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Studying the Behaviour of Petri Nets through a Formalization as Term Rewriting Systems

  • Alberto Paccanaro

Abstract

Some elementary concepts on Equational Theories and Rewriting Systems are introduced, followed by a brief review on the main ideas of the Knuth-Bendix completion procedure. Then a formalization of Petri Nets as Term Rewriting Systems is proposed, which allows the use of rewriting techniques for studying the behaviour of general deterministic Petri Nets. Particularly the simplification of Term Rewriting Systems obtained formalizing Petri Nets proves to be a powerful method to obtain an efficient system for detecting deadlock situations.

Experiments have been carried out using KBLab, an Automated Theorem Prover for equational theories based on the Knuth-Bendix algorithm.

Keywords

Word Problem Theorem Prove Function Symbol Equational Theory Critical Pair 
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 Science+Business Media New York 1994

Authors and Affiliations

  • Alberto Paccanaro
    • 2
    • 1
  1. 1.Laboratorio de Electrónica DigitalUniversidad Católica “Nuestra Señora de la Asunción”AsunciónParaguay
  2. 2.Dipartimento di Scienze dell’InformazioneUniversità degli Studi di MilanoMilanoItaly

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