Deciding true concurrency equivalences on safe, finite nets

We show that the pomset-trace equivalence problem for 1-safe, finite Petri nets is decidable; in fact it is complete for expspace. We also show that history-preserving bisimulation between such nets is complete for dexptime. Our methods also yield tight complexity bounds for several other “true conc...

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Veröffentlicht in:Theoretical computer science 1996-01, Vol.154 (1), p.107-143
Hauptverfasser: Jategaonkar, Lalita, Meyer, Albert R.
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that the pomset-trace equivalence problem for 1-safe, finite Petri nets is decidable; in fact it is complete for expspace. We also show that history-preserving bisimulation between such nets is complete for dexptime. Our methods also yield tight complexity bounds for several other “true concurrency” and interleaving equivalences. The results are independent of the presence of hidden transitions.
ISSN:0304-3975
1879-2294
DOI:10.1016/0304-3975(95)00132-8