan Göller
Markus Lohrey

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Moses Ganardi, Stefan Göller, and Markus Lohrey. On the Parallel Complexity of Bisimulation on Finite Systems. In 25th EACSL Annual Conference on Computer Science Logic (CSL 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 62, pp. 12:1-12:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.CSL.2016.12

Abstract

In this paper the computational complexity of the (bi)simulation problem over restricted graph classes is studied. For trees given as pointer structures or terms the (bi)simulation problem is complete for logarithmic space or NC^1, respectively. This solves an open problem from Balcázar, Gabarró, and Sántha. We also show that the simulation problem is P-complete even for graphs of bounded path-width.

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Keywords
  • bisimulation
  • computational complexity
  • tree width

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