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Unbounded Petri Net Synthesis

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Lectures on Concurrency and Petri Nets (ACPN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3098))

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Abstract

We address the problem of deciding uniformly for graphs or languages of a given class whether they are generated by unlabelled Place-Transition nets whose sets of reachable markings may be infinite.

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References

  1. Alur, R., Yannakakis, M.: Model Checking of Message Sequence Charts. In: Baeten, J.C.M., Mauw, S. (eds.) CONCUR 1999. LNCS, vol. 1664, pp. 114–129. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  2. Badouel, E., Bernardinello, L., Darondeau, P.: Polynomial Algorithms for the Synthesis of Bounded Nets. In: Mosses, P.D., Schwartzbach, M.I., Nielsen, M. (eds.) CAAP 1995, FASE 1995, and TAPSOFT 1995. LNCS, vol. 915, pp. 647–679. Springer, Heidelberg (1995)

    Google Scholar 

  3. Badouel, E., Bernardinello, L., Darondeau, P.: The Synthesis Problem for Elementary Net Systems is NP-complete. Theoretical Computer Science 186, 107–134 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  4. Badouel, E., Caillaud, B., Darondeau, P.: Distributing finite automata through Petri net synthesis. Formal Aspects of Computing 13, 447–470 (2002)

    Article  MATH  Google Scholar 

  5. Badouel, E.: Darondeau, P.: On the Synthesis of General Petri Nets. Inria Research Report 3025 (1996)

    Google Scholar 

  6. Badouel, E., Darondeau, P.: Theory of regions. In: Reisig, W., Rozenberg, G. (eds.) APN 1998. LNCS, vol. 1491, pp. 529–586. Springer, Heidelberg (1998)

    Google Scholar 

  7. Badouel, E.: Darondeau, P.: The Synthesis of Petri Nets from Path-Automatic Specifications, draft (2003) (submitted)

    Google Scholar 

  8. Bednarczyk, M., Borzyszkowski, A.: On Concurrent Realization of Reactive Systems and their Morphisms. In: Ehrig, H., Juhás, G., Padberg, J., Rozenberg, G. (eds.) APN 2001. LNCS, vol. 2128, pp. 346–379. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Bernardinello, L., De Michelis, G., Petruni, K., Vigna, S.: On the Synchronic Sructure of Transition Systems. In: Desel, J. (ed.) Structures in Concurrency Theory, Workshops on Computing, pp. 11–31. Springer, Heidelberg (1996)

    Google Scholar 

  10. Berstel, J.: Transductions and Context-Free Languages. Teubner Verlag, Stuttgart (1979)

    MATH  Google Scholar 

  11. Bernardinello, L.: Synthesis of Net Systems. In: Ajmone Marsan, M. (ed.) ICATPN 1993. LNCS, vol. 691, pp. 11–31. Springer, Heidelberg (1993)

    Google Scholar 

  12. Bernardinello, L., Ferrigato, C., Pomello, L.: An Algebraic Model of Observable Properties in Distributed Systems. Theoretical Computer Science 290, 637–678 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  13. Bracho, F., Droste, M.: Labelled Domains and Automata with Concurrency Relations. Theoretical Computer Science 135(2), 289–318 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  14. Caillaud, B., Darondeau, P., Helouet, L., Lesventes, G.: HMSCs as partial specifications.. with pNs as completions. In: Cassez, F., Jard, C., Rozoy, B., Dermot, M. (eds.) MOVEP 2000. LNCS, vol. 2067, pp. 125–152. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  15. Chernikova, N.: Algorithm for finding a general formula for the non-negative solutions of a system of linear inequalities. USSR Computational Mathematics and Mathematical Physics 5(2), 228–233 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  16. Cortadella, J., Kishinevsky, M., Kondratyev, A., Lavagno, L., Yakovlev, A.: Hardware and Petri Nets: Application to Asynchronous Circuit Design. In: Nielsen, M., Simpson, D. (eds.) ICATPN 2000. LNCS, vol. 1825, pp. 1–15. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  17. Cortadella, J., Kishinevsky, M., Lavagno, L., Yakovlev, A.: Deriving Petri Nets from Finite Transition Systems. IEEE Transactions on Computers 47(8), 859–882 (1998)

    Article  MathSciNet  Google Scholar 

  18. Darondeau, P.: Deriving Petri Nets from Formal Languages. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 533–548. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  19. Darondeau, P.: On the Petri net realization of context-free graphs. Theoretical Computer Science 258, 573–598 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  20. Desel, J., Reisig, W.: The Synthesis Problem of Petri Nets. Acta Informatica 33, 297–315 (1996)

    Article  MathSciNet  Google Scholar 

  21. Droste, M., Shortt, R.M.: Petri Nets and Automata with Concurrency Relations - an Adjunction. In: Droste, M., Gurevich, Y. (eds.) Semantics of Programming Languages and Model Theory, pp. 69–87 (1993)

