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Closure properties of deterministic Petri nets

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STACS 87 (STACS 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 247))

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Abstract

Deterministic Petri nets, as introduced in Vidal-Naquet's thesis [V] are studied here. We investigate systematically their closure properties under the standard language theoretical operations and prove in particular that the complement of a lan-guage of a deterministic net is always the language of a Petri net — which improves on both sides Hack's result on the complementation closure of free Petri net languages [H] —.

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References

  1. H. CARSTENSEN: "Fairness bei nebenläufigen Systemen", doctoral thesis, Universität Hamburg, september 1986

    Google Scholar 

  2. M. HACK: "Petri net languages", Comp. Struct. Group Memo 124, Project MAC, MIT, Cambridge MASS., 1975

    Google Scholar 

  3. E. PELZ: "ω-languages of Petri nets and logical sentences", proceedings of the 7th european workshop on Petri nets, Oxford, 1986

    Google Scholar 

  4. M. PARIGOT, E. PELZ: "A logical formalism for the study of finite behaviour of Petri nets", in Advances in Petri nets 1985, ed. by G. Rozenberg, Springer-Verlag, 1986

    Google Scholar 

  5. J.L. PETERSON, "Petri net theory and the modeling of systems", Prentice-Hall, Englewood Cliffs, NJ, 1981

    Google Scholar 

  6. G. ROZENBERG, R. VERRAEDT, "Subset languages of Petri nets, Part II: Closure properties", TCS 27, pp 85–108, North-Holland, 1983

    Google Scholar 

  7. G. VIDAL-NAQUET, "Deterministic Languages for Petri nets", in the proceedings of of the first european workshop on Petri nets, Strasbourg, 1980, also in Application and theory of Petri Nets, ed. by C. Girault and W. Reisig, Informatik Fachberichte 52, Springer-Verlag, 1982. This article summarizes the 5th section of his thesis: G. VIDAL-NAQUET, "Rationalité et déterminisme dans les réseaux de Petri", thèse d'Etat, Université Pierre et Marie Curie, Paris, 1981

    Google Scholar 

  8. G. VIDAL-NAQUET, personal communication, 1986

    Google Scholar 

  9. M. YOELI, T. ETZION, "Behavioral equivalence of concurrent systems", in the proceedings of the third european workshop on Petri nets, Varenna, 1982

    Google Scholar 

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Franz J. Brandenburg Guy Vidal-Naquet Martin Wirsing

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© 1987 Springer-Verlag Berlin Heidelberg

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Pelz, E. (1987). Closure properties of deterministic Petri nets. In: Brandenburg, F.J., Vidal-Naquet, G., Wirsing, M. (eds) STACS 87. STACS 1987. Lecture Notes in Computer Science, vol 247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039620

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  • DOI: https://doi.org/10.1007/BFb0039620

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17219-2

  • Online ISBN: 978-3-540-47419-7

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