High undecidability of weak bisimilarity for Petri nets

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Jancar, P
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TP31 [计算机软件];
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081202 ; 0835 ;
摘要
It is shown that the problem whether two labelled place/transition Petri nets (with initial markings) are weakly bisimilar is highly undecidable - it resides at least at level omega of the hyperarithmetical hierarchy; on the other hand it belongs to Sigma(1)(1) (the first level of the analytical hierarchy). It contrasts with Pi(1)(0)-completeness of the same problem for trace (language) equivalence. Relations to similar problems for the process algebra BPP (Basic Parallel Processes) are also discussed.
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页码:349 / 363
页数:15
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