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On the Relationship between π-Calculus and Finite Place/Transition Petri Nets

  • Roland Meyer
  • Roberto Gorrieri
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5710)

Abstract

We clarify the relationship between π-calculus and finite p/t Petri nets. The first insight is that the concurrency view to processes taken in [Eng96, AM02, BG09] and the structural view in [Mey09] are orthogonal. This allows us to define a new concurrency p/t net semantics that can be combined with the structural semantics in [Mey09]. The result is a more expressive mixed semantics, which translates precisely the so-called mixed-bounded processes into finite p/t nets. Technically, the translation relies on typing of restricted names. As second main result we show that mixed-bounded processes form the borderline to finite p/t nets. For processes just beyond this class reachability becomes undecidable and so no faithful translation into finite p/t nets exists.

Keywords

Parallel Composition Structural Semantic Restricted Form Counter Machine Process Place 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Roland Meyer
    • 1
  • Roberto Gorrieri
    • 2
  1. 1.LIAFAParis Diderot University & CNRSFrance
  2. 2.Department of Computing ScienceUniversity of BolognaItaly

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