Skip to main content

Top-down synthesis of live and bounded free choice nets

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 524))

Abstract

The paper provides a set of rules for the stepwise synthesis of all and only live and bounded Free Choice nets. The starting point are nets composed by a circuit containing one place and one transition.

This work was performed when this author was a member of the Dpt. Ing. Eléctrica e Informática, Universidad de Zaragoza.

This work was partially supported by the DEMON Esprit Basic Research Action 3148

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BERTHELOT, G.: Transformations et analyse de Réseaux de Petri. Application aux protocols, Thése d'Etat, Université P. et M. Curie (October 1983).

    Google Scholar 

  2. BERTHELOT, G.: Transformations and Decompositons of Nets, in: Petri Nets: Central Models and their Properties, Brauer, Reisig, Rozenberg eds., LNCS 254, Springer, pp. 359–376 (1987)

    Google Scholar 

  3. BEST, E.: Structure Theory of Petri Nets: The Free Choice Hiatus, in: Petri Nets: Central Models and their Properties, Brauer, Reisig, Rozenberg eds., LNCS 254, Springer, pp. 167–205 (1987)

    Google Scholar 

  4. BEST, E.; THIAGARAJAN, P.S.: Some classes of live and safe Petri Nets, in: Concurrency and nets, Voss, Genrich, Rozenberg eds., Springer, pp. 71–94(1987).

    Google Scholar 

  5. COLOM, J.M.; SILVA, M.: Improving the linearly based Characterization of P/T nets, 10th International Conference on Application and Theory of Petri Nets, Bad Godesberg (June 1989).

    Google Scholar 

  6. DESEL, J.: Reduction and Design of Well-behaved Concurrent Systems, in: CONCUR'90, Baeten, Klop eds., LNCS 458, Springer, pp. 166–181 (1990)

    Google Scholar 

  7. ESPARZA, J.; SILVA, M.: Circuits, handles, bridges and nets, 10th International Conference on Application and Theory of Petri Nets, Bad Godesberg (June 1989).

    Google Scholar 

  8. ESPARZA, J.: Structure theory of Free Choice nets. Ph. D. Thesis. University of Zaragoza (June 1990).

    Google Scholar 

  9. GENRICH, H.J.; THIAGARAJAN, P.S.: A theory of bipolar synchronisation schemes, Theoretical Computer Science, vol. 30, pp. 241–318 (1984).

    Google Scholar 

  10. HACK, M.H.T.: Analysis of production schemata by Petri Nets. TR-94. MIT. Boston (1972). Corrected June 1974.

    Google Scholar 

  11. JONES, N.; LANDWEBER, L.; LIEN, Y.: Complexity of some problems in Petri Nets, Theoretical Computer Science, vol. 4, pp. 277–299 (1977).

    Google Scholar 

  12. KOVALYOV, A.V.: On Complete Reducibility of Some Classes of Petri Nets, 12th International Conference on Application and Theory of Petri Nets, Paris (June 1989). See also this volume.

    Google Scholar 

  13. MEMMI, G.; ROUCAIROL, G.: Linear Algebra in Net Theory, in: Net Theory and Applications, Proc. of the first Advanced Course on General Net Theory of Systems and Processes, Brauer ed., LNCS 84, Springer, pp. 213–223 (1980).

    Google Scholar 

  14. SILVA, M.: Sur le concept de macroplace et son utilisation pour lánalyse des réseaux de Petri, R.A.I.R.O., vol. 15, no 4, pp. 335–345 (1981).

    Google Scholar 

  15. SUZUKI, I.; MURATA, T.: A method for Stepwise Refinements and Abstractions of Petri Nets, Journal of Computer and System Science, vol. 27, no 1, pp. 51–76 (1983).

    Google Scholar 

  16. THIAGARAJAN, P.S.; VOSS, K.: A Fresh Look at Free Choice Nets, Information and Control, vol. 61, no 2, pp. 85–113 (1984).

    Google Scholar 

  17. VALETTE, R.: Analysis of Petri nets by stepwise refinements, Journal of Computer and System Science, vol. 18, pp. 35–46 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Grzegorz Rozenberg

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Esparza, J., Silva, M. (1991). Top-down synthesis of live and bounded free choice nets. In: Rozenberg, G. (eds) Advances in Petri Nets 1991. ICATPN 1990. Lecture Notes in Computer Science, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0019972

Download citation

  • DOI: https://doi.org/10.1007/BFb0019972

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54398-5

  • Online ISBN: 978-3-540-47600-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics