A Model Checker for Hierarchical Probabilistic Real-Time Systems

  • Songzheng Song
  • Jun Sun
  • Yang Liu
  • Jin Song Dong
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7358)

Abstract

Real-life systems are usually hard to control, due to their complicated structures, quantitative time factors and even stochastic behaviors. In this work, we present a model checker to analyze hierarchical probabilistic real-time systems. A modeling language called PRTS is used to specify such systems, and automatic zone-abstraction approach, which is probability preserving, is used to generate finite state MDP. We have implemented PRTS in model checking framework PAT so that friendly user interface can be used to edit, simulate and verify PRTS models. Some experiments are conducted to show our tool’s efficiency.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
  2. 2.
    Alpern, B., Schneider, F.B.: Recognizing Safety and Liveness. Distributed Computing 2(3), 117–126 (1987)MATHCrossRefGoogle Scholar
  3. 3.
    Baier, C., Katoen, J.: Principles of Model Checking. The MIT Press (2008)Google Scholar
  4. 4.
    Behrmann, G., David, A., Larsen, K.G., Håkansson, J., Pettersson, P., Yi, W., Hendriks, M.: UPPAAL 4.0. In: QEST, pp. 125–126. IEEE (2006)Google Scholar
  5. 5.
    Chaki, S., Clarke, E.M., Ouaknine, J., Sharygina, N., Sinha, N.: State/Event-Based Software Model Checking. In: Boiten, E.A., Derrick, J., Smith, G.P. (eds.) IFM 2004. LNCS, vol. 2999, pp. 128–147. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  6. 6.
    Hartmanns, A., Hermanns, H.: A modest approach to checking probabilistic timed automata. In: QEST, pp. 187–196 (September 2009)Google Scholar
  7. 7.
    Kwiatkowska, M., Norman, G., Parker, D.: Symmetry Reduction for Probabilistic Model Checking. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 234–248. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  8. 8.
    Kwiatkowska, M., Norman, G., Parker, D.: Stochastic Games for Verification of Probabilistic Timed Automata. In: Ouaknine, J., Vaandrager, F.W. (eds.) FORMATS 2009. LNCS, vol. 5813, pp. 212–227. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  9. 9.
    Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: Verification of Probabilistic Real-Time Systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585–591. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  10. 10.
    Kwiatkowska, M., Norman, G., Segala, R., Sproston, J.: Automatic Verification of Real-time Systems with Discrete Probability Distributions. Theoretical Computer Science 282(1), 101–150 (2002)MathSciNetMATHCrossRefGoogle Scholar
  11. 11.
    Liu, Y., Pang, J., Sun, J., Zhao, J.: Verification of population ring protocols in pat. In: TASE, pp. 81–89. IEEE Computer Society (2009)Google Scholar
  12. 12.
    Pnueli, A., Xu, J., Zuck, L.D.: Liveness with (0,1, ∞ )-Counter Abstraction. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 107–122. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  13. 13.
    Schneider, S.: Concurrent and Real-time Systems. John Wiley and Sons (2000)Google Scholar
  14. 14.
    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)CrossRefGoogle Scholar
  15. 15.
    Sun, J., Liu, Y., Roychoudhury, A., Liu, S., Dong, J.S.: Fair Model Checking with Process Counter Abstraction. In: Cavalcanti, A., Dams, D.R. (eds.) FM 2009. LNCS, vol. 5850, pp. 123–139. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  16. 16.
    Sun, J., Liu, Y., Song, S., Dong, J.S., Li, X.: PRTS: An Approach for Model Checking Probabilistic Real-Time Hierarchical Systems. In: Qin, S., Qiu, Z. (eds.) ICFEM 2011. LNCS, vol. 6991, pp. 147–162. Springer, Heidelberg (2011)CrossRefGoogle Scholar
  17. 17.
    Sun, J., Song, S., Liu, Y.: Model Checking Hierarchical Probabilistic Systems. In: Dong, J.S., Zhu, H. (eds.) ICFEM 2010. LNCS, vol. 6447, pp. 388–403. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  18. 18.
    Sun, J., Song, S., Liu, Y., Dong, J.S.: PRTS: Specification and Model Checking. Technical report (2011), http://www.comp.nus.edu.sg/~pat/preport.pdf

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Songzheng Song
    • 1
  • Jun Sun
    • 2
  • Yang Liu
    • 3
  • Jin Song Dong
    • 4
  1. 1.NUS Graduate School for Integrative Sci and EngineeringNational University of SingaporeSingapore
  2. 2.Information System Technology and DesignSingapore University of Technology and DesignSingapore
  3. 3.Temasek LabNational University of SingaporeSingapore
  4. 4.School of ComputingNational University of SingaporeSingapore

Personalised recommendations