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Planning as model checking: the performance of ProB vs NuSMV

Published:06 October 2008Publication History

ABSTRACT

In this paper we investigate the feasibility of using two different model-checking techniques for solving a number of classical AI planning problems. The ProB model checker, based on mathematical set theory and first-order logic, is specifically designed to validate specifications of concurrent programs written in the B specification language. ProB uses a constraint logic programming environment to perform model checking. NuSMV is the other model checker used in this work. It is an extension of SMV and makes use of symbolic model checking techniques to deal with the state explosion problem common to model checking in general. The problem is represented using Binary Decision Diagrams and model checking is performed using tableaux theorem proving techniques. The scope of the problems chosen is currently limited but it is envisaged that the methodology proposed could usefully be extended to larger planning problems.

References

  1. Abrial, J.-R. 1996. The B-Book: Assigning programs to meanings. Cambridge University Press. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Ben-Ari, M. 2001. Mathematical logic for Computer Science, 2 ed. Springer. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Bratko, I. 2001. Prolog Programming for Artificial Intelligence, 3 ed. Addison-Wesley. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Bryant, R. 1992. Symbolic boolean manipulation with ordered binary-decision diagrams. ACM Computing Surveys 24, 3, 142--170. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Butler, M. and Leuschel, M. 2005. Combining CSP and B for Specification and Property Verification. In International Symposium of Formal Methods Europe, J. Fitzgerald, I. Hayes, and A. Tarlecki, Eds. Lecture Notes in Computer Science, vol. 3582. Springer, Heidelberg, 221--236.Google ScholarGoogle Scholar
  6. Cavada, R. 2008. Private email communication.Google ScholarGoogle Scholar
  7. Cavada, R., Cimatti, A., Jochim, C., Keighren, G., Olivetti, E., Pistore, M., Roveri, M., and Tchaltsev, A. 2005. NuSMV 2.4 User Manual. CMU and ITC-irst.Google ScholarGoogle Scholar
  8. Cimatti, A. and Roveri, M. 2000. Conformant Planning vis Symbolic Model Cheking. Tech. rep., ITC-irst, Trento, Italy. Technical Report 0006--04.Google ScholarGoogle Scholar
  9. Clarke, E., Grumberg, O., and Peled, D. 1999. Model Checking. MIT Press. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Daniele, M., Traverso, P., and Vardi, M. 2000. Strong cyclic planning revisited. In Recent Advances in AI Planning. Springer, Heidelberg, 35--48. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Davis, M. and Putnam, H. 1960. A Computing Procedure for Quantification Theory. Journal of the ACM 7, 1, 201--215. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. Enderton, H. 1977. Elements of Set Theory. Academic Press, Inc.Google ScholarGoogle Scholar
  13. Fitting, M. 1996. First-Order Logic and Automated Theorem Proving, 2 ed. Springer. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Formal Systems Europe Ltd. Failures-Divergence Refinement - FDR User Manual.Google ScholarGoogle Scholar
  15. Giunchiglia, F. and Traverso, P. 1999. Planning as Model Checking. In Recent advances in AI Planning. Lecture Notes in Artificial Intelligence, vol. 1809. Springer. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. Giunchiglia, F. and Traverso, P. 2000. A partial order approach to branching time temporal logic model checking. In Proceedings of the 5th European Conference on Planning. Recent Advances in AI Planning. Springer.Google ScholarGoogle Scholar
  17. Hoare, C. 1985. Communicating Sequential Processes. Prentice-Hall, Englewood Cliffs, NJ. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. Holzmann, G. 1997. The model checker SPIN. IEEE Transactions on Software Engineering 23, 5, 279--295. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Leuschel, M. and Butler, M. 2003. ProB: A model checker for B. In FME 2003: Formal Methods. Lecture Notes in Computer Science, vol. 2805. Springer, Heidelberg, 855--874.Google ScholarGoogle Scholar
  20. Leuschel, M., Butler, M., and Presti, S. L. 2005. ProB User Manual. University of Southampton, UK.Google ScholarGoogle Scholar
  21. Leuschel, M., Massart, T., and Currie, A. 2001. How to Make FDR Spin: LTL Model Checking of CSP by Refinement. In International Symposium of Formal Methods Europe. Lecture Notes in Computer Science, vol. 2021. Springer, 99--118. Google ScholarGoogle ScholarDigital LibraryDigital Library
  22. Manzo, M. D., Giunchiglia, E., and Ruffino, S. 1999. Planning via Model Checking in Deterministic Domains: Preliminary Report. In Proceedings of the AIMSA '98 Conference. Number 1480 in Lecture Notes in Artificial Intelligence. Springer, Heidelberg, 221--229.Google ScholarGoogle Scholar
  23. Marinagi, C., Panayiotopoulos, T., and Spyropoulos, C. 2005. AI Planning and Intelligent Agents. Idea Group Inc., 225--257.Google ScholarGoogle Scholar
  24. McMillan, K. 1992. Symbolic Model Checking: An Approach to the State Explosion Problem. Ph.D. thesis, Carnegie Mellon University. Google ScholarGoogle ScholarDigital LibraryDigital Library
  25. McMillan, K. 1993. Symbolic Model Checking. Kluwer Academic Press, Massachusetts. Google ScholarGoogle ScholarDigital LibraryDigital Library
  26. Pistore, M. and Traverso, P. 2000. Planning as Model Checking for Extended Goals in Non-deterministic Domains. Tech. rep., ICT-irst, Trento, Italy. Technical Report 0101-03.Google ScholarGoogle Scholar
  27. Tatibouet, B. 2001. The JBTools Package. Available at http://lifc.univfcomte.fr/PEOPLE/tatibouet/JBTOOLS/BParseren.html.Google ScholarGoogle Scholar
  28. Wallace, M. 1998. Constraint Programming. CRC Press LLC, 17.1--17.17.Google ScholarGoogle Scholar
  29. Wordsworth, J. 1996. Software Engineering with B. Addison-Wesley. Google ScholarGoogle ScholarDigital LibraryDigital Library

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            cover image ACM Other conferences
            SAICSIT '08: Proceedings of the 2008 annual research conference of the South African Institute of Computer Scientists and Information Technologists on IT research in developing countries: riding the wave of technology
            October 2008
            304 pages
            ISBN:9781605582863
            DOI:10.1145/1456659

            Copyright © 2008 ACM

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            Publication History

            • Published: 6 October 2008

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