Petri nets, commutative context-free grammars, and basic parallel processes

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Abstract

The paper provides a structural characterisation of the reachable markings of Petri nets in which every transition has exactly one input place. As a corollary, the reachability problem for this class is proved to be NP-complete. Further consequences are: the uniform word problem for commutative context-free grammars is NP-complete; weak-bisimilarity is semidecidable for Basic Parallel Processes.

Original languageEnglish
Pages (from-to)13-25
Number of pages13
JournalFundamenta Informaticae
Volume31
Issue number1
DOIs
StatePublished - Jul 1997

Keywords

  • Basic Parallel Processes
  • Commutative Context-free Grammars
  • Petri nets
  • Weak bisimilarity

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