Syntax and Semantics of Petri Nets

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ID: 287872
2025
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Abstract
Petri nets are one of the most popular tools for modeling distributed systems. This book provides a modern look at the theory behind them, by studying three classes of nets that model (i) sequential systems, (ii) non-communicating parallel systems, and (iii) communicating parallel systems. A decidable and causality respecting behavioral equivalence is presented for each class, followed by a modal logic characterization for each equivalence. The author then introduces a suitable process algebra for the corresponding class of nets and proves that the behavioral equivalence proposed for each class is a congruence for the operator of the corresponding process algebra. Finally, an axiomatization of the behavioral congruence is proposed. The theory is introduced step by step, with ordinary-language explanations and examples provided throughout, to remain accessible to readers without specialized training in concurrency theory or formal logic. Exercises with solutions solidify understanding, and the final chapter hints at extensions of the theory.
Reference Key
persistent_1761420009_68fd22e9313bf Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Roberto Gorrieri
Journal ADVANCES IN ARCHAEOLOGICAL PRACTICE
Year 2025
DOI
10.1017/9781009613316
URL
Keywords Keywords not found

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