Skip to main content

Making Abstraction-Refinement Efficient in Model Checking

  • Conference paper
Computing and Combinatorics (COCOON 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6842))

Included in the following conference series:

Abstract

Abstraction is one of the most important strategies for dealing with the state space explosion problem in model checking. In the abstract model, the state space is largely reduced, however, a counterexample found in such a model may not be a real counterexample. Accordingly, the abstract model needs to be further refined where an NP-hard state separation problem is often involved. In this paper, a novel method is presented, in which extra variables are added to the abstract model for the refinement. With this method, not only the NP-hard state separation problem can be avoided, but also a smaller refined abstract model can be obtained.

This research is supported by the NSFC Grant No. 61003078, 60873018, 91018010 and 60910004, National Program on Key Basic Research Project of China (973 Program) Grant No.2010CB328102 and ISN Lab Grant No.ISN1102001.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

Similar content being viewed by others

References

  1. Clarke, E.M., Emerson, E.A.: Desigh and syntesis of of synchronization skeletons using branching time temporal logic. In: Kozen, D. (ed.) Logic of Programs 1981. LNCS, vol. 131. Springer, Heidelberg (1982)

    Chapter  Google Scholar 

  2. Quielle, J.P., Sifakis, J.: Specification and verification of concurrent systems in CESAR. In: Proceedings of the 5th International Symposium on Programming, pp. 337–350 (1981)

    Google Scholar 

  3. Clarke, E., Grumberg, O., Jha, S., Lu, Y., Veith, H.: Counterexample guided abstraction refinement. In: Emerson, E., Sistla, A. (eds.) CAV 2000. LNCS, vol. 1855. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  4. Kripke, S.A.: Semantical analysis of modal logic I: normal propositional calculi. Z. Math. Logik Grund. Math. 9, 67–96 (1963)

    Article  MathSciNet  MATH  Google Scholar 

  5. Clarke, E.M., Gupta, A., Strichman, O.: SAT Based Counterexample-Guided Abstraction-Refinement. IEEE Trans. Computer Aided Design 23(7), 1113–1123 (2004)

    Article  Google Scholar 

  6. He, F., Song, X., Hung, W.N.N., Gu, M., Sun, J.: Integrating Evolutionary Computation with Abstraction Refinement for Model Checking. IEEE Trans. Computers 59(1), 116–126 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Rushby, J.: Integrated formal verification: Using model checking with automated abstraction, invariant generation, and theorem proving. Presented at Theoretical and Practical Aspects of SPIN Model Checking: Proc. 5th and 6th Int. SPIN Workshops, citeseer.nj.nec.com/rushby99integrated.html

  8. He, F., Song, X., Gu, M., Sun, J.-G.: Heuristic-Guided Abstraction Refinement. Comput. J. 52(3), 280–287 (2009)

    Article  Google Scholar 

  9. He, F., Song, X., Hung, W.N.N., Gu, M., Sun, J.: Integrating Evolutionary Computation with Abstraction Refinement for Model Checking. IEEE Trans. Computers 59(1), 116–126 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kurshan, R.P.: Computer Aided Verificaton of Coordinating Processes. Princeton Univ. Press, Princeton (1994)

    Google Scholar 

  11. Wang, C., Li, B., Jin, H., Hachtel, G.D., Somenzi, F.: Improving Ariadne’s Bundle by Following Multiple Threads in Abstraction Refinement. IEEE Trans. Computer Aided Design 25(11), 2297–2316 (2006)

    Article  Google Scholar 

  12. Clarke, E.M., Gupta, A., Kukula, J.H., Strichman, O.: SAT Based Abstraction-Refinement Using ILP and Machine Learning Techniques. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 265–279. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  13. Chauhan, P., Clarke, E.M., Kukula, J., Sapra, S., Veith, H., Wang, D.: Automated Abstraction Refinement for Model Checking Large State Spaces Using SAT Based Conflict Analysis. In: Aagaard, M.D., O’Leary, J.W. (eds.) FMCAD 2002. LNCS, vol. 2517. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  14. Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Lazy Abstraction. In: Proc. Symp. Principles of Programming Languages, pp. 58–70 (2002)

    Google Scholar 

  15. Glusman, M., Kamhi, G., Mador-Haim, S., Fraer, R., Vardi, M.Y.: Multiple-Counterexample Guided Iterative Abstraction Refinement: An Industrial Evaluation. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 176–191. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Govindaraju, S.G., Dill, D.L.: Counterexample-Guided Choice of Projections in Approximate Symbolic Model Checking. In: Proc. Int’l Conf. Computer-Aided Design (ICCAD), pp. 115–119 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tian, C., Duan, Z. (2011). Making Abstraction-Refinement Efficient in Model Checking. In: Fu, B., Du, DZ. (eds) Computing and Combinatorics. COCOON 2011. Lecture Notes in Computer Science, vol 6842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22685-4_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22685-4_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22684-7

  • Online ISBN: 978-3-642-22685-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics