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Automatic Verification of Parametric Specifications with Complex Topologies

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Integrated Formal Methods (IFM 2010)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6396))

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Abstract

The focus of this paper is on reducing the complexity in verification by exploiting modularity at various levels: in specification, in verification, and structurally. For specifications, we use the modular language CSP-OZ-DC, which allows us to decouple verification tasks concerning data from those concerning durations. At the verification level, we exploit modularity in theorem proving for rich data structures and use this for invariant checking. At the structural level, we analyze possibilities for modular verification of systems consisting of various components which interact. We illustrate these ideas by automatically verifying safety properties of a case study from the European Train Control System standard, which extends previous examples by comprising a complex track topology with lists of track segments and trains with different routes.

This work was partly supported by the German Research Council (DFG) under grant SFB/TR 14 AVACS. See http://www.avacs.org for more information.

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References

  1. Abdulla, P.A., Delzanno, G., Rezine, A.: Approximated parameterized verification of infinite-state processes with global conditions. Form. Method Syst. Des. 34(2), 126–156 (2009)

    Article  MATH  Google Scholar 

  2. Abdulla, P.A., Jonsson, B.: Verifying networks of timed processes. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 298–312. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Abdulla, P.A., Jonsson, B., Nilsson, M., Saksena, M.: A survey of regular model checking. In: Gardner, P., Yoshida, N. (eds.) CONCUR 2004. LNCS, vol. 3170, pp. 35–48. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Abrial, J.R., Mussat, L.: Introducing dynamic constraints in B. In: Bert, D. (ed.) B 1998. LNCS, vol. 1393, pp. 83–128. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  5. Arons, T., Pnueli, A., Ruah, S., Xu, J., Zuck, L.D.: 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 

  6. Bradley, A., Manna, Z., Sipma, H.: What’s decidable about arrays? In: Emerson, E.A., Namjoshi, K.S. (eds.) VMCAI 2006. LNCS, vol. 3855, pp. 427–442. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Clarke, E.M., 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 (2006)

    Chapter  Google Scholar 

  8. Faber, J., Ihlemann, C., Jacobs, S., Sofronie-Stokkermans, V.: Automatic verification of parametric specifications with complex topologies. Reports of SFB/TR 14 AVACS No. 66, SFB/TR 14 AVACS (2010), http://www.avacs.org

  9. Faber, J., Jacobs, S., Sofronie-Stokkermans, V.: Verifying CSP-OZ-DC specifications with complex data types and timing parameters. In: Davies, J., Gibbons, J. (eds.) IFM 2007. LNCS, vol. 4591, pp. 233–252. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  10. Haxthausen, A.E., Peleska, J.: A domain-oriented, model-based approach for construction and verification of railway control systems. In: Jones, C.B., Liu, Z., Woodcock, J. (eds.) Formal Methods and Hybrid Real-Time Systems. LNCS, vol. 4700, pp. 320–348. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. Hoenicke, J.: Combination of Processes, Data, and Time. Ph.D. thesis, University of Oldenburg, Germany (2006)

    Google Scholar 

  12. Hoenicke, J., Olderog, E.R.: CSP-OZ-DC: A combination of specification techniques for processes, data and time. Nordic J. Comput. 9(4), 301–334 (2002)

    MathSciNet  MATH  Google Scholar 

  13. Ihlemann, C., Jacobs, S., Sofronie-Stokkermans, V.: On local reasoning in verification. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 265–281. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Ihlemann, C., Sofronie-Stokkermans, V.: System description: H-PILoT. In: Schmidt, R.A. (ed.) CADE-22. LNCS, vol. 5663, pp. 131–139. Springer, Heidelberg (2009)

    Google Scholar 

  15. Jacobs, S., Sofronie-Stokkermans, V.: Applications of hierarchic reasoning in the verification of complex systems. ENTCS 174(8), 39–54 (2007)

    MATH  Google Scholar 

  16. Lahiri, S.K., Bryant, R.E.: Indexed predicate discovery for unbounded system verification. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 135–147. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Mahony, B.P., Dong, J.S.: Blending Object-Z and timed CSP: An introduction to TCOZ. In: ICSE 1998, pp. 95–104 (1998)

    Google Scholar 

  18. McPeak, S., Necula, G.: Data structure specifications via local equality axioms. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 476–490. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  19. Meyer, R., Faber, J., Hoenicke, J., Rybalchenko, A.: Model checking duration calculus: A practical approach. Form. Asp. Comput. 20(4-5), 481–505 (2008)

    Article  MATH  Google Scholar 

  20. Möller, M., Olderog, E.R., Rasch, H., Wehrheim, H.: Integrating a formal method into a software engineering process with UML and Java. Form. Asp. Comput. 20, 161–204 (2008)

    Article  MATH  Google Scholar 

  21. Platzer, A., Quesel, J.D.: European train control system: A case study in formal verification. In: Breitman, K., Cavalcanti, A. (eds.) ICFEM 2009. LNCS, vol. 5885, pp. 246–265. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  22. Podelski, A., Rybalchenko, A.: ARMC: The logical choice for software model checking with abstraction refinement. In: Hanus, M. (ed.) PADL 2007. LNCS, vol. 4354, pp. 245–259. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  23. Sofronie-Stokkermans, V.: Hierarchic reasoning in local theory extensions. In: Nieuwenhuis, R. (ed.) CADE 2005. LNCS (LNAI), vol. 3632, pp. 219–234. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  24. Sofronie-Stokkermans, V.: Sheaves and geometric logic and applications to modular verification of complex systems. ENTCS 230, 161–187 (2009)

    MATH  Google Scholar 

  25. Sofronie-Stokkermans, V.: Hierarchical reasoning for the verification of parametric systems. In: Giesl, J., Hähnle, R. (eds.) IJCAR 2010. LNCS (LNAI), vol. 6173, pp. 171–187. Springer, Heidelberg (2010)

    Google Scholar 

  26. Woodcock, J.C.P., Cavalcanti, A.L.C.: A concurrent language for refinement. In: Butterfield, A., Strong, G., Pahl, C. (eds.) IWFM 2001. BCS Elec. Works. Comp. (2001)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Computing Science, University of Oldenburg, Germany

    Johannes Faber

  2. Max-Planck-Institut für Informatik, Saarbrücken, Germany

    Carsten Ihlemann & Viorica Sofronie-Stokkermans

  3. École Polytechnique Fédérale de Lausanne, Switzerland

    Swen Jacobs

Authors
  1. Johannes Faber
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  2. Carsten Ihlemann
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  3. Swen Jacobs
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  4. Viorica Sofronie-Stokkermans
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  1. INRIA Nancy-Grand Est & LORIA, Bâtiment B, équipe MOSEL, 615 rue du Jardin Botanique, 54602, Villers-lès-Nancy cédex, France

    Dominique Méry  & Stephan Merz  & 

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Faber, J., Ihlemann, C., Jacobs, S., Sofronie-Stokkermans, V. (2010). Automatic Verification of Parametric Specifications with Complex Topologies. In: Méry, D., Merz, S. (eds) Integrated Formal Methods. IFM 2010. Lecture Notes in Computer Science, vol 6396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16265-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-16265-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16264-0

  • Online ISBN: 978-3-642-16265-7

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