On the Complexity of Bisimulation Problems for Basic Parallel Processes

@inproceedings{Mayr2000OnTC,
  title={On the Complexity of Bisimulation Problems for Basic Parallel Processes},
  author={Richard Mayr},
  booktitle={ICALP},
  year={2000}
}
  • R. Mayr
  • Published in ICALP 9 July 2000
  • Computer Science
Strong bisimilarity of Basic Parallel Processes (BPP) is decidable, but the best known algorithm has non-elementary complexity [7]. On the other hand, no lower bound for the problem was known. We show that strong bisimilarity of BPP is co-NP-hard. Weak bisimilarity of BPP is not known to be decidable, but an NP lower bound has been shown in [31]. We improve this result by showing that weak bisimilarity of BPP is Π2p-hard. Finally, we show that the problems if a BPP is regular (i.e… 

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