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Correction to “Synchronizing sequences on a class of unbounded systems using synchronized Petri nets”

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Abstract

The paper mentioned in the title proposed a new definition of increasing repetitive input sequences for synchronized Petri nets and stated that it can be used to construct a finite modified coverability graph for any unbounded SynPN. In this note, we discuss the notion of unboundedness for SynPNs and show via an example that actually the modified coverability graph may be infinite due the presence of increasing sequences that are not repetitive.

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Fig. 1
Fig. 2

Notes

  1. 1.

    Given two vectors M, \(M^{\prime }\in \mathbb {N}^{m}\), we write \(M\lneq M^{\prime }\) if each component of M is less than or equal to the corresponding one of \(M^{\prime }\) and \(M\neq M^{\prime }\).

  2. 2.

    By convention, an inhibitor arc is graphically represented by an arc connected to a transition by a small circle.

References

  1. Brams GW (1983) Petri nets: Theory and Practice (in French) Masson

  2. David R, Alla H (2005) Discrete, Continuous, and Hybrid Petri Nets, vol 1. Springer, Berlin

  3. Karp RM, Miller RE (1969) Parallel program schemata. J Comput Syst Sci 3(2):147–195

  4. Moalla M, Pulou J, Sifakis J (1978) Synchronized Petri nets: A model for the description of non-autonomous sytems. In: International Symposium on Mathematical Foundations of Computer Science, Springer, pp 374–384

  5. Pocci M, Demongodin I, Giambiasi N, Giua A (2016) Synchronizing sequences on a class of unbounded systems using synchronized Petri nets. Discrete Event Dyn Syst 26(1):85–108

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Author information

Correspondence to Changshun Wu.

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This work was supported by Region Sardinia, FSC 2014 – 2020, project RASSR05871 -MOSIMA.

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Wu, C., Demongodin, I. & Giua, A. Correction to “Synchronizing sequences on a class of unbounded systems using synchronized Petri nets”. Discrete Event Dyn Syst 29, 521–526 (2019) doi:10.1007/s10626-019-00295-9

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Keywords

  • Synchronized Petri nets
  • Unbounded nets
  • Coverability graph
  • Repetitive sequences