Reasoning about Algebraic Generalisation of Petri Nets

  • Gabriel Juhás
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1639)


In this paper we study properties of an abstract and (as we hope) a uniform frame for Petri net models, which enables us to generalise algebra as well as enabling rule of Petri nets. Our approach of such a frame is based on using partial groupoids in Petri nets. Properties of Petri nets constructed in this manner are investigated through related labelled transition systems. In particular, we investigate the relationships between properties of partial groupoids used in Petri nets and properties of transition systems crucial for the existence of the state equation and linear algebraic techniques. We show that partial groupoids embeddable into Abelian groups play an important role in preserving these properties.


Abelian Group Transition System Label Transition System Partial Algebra Commutative Monoid 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Gabriel Juhás
    • 1
  1. 1.Technical University of BerlinBerlinGermany

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