    Google Scholar 

  22. Ehrenfeucht, A., Rozenberg, G.: Partial (Set) 2-Structures; Part I: Basic Notions and the Representation Problem. Acta Informatica 27, 315–342 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  23. Ehrenfeucht, A., Rozenberg, G.: Partial (Set) 2-Structures; Part II: State Spaces of Concurrent Systems. Acta Informatica 27, 343–368 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  24. Esparza, J.: Decidability of model-checking for infinite-state concurrent systems. Acta Informatica 34(2), 85–107 (1997)

    Article  MathSciNet  Google Scholar 

  25. Fernau, H.: Parallel Communicating Grammar Systems with Terminal Transmission. Acta Informatica 37, 511–540 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  26. Fischer, P.C., Rosenberg, A.L.: Multitape One-Way Nonwriting Automata. Journal of Computer and System Sciences 2, 88–101 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  27. Ghaffari, A., Rezg, N., Xie, X.: Live and Maximally Permissive Controller Synthesis using Theory of Regions. In: Caillaud, B., Darondeau, P., Lavagno, L., Xie, X. (eds.) Synthesis and Control of Discrete Event Systems. Kluwer Academic Publishers, Dordrecht (2002)

    Google Scholar 

  28. Ginsburg, S., Spanier, E.H.: Bounded Algol-like Languages. Transactions of the American Mathematical Society, 333–368 (1964)

    Google Scholar 

  29. Ginsburg, S., Spanier, E.H.: Semigroups, Presburger formulas, and Languages. Pacific Journal of Mathematics 16, 285–296 (1966)

    MATH  MathSciNet  Google Scholar 

  30. Ginsburg, S., Spanier, E.H.: AFL with the Semilinear Property. Journal of Computer and System Sciences 5, 365–396 (1971)

    Article  MATH  MathSciNet  Google Scholar 

  31. Harrisson, M.A.: Introduction to Formal Language Theory. Addison-Wesley, Reading (1978)

    Google Scholar 

  32. Holzer, M., Kutrib, M.: Flip-Pushdown Automata: k+1 Pushdown Reversals are Better than k. IFIG Research Report 0206, Universitaet Giessen (2002)

    Google Scholar 

  33. Hoogers, P.W., Kleijn, H.C.M., Thiagarajan, P.S.: A Trace Semantics for Petri Nets. In: Kuich, W. (ed.) ICALP 1992. LNCS, vol. 623, pp. 595–604. Springer, Heidelberg (1992)

    Google Scholar 

  34. Hopcroft, J., Ullman, J.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)

    MATH  Google Scholar 

  35. Ibarra, O.: Simple Matrix Languages. Information and Control 17, 359–394 (1970)

    Article  MATH  MathSciNet  Google Scholar 

  36. Mayr, E.: An Algorithm for the General Petri Net Reachability Problem. SIAM Journal on Computing 13, 441–460 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  37. Mukund, M.: Petri Nets and Step Transition Systems. International Journal of Foundations of Computer Science 3(4), 443–478 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  38. Nielsen, M., Rozenberg, G., Thiagarajan, P.S.: Elementary Transition Systems. Theoretical Computer Science 96(1), 3–33 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  39. Pelz, E.: Closure Properties of Deterministic Petri Nets. In: Brandenburg, F.J., Wirsing, M., Vidal-Naquet, G. (eds.) STACS 1987. LNCS, vol. 247, pp. 373–382. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  40. Ramadge, P.J., Wonham, W.M.: Supervisory Control of a Class of Discrete Event Processes. SIAM Journal of Control and Optimization 25(1), 206–230 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  41. Schrijver, A.: Theory of Linear and Integer Programming. John Wiley, Chichester (1986)

    MATH  Google Scholar 

  42. Sénizergues, G.: Definability in weak monadic second order logic of some infinite graphs. Dagstuhl seminar on Automata theory: Infinite computations, Wadern 28, 16 (1992)

    Google Scholar 

  43. Sénizergues, G.: unpublished work communicated to the author

    Google Scholar 

  44. Vogler, W.: Concurrent Realization of Asynchronous Transition Systems. In: Donatelli, S., Kleijn, J. (eds.) ICATPN 1999. LNCS, vol. 1639, pp. 284–303. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. IRISA, campus de Beaulieu, F35042, Rennes Cedex, France

    Philippe Darondeau

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  1. Philippe Darondeau
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Editors and Affiliations

  1. Department of Applied Computer Science, Catholic University of Eichstätt-Ingolstadt,  

    Jörg Desel

  2. Institut für Informatik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Wolfgang Reisig

  3. , Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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Darondeau, P. (2004). Unbounded Petri Net Synthesis. In: Desel, J., Reisig, W., Rozenberg, G. (eds) Lectures on Concurrency and Petri Nets. ACPN 2003. Lecture Notes in Computer Science, vol 3098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27755-2_11

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  • DOI: https://doi.org/10.1007/978-3-540-27755-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22261-3

  • Online ISBN: 978-3-540-27755-2

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