This paper presents efficient, specialised synthesis and reengineering algorithms for the case that a transition system is finite, persistent and reversible. It also shows by means of a complex example that structural properties of the synthesised Petri nets may not necessarily be entailed.


Cyclic Behaviour Persistency Labelled Transition Systems Parikh Vectors Petri Nets Region Theory System Synthesis Reengineering 


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  1. 1.
    Badouel, É., Bernardinello, L., Darondeau, P.: Petri Net Synthesis, 330 pages. Springer (in preparation, 2014)Google Scholar
  2. 2.
    Badouel, É., Bernardinello, L., Darondeau, P.: Polynomial Algorithms for the Synthesis of Bounded Nets. In: Mosses, P.D., Nielsen, M., Schwartzbach, M.I. (eds.) TAPSOFT 1995. LNCS, vol. 915, pp. 364–378. Springer, Heidelberg (1995)CrossRefGoogle Scholar
  3. 3.
    Badouel, É.: Theory of Regions. In: Reisig, W., Rozenberg, G. (eds.) APN 1998. LNCS, vol. 1491, pp. 529–586. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  4. 4.
    Best, E., Darondeau, P.: A Decomposition Theorem for Finite Persistent Transition Systems. Acta Informatica 46, 237–254 (2009)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Best, E., Darondeau, P.: Petri Net Distributability. In: Clarke, E., Virbitskaite, I., Voronkov, A. (eds.) PSI 2011. LNCS, vol. 7162, pp. 1–18. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  6. 6.
    Best, E., Devillers, R.: Solving LTS with Parikh-unique Cycles. TR 2/14, Dep. Informatik, Carl von Ossietzky Universität Oldenburg, 80 pages (February 2014)Google Scholar
  7. 7.
    Best, E., Devillers, R.: Characterisation of the State Spaces of Live and Bounded Marked Graph Petri Nets. In: Dediu, A.-H., Martín-Vide, C., Sierra-Rodríguez, J.-L., Truthe, B. (eds.) LATA 2014. LNCS, vol. 8370, pp. 161–172. Springer, Heidelberg (2014)CrossRefGoogle Scholar
  8. 8.
  9. 9.
    Devillers, R.: plain.c, pure.c, frag.c: Specially tailored programs written in C++ Google Scholar
  10. 10.
    Hack, M.: Analysis of production schemata by Petri nets, M.S. thesis, D.E.E. MIT. Cambridge Mass. Project MAC-TR 94 (1972)Google Scholar
  11. 11.
    Keller, R.M.: A Fundamental Theorem of Asynchronous Parallel Computation. In: Tse-Yun, F. (ed.) Parallel Processing. LNCS, vol. 24, pp. 102–112. Springer, Heidelberg (1975)CrossRefGoogle Scholar
  12. 12.
    Kondratyev, A., Cortadella, J., Kishinevsky, M., Pastor, E., Roig, O., Yakovlev, A.: Checking Signal Transition Graph Implementability by Symbolic BDD Traversal. In: Proc. European Design and Test Conference, Paris, France, pp. 325–332 (1995)Google Scholar
  13. 13.
    Lamport, L.: Arbiter-Free Synchronization. Distributed Computing 16(2/3), 219–237 (2003)CrossRefGoogle Scholar
  14. 14.
    Landweber, L.H., Robertson, E.L.: Properties of Conflict-Free and Persistent Petri Nets. J. ACM 25(3), 352–364 (1978)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Schlachter, U., et al.:
  16. 16.
    Teruel, E., Colom, J.M., Silva, M.: Choice-Free Petri nets: a model for deterministic concurrent systems with bulk services and arrivals. IEEE Transactions on Systems, Man and Cybernetics, Part A, 73–83 (1997)CrossRefGoogle Scholar
  17. 17.
    Ville, J.: Sur la théorie générale des jeux où intervient l’habileté des joueurs. In: Borel, E. (ed.) Traité du calcul des probabilités et de ses applications, vol. 4, pp. 105–113. Gauthiers-Villars (1938)Google Scholar
  18. 18.
    Yakovlev, A.: Designing control logic for counterflow pipeline processor using Petri nets. Formal Methods in Systems Design 12(1), 39–71 (1998)CrossRefGoogle Scholar
  19. 19.
    Yakovlev, A.: Theory and practice of using models of concurrency in hardware design. DSc Thesis, University of Newcastle upon Tyne (August 2005)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Eike Best
    • 1
  • Raymond Devillers
    • 2
  1. 1.Department of Computing ScienceCarl von Ossietzky Universität OldenburgGermany
  2. 2.Département d’InformatiqueUniversité Libre de BruxellesBelgium

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