Skip to main content

Automatic Verification of Directory-Based Consistency Protocols

  • Conference paper
Reachability Problems (RP 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5797))

Included in the following conference series:

Abstract

We propose a symbolic verification method for directory-based consistency protocols working for an arbitrary number of controlled resources and competing processes. We use a graph-based language to specify in a uniform way both client/server interaction schemes and manipulation of directories that contain the access rights of individual clients. Graph transformations model the dynamics of a given protocol. Universally quantified conditions defined on the labels of edges incident to a given node are used to model inspection of directories, invalidation loops and integrity conditions. Our verification procedure computes an approximated backward reachability analysis by using a symbolic representation of sets of configurations. Termination is ensured by using the theory of well-quasi orderings.

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.

References

  1. Abdulla, P.A., Bouajjani, A., Cederberg, J., Haziz, F., Rezine, A.: Monotonic abstraction for programs with dynamic memory heaps. In: Gupta, A., Malik, S. (eds.) CAV 2008. LNCS, vol. 5123, pp. 341–354. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Abdulla, P.A., Čerāns, K., Jonsson, B., Tsay, Y.-K.: General decidability theorems for infinite-state systems. LICS 1996, 313–321 (1996)

    Google Scholar 

  3. Abdulla, P.A., Ben Henda, N., Delzanno, G., Rezine, A.: Regular model checking without transducers. In: Grumberg, O., Huth, M. (eds.) TACAS 2007. LNCS, vol. 4424, pp. 721–736. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Abdulla, P.A., Ben Henda, N., Delzanno, G., Rezine, A.: Handling parameterized systems with non-atomic global conditions. In: Logozzo, F., Peled, D.A., Zuck, L.D. (eds.) VMCAI 2008. LNCS, vol. 4905, pp. 22–36. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Abdulla, P.A., Delzanno, G., Rezine, A.: Parameterized verification of infinite-state processes with global conditions. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 145–157. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Abdulla, P.A., Delzanno, G., Haziza, F., Rezine, A.: Parameterized tree systems. In: Suzuki, K., Higashino, T., Yasumoto, K., El-Fakih, K. (eds.) FORTE 2008. LNCS, vol. 5048, pp. 69–83. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Abdulla, P.A., Delzanno, G., Rezine, A.: Approximated Context-sensitive Analysis for Parameterized Verification FORTE 2009 (2009)

    Google Scholar 

  8. Abdulla, P.A., Jonsson, B., Nilsson, M., d’Orso, J.: Regular model checking made simple and efficient. In: Brim, L., Jančar, P., Křetínský, M., Kucera, A. (eds.) CONCUR 2002. LNCS, vol. 2421, pp. 116–130. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  9. Arons, T., Pnueli, A., Ruah, S., Xu, J., Zuck, L.: Parameterized verification with automatically computed inductive assertions. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, pp. 221–234. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Boigelot, B., Legay, A., Wolper, P.: Iterating transducers in the large. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 223–235. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Bouajjani, A., Habermehl, P., Vojnar, T.: Abstract regular model checking. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 372–386. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Bouajjani, A., Muscholl, A., Touili, T.: Permutation Rewriting and Algorithmic Verification. Inf. and Comp. 205(2), 199–224 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  13. Clarke, E., Talupur, M., Veith, H.: Environment abstraction for parameterized verification. In: Emerson, E.A., Namjoshi, K.S. (eds.) VMCAI 2006. LNCS, vol. 3855, pp. 126–141. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Delzanno, G.: Constraint-Based Verification of Parameterized Cache Coherence Protocols. FMSD 23(3), 257–301 (2003)

    MATH  Google Scholar 

  15. Emmi, M., Jhala, R., Kohler, E., Majumdar, R.: Verifying reference counted objects. In: TACAS 2009 (to appear, 2009)

    Google Scholar 

  16. Esparza, J., Finkel, A., Mayr, R.: On the Verification of Broadcast Protocols. LICS (1999)

    Google Scholar 

  17. Finkel, A., Schnoebelen, P.: Well-structured transition systems everywhere! TCS 256(1-2), 63–92 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  18. Joshi, S., König, B.: Applying the graph minor theorem to the verification of graph transformation systems. In: Gupta, A., Malik, S. (eds.) CAV 2008. LNCS, vol. 5123, pp. 214–226. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  19. Kesten, Y., Maler, O., Marcus, M., Pnueli, A., Shahar, E.: Symbolic model checking with rich assertional languages. TCS 256, 93–112 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  20. Pong, F., Dubois, M.: Correctness of a Directory-Based Cache Coherence Protocol: Early Experience. In: SPDP 1993, pp. 37–44 (1993)

    Google Scholar 

  21. Pnueli, A., Ruah, S., Zuck, L.: Automatic deductive verification with invisible invariants. In: Margaria, T., Yi, W. (eds.) TACAS 2001. LNCS, vol. 2031, pp. 82–97. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  22. Saksena, M., Wibling, O., Jonsson, B.: Graph Grammar Modeling and Verification of Ad Hoc Routing Protocols. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 18–32. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  23. Vardi, M.Y., Wolper, P.: An automata-theoretic approach to automatic program verification. LICS 1986, 332–344 (1986)

    Google Scholar 

  24. Yavuz-Kahveci, T., Bultan, T.: A symbolic manipulator for automated verification of reactive systems with heterogeneous data types. STTT 5(1), 15–33 (2003)

    Article  Google Scholar 

  25. Yavuz-Kahveci, T., Bultan, T.: Verification of parameterized hierarchical state machines using action language verifier. In: MEMOCODE 2005, pp. 79–88 (2005)

    Google Scholar 

  26. Symgraph: http://www.disi.unige.it/person/DelzannoG/Symgraph/

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

Abdulla, P.A., Delzanno, G., Rezine, A. (2009). Automatic Verification of Directory-Based Consistency Protocols. In: Bournez, O., Potapov, I. (eds) Reachability Problems. RP 2009. Lecture Notes in Computer Science, vol 5797. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04420-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04420-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04419-9

  • Online ISBN: 978-3-642-04420-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics