Skip to main content

Fair Model Checking with Process Counter Abstraction

  • Conference paper
FM 2009: Formal Methods (FM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5850))

Included in the following conference series:

Abstract

Parameterized systems are characterized by the presence of a large (or even unbounded) number of behaviorally similar processes, and they often appear in distributed/concurrent systems. A common state space abstraction for checking parameterized systems involves not keeping track of process identifiers by grouping behaviorally similar processes. Such an abstraction, while useful, conflicts with the notion of fairness. Because process identifiers are lost in the abstraction, it is difficult to ensure fairness (in terms of progress in executions) among the processes. In this work, we study the problem of fair model checking with process counter abstraction. Even without maintaining the process identifiers, our on-the-fly checking algorithm enforces fairness by keeping track of the local states from where actions are enabled / executed within an execution trace. We enhance our home-grown PAT model checker with the technique and show its usability via the automated verification of several real-life protocols.

This research has been supported in part by National University of Singapore FRC grant R-252-000-385-112 and R-252-000-320-112.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Agesen, O., Detlefs, D., Garthwaite, A., Knippel, R., Ramakrishna, Y.S., White, D.: An Efficient Meta-Lock for Implementing Ubiquitous Synchronization. In: OOPSLA, pp. 207–222 (1999)

    Google Scholar 

  2. Apt, K.R., Kozen, D.: Limits for automatic verification of finite-state concurrent systems. Inf. Process. Lett. 22(6), 307–309 (1986)

    Article  MathSciNet  Google Scholar 

  3. Attiya, H., Welch, J.: Distributed Computing: Fundamentals, Simulations, and Advanced Topics, 2nd edn. John Wiley & Sons, Inc., Publication, Chichester (2004)

    Google Scholar 

  4. Bosnacki, D., Ioustinova, N., Sidorova, N.: Using Fairness to Make Abstractions Work. In: Graf, S., Mounier, L. (eds.) SPIN 2004. LNCS, vol. 2989, pp. 198–215. Springer, Heidelberg (2004)

    Google Scholar 

  5. Clarke, E.M., Filkorn, T., Jha, S.: Exploiting Symmetry In Temporal Logic Model Checking. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 450–462. Springer, Heidelberg (1993)

    Google Scholar 

  6. Dams, D., Gerth, R., Grumberg, O.: Fair Model Checking of Abstractions. In: VCL 2000 (2000)

    Google Scholar 

  7. Delzanno, G.: Automatic Verification of Parameterized Cache Coherence Protocols. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 53–68. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  8. Emerson, E.A., Namjoshi, K.S.: On Reasoning About Rings. Int. J. Found. Comput. Sci. 14(4), 527–550 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  9. Emerson, E.A., Sistla, A.P.: Utilizing Symmetry when Model-Checking under Fairness Assumptions: An Automata-Theoretic Approach. ACM Trans. Program. Lang. Syst. 19(4), 617–638 (1997)

    Article  Google Scholar 

  10. Fang, Y., McMillan, K.L., Pnueli, A., Zuck, L.D.: Liveness by Invisible Invariants. In: Najm, E., Pradat-Peyre, J.-F., Donzeau-Gouge, V.V. (eds.) FORTE 2006. LNCS, vol. 4229, pp. 356–371. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  11. Fischer, M.J., Jiang, H.: Self-stabilizing Leader Election in Networks of Finite-state Anonymous Agents. In: Shvartsman, M.M.A.A. (ed.) OPODIS 2006. LNCS, vol. 4305, pp. 395–409. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Geldenhuys, J., Valmari, A.: More efficient on-the-fly LTL verification with Tarjan’s algorithm. Theoretical Computer Science 345(1), 60–82 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. German, S.M., Sistla, A.P.: Reasoning about Systems with Many Processes. J. ACM 39(3), 675–735 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  14. Gyuris, V., Sistla, A.P.: On-the-Fly Model Checking Under Fairness That Exploits Symmetry. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 232–243. Springer, Heidelberg (1997)

    Google Scholar 

  15. Hammer, M., Knapp, A., Merz, S.: Truly On-the-Fly LTL Model Checking. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 191–205. Springer, Heidelberg (2005)

    Google Scholar 

  16. Henzinger, M.R., Telle, J.A.: Faster Algorithms for the Nonemptiness of Streett Automata and for Communication Protocol Pruning. In: Karlsson, R., Lingas, A. (eds.) SWAT 1996. LNCS, vol. 1097, pp. 16–27. Springer, Heidelberg (1996)

    Google Scholar 

  17. Holzmann, G.J.: The SPIN Model Checker: Primer and Reference Manual. Addison Wesley, Reading (2003)

    Google Scholar 

  18. Ip, C.N., Dill, D.L.: Verifying Systems with Replicated Components in Mur&b.phiv. Formal Methods in System Design 14(3), 273–310 (1999)

    Article  Google Scholar 

  19. Jonsson, B., Saksena, M.: Systematic Acceleration in Regular Model Checking. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 131–144. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  20. Kesten, Y., Pnueli, A., Raviv, L., Shahar, E.: Model Checking with Strong Fairness. Formal Methods and System Design 28(1), 57–84 (2006)

    Article  MATH  Google Scholar 

  21. Lesens, D., Halbwachs, N., Raymond, P.: Automatic Verification of Parameterized Linear Networks of Processes. In: POPL, pp. 346–357 (1997)

    Google Scholar 

  22. Nitsche, U., Wolper, P.: Relative Liveness and Behavior Abstraction (Extended Abstract). In: PODC 1997, pp. 45–52 (1997)

    Google Scholar 

  23. Pnueli, A., Xu, J., Zuck, L.D.: Liveness with (0, 1, infty)-Counter Abstraction. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 107–122. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  24. Pong, F., Dubois, M.: A New Approach for the Verification of Cache Coherence Protocols. IEEE Trans. Parallel Distrib. Syst. 6(8), 773–787 (1995)

    Article  Google Scholar 

  25. Pong, F., Dubois, M.: Verification Techniques for Cache Coherence Protocols. ACM Comput. Surv. 29(1), 82–126 (1996)

    Article  Google Scholar 

  26. Sun, J., Liu, Y., Dong, J.S., Pang, J.: PAT: Towards Flexible Verification under Fairness. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 709–714. Springer, Heidelberg (2009)

    Google Scholar 

  27. Sun, J., Liu, Y., Dong, J.S., Wang, H.H.: Specifying and verifying event-based fairness enhanced systems. In: Liu, S., Maibaum, T., Araki, K. (eds.) ICFEM 2008. LNCS, vol. 5256, pp. 318–337. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  28. Treiber, R.K.: Systems programming: Coping with parallelism. Technical report (1986)

    Google Scholar 

  29. Ultes-Nitsche, U., St. James, S.: Improved Verification of Linear-time Properties within Fairness: Weakly Continuation-closed Behaviour Abstractions Computed from Trace Reductions. Softw. Test., Verif. Reliab. 13(4), 241–255 (2003)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sun, J., Liu, Y., Roychoudhury, A., Liu, S., Dong, J.S. (2009). Fair Model Checking with Process Counter Abstraction. In: Cavalcanti, A., Dams, D.R. (eds) FM 2009: Formal Methods. FM 2009. Lecture Notes in Computer Science, vol 5850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05089-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-05089-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05088-6

  • Online ISBN: 978-3-642-05089-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics