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Equivalence transformations of PrT-Nets

  • Hartmann J. Genrich
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 424)

Abstract

There is a net theoretical system model called Predicate Transition Nets (PrT-Nets) that describes distributed systems as first-order dynamic structures. A single PrT-net can present a whole family of related systems in the same way as a set of logical formulae may describe a whole family of (static) systems — the class of its set-theoretical models.

In this note two PrT-nets are called equivalent if they describe the same family of systems. A list of formal transformations (re-writing rules) for PrT-nets that are consistent with equivalence is presented. For a non-trivial subclass of PrT-nets this set of rules is shown to characterize equivalence; it is also complete.

Key Words

Higher-level Petri nets predicate transition nets semantical equivalence rewriting rules 

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References

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    Genrich, H.J.; Lautenbach, K.: System Modelling with High-Level Petri Nets. Theoretical Computer Science 13 (1981) 109–136Google Scholar
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    Genrich, H.J.: Projections of CE Systems. In: Advances in Petri Nets 1985, Lecture Notes in Computer Science 222. Springer 1986Google Scholar
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    Genrich, H.J.: Predicate/Transition Nets. In [2]Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Hartmann J. Genrich
    • 1
  1. 1.Institut für Methodische Grundlagen Gesellschaft für Mathematik und DatenverarbeitungSt. Augustin 1Fed. Rep. Germany

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