How distributed algorithms play the token game

  • Jörg Desel
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1337)


We argue that high-level Petri nets are an appropriate technique for the formulation of distributed algorithms. To this end, we introduce sufficient conditions for a faithful modeling of message-passing algorithms and of shared-memory algorithms.


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  1. [AhUl92]
    A.V. Aho and J.D. Ullmann. Foundations of Computer Science. Computer Science Press (1992)Google Scholar
  2. [BaGo91]
    F.L. Bauer and G. Goos. Informatik — eine einführende übersicht. 4. Auflage, Springer-Verlag (1991)Google Scholar
  3. [Best82]
    E. Best. Representing a Program Invariant as a Linear Invariant in a Petri Net. Bulletin of the EATCS 17, 2–11 (1982)Google Scholar
  4. [Best96]
    E. Best. Semantics of Sequential and Parallel Programs. Prentice Hall International Series in Computer Science. Prentice Hall (1996)Google Scholar
  5. [BFFH95]
    E. Best, H. Fleischhack, W. Fraczak, R.P. Hopkins. H. Klaudel and E. Pelz. An M-net Semantics of B(PN)2. Structures in Concurrency Theory, Berlin 1995 (J. Desel, ed.), Workshops in Computing, Springer-Verlag, 85–100 (1995)Google Scholar
  6. [Brau84]
    W. Brauer. How to Play the Token Game. Petri Net Newsletter 16, Gesellschaft für Informatik, 3–13 (1984)Google Scholar
  7. [BrRR87]
    W. Brauer, W. Reisig and G. Rozenberg (ed.). Petri Nets: Central Models and Their Properties. LNCS 254. Springer-Verlag (1987)Google Scholar
  8. [DeKi97]
    J. Desel and E. Kindler. Proving Correctness of Distributed Algorithms — A Petri Net Approach. Forschungsbericht 348 des Institutes AIFB der Universität KarlsruheGoogle Scholar
  9. [DeRW90]
    J. Desel, W. Reisig and R. Walter. The Alternating Bit Protocol — Fairness Versus Priority. Petri Net Newsletter 35, Gesellschaft für Informatik, 3–5 (1990)Google Scholar
  10. [Dijk68]
    E.W. Dijkstra. Cooperating Sequential Processes. Programming Languages (F. Genuys, ed.), Academic Press. 43–112 (1968)Google Scholar
  11. [EsBr96]
    J. Esparza and G. Bruns. Trapping Mutual Exclusion in the Box Calculus. Theoretical Computer Science 153(1–2), 95–128 (1996)MathSciNetCrossRefGoogle Scholar
  12. [GeLa81]
    H.J. Genrich and K. Lautenbach. System Modelling with High-level Petri Nets. Theoretical Computer Science 13, 109–136 (1981)MathSciNetCrossRefGoogle Scholar
  13. [Goos95]
    G. Goos. Vorlesungen über Informatik — Band 1: Grundlagen und funktionales Programmieren. Springer-Verlag (1995)Google Scholar
  14. [Hare92]
    D. Harel. Algorithmics: The Spirit of Computing. Addison Wesley (1992)Google Scholar
  15. [Haus87]
    D. Hauschildt. A Petri Net Implementation. Mitteilung 145 des Fachbereiches Informatik der Universität Hamburg (1987)Google Scholar
  16. [Kell76]
    R.M. Keller: Formal Verification of Parallel Programs. Communications of the ACM 19(7), 371–384 (1976)zbMATHCrossRefGoogle Scholar
  17. [KiWa95]
    E. Kindler and R. Walter. Message Passing Mutex. Structures in Concurrency Theory (J. Desel, ed.), Workshops in Computing, Springer-Verlag, 205–219 (1995)Google Scholar
  18. [Pete81]
    G.L. Peterson. Myths about the Mutual Exclusion Problem. Information Processing Letters 12(3), 115–116 (1981)zbMATHCrossRefGoogle Scholar
  19. [Lync96]
    N. Lynch. Distributed Algorithms. Morgan Kaufmann (1996)Google Scholar
  20. [Raym89]
    K. Raymond. A Tree-Based Algorithm for Distributed Mutual Exclusion. ACM Transactions on Computer Systems 7(1), 61–77 (1989)MathSciNetCrossRefGoogle Scholar
  21. [Rayn86]
    M. Raynal. Algorithms for Mutual Exclusion. North Oxford Academic (1986)Google Scholar
  22. [Reis95]
    W. Reisig. Petri Net Models of Distributed Algorithms. Computer Science Today (J. v. Leeuwen, ed.), LNCS 1000. Springer-Verlag, 441–455 (1988)Google Scholar
  23. [Reis96]
    W. Reisig. Modelling and Verification of Distributed Algorithms. CONCUR'96, (U. Montanari and V. Sassone, ed.), LNCS 1119, Springer-Verlag, 579–595 (1996)Google Scholar
  24. [Taub88]
    D. Taubner. On the Implementation of Petri Nets. Advances in Petri Nets 1988 (G. Rozenberg, ed.), LNCS 340. Springer-Verlag, 418–439 (1988)Google Scholar
  25. [Valk87]
    R. Valk. On Theory and Practice: An Exercise in Fairness. Petri Net Newsletter 26, Gesellschaft für Informatik. 4–11 (1987)Google Scholar
  26. [Walt95]
    R. Walter. Petrinetzmodelle verteilter Algorithmen. Edition VERSAL 2, Bertz Verlag (1995)Google Scholar
  27. [WVVR96]
    R. Walter, H. Völzer, T. Vesper, W. Reisig, E. Kindler, J. Freiheit and J. Desel. Memorandum Petrinetzmodelle zur Verifikation Verteilter Algorithmen. Informatik-Bericht 67 der Humboldt-Universität zu Berlin (1996).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Jörg Desel
    • 1
  1. 1.Institut für Angewandte Informatik und Formale BeschreibungsverfahrenUniversität KarlsruheGermany

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