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A Decidable Equivalence for a Turing-Complete, Distributed Model of Computation

Authors Arnaldo Cesco , Roberto Gorrieri

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Arnaldo Cesco
  • Department of Computer Science and Engineering, University of Bologna, Italy
Roberto Gorrieri
  • Department of Computer Science and Engineering, University of Bologna, Italy

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Arnaldo Cesco and Roberto Gorrieri. A Decidable Equivalence for a Turing-Complete, Distributed Model of Computation. In 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 202, pp. 28:1-28:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)
https://doi.org/10.4230/LIPIcs.MFCS.2021.28

Abstract

Place/Transition Petri nets with inhibitor arcs (PTI nets for short), which are a well-known Turing-complete, distributed model of computation, are equipped with a decidable, behavioral equivalence, called pti-place bisimilarity, that conservatively extends place bisimilarity defined over Place/Transition nets (without inhibitor arcs). We prove that pti-place bisimilarity is sensible, as it respects the causal semantics of PTI nets.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed computing models
Keywords
  • Petri nets
  • Inhibitor arc
  • Behavioral equivalence
  • Bisimulation
  • Decidability

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