Skip to main content
Springer Nature Link
Log in

Logic programming and model checking

  • Conference paper
  • First Online:
Principles of Declarative Programming (ALP 1998, PLILP 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1490))

  • 146 Accesses

Abstract

We report on the current status of the LMC project, which seeks to deploy the latest developments in logic-programming technology to advance the state of the art of system specification and verification. In particular, the XMC model checker for value-passing CCS and the modal mu-calculus is discussed, as well as the XSB tabled logic programming system, on which XMC is based. Additionally, several ongoing efforts aimed at extending the LMC approach beyond traditional finite-state model checking are considered, including compositional model checking, the use of explicit induction techniques to model check parameterized systems, and the model checking of real-time systems. Finally, after a brief conclusion, future research directions are identified.

Research supported in part by NSF grants CDA-9303181, CCR-9404921, CCR-9505562, CDA-9504275, CCR-9705998, CCR-9711386 and AFOSR grants F49620-95-1-0508 and F49620-96-1-0087.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Alur, C. Courcoubetis, and D. Dill. Model-checking for real-time systems. Information and Computation, 104(1):2–34, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  2. R. Alur and D. Dill. The theory of timed automata. Theoretical Computer Science, 126(2), 1994.

    Google Scholar 

  3. R. Alur and T. A. Henzinger, editors. Computer Aided Verification (CAV '96), volume 1102 of Lecture Notes in Computer Science, New Brunswick, New Jersey, July 1996. Springer-Verlag.

    Google Scholar 

  4. H. R. Andersen, C. Stirling, and G. Winskel. A compositional proof system for the modal mu-calculus. In Proceedings of the Ninth Annual IEEE Symposium on Logic in Computer Science, pages 144–153, Paris, France, July 1994.

    Google Scholar 

  5. P. Cousot and R. Cousot. Abstract interpretation: A unified lattice model for static analysis of programs by construction or approximation of fix-points. In ACM Symposium on Principles of Programming Languages, pages 238–252. ACM Press, 1977.

    Google Scholar 

  6. E. M. Clarke and E. A. Emerson. Design and synthesis of synchronization skeletons using branching-time temporal logic. In D. Kozen, editor, Proceedings of the Workshop on Logic of Programs, Yorktown Heights, volume 131 of Lecture Notes in Computer Science, pages 52–71. Springer-Verlag, 1981.

    Google Scholar 

  7. E. M. Clarke, E. A. Emerson, and A. P. Sistla. Automatic verification of finite-state concurrent systems using temporal logic specifications. ACM TOPLAS, 8(2), 1986.

    Google Scholar 

  8. R. Cleaveland, P. M. Lewis, S. A. Smolka, and O. Sokolsky. The Concurrency Factory: A development environment for concurrent systems. In Alur and Henzinger [AH96], pages 398–401.

    Google Scholar 

  9. E. M. Clarke, K. McMillan, S. Campos, and V. Hartonas-GarmHausen. Symbolic model checking. In Alur and Henzinger [AH96], pages 419–422.

    Google Scholar 

  10. W. Chen and D. S. Warren. Tabled evaluation with delaying for general logic programs. Journal of the ACM, 43(1):20–74, January 1996.

    Article  MATH  MathSciNet  Google Scholar 

  11. E. M. Clarke and J. M. Wing. Formal methods: State of the art and future directions. ACM Computing Surveys, 28(4), December 1996.

    Google Scholar 

  12. D. Dams. Abstract Interpretation and Partition Refinement for Model Checking. PhD thesis, Eindhoven University of Technology, 1996.

    Google Scholar 

  13. E. A. Emerson and C.-L. Lei. Efficient model checking in fragments of the propositional mu-calculus. In Proceedings of the First Annual Symposium on Logic in Computer Science, pages 267–278, 1986.

    Google Scholar 

  14. M. Gelfond and V. Lifschitz. The stable model semantics for logic programming. In International Conference on Logic Programming, pages 1070–1080, 1988.

    Google Scholar 

  15. R. H. Hardin, Z. Har'El, and R. P. Kurshan. COSPAN. In Alur and Henzinger [AH96], pages 423–427.

    Google Scholar 

  16. T. A. Henzinger, X. Nicollin, J. Sifakis, and S. Yovine. Symbolic model checking for real-time systems. Information and Computation, 111(2), 1994.

    Google Scholar 

  17. G. J. Holzmann and D. Peled. The state of SPIN. In Alur and Henzinger [AH96], pages 385–389.

    Google Scholar 

  18. G. Holzmann, D. Peled, and V. Pratt, editors. Partial-Order Methods in Verification (POMIV '96), DIMACS Series in Discrete Mathematics and Theoretical Computer Science, New Brunswick, New Jersey, July 1996. American Mathematical Society.

    Google Scholar 

  19. J. Jaffar and J.-L. Lassez. Constraint logic programming. In ACM Symposium on Principles of Programming Languages, pages 111–119, 1987.

    Google Scholar 

  20. D. Kozen. Results on the propositional Μ-calculus. Theoretical Computer Science, 27:333–354, 1983.

    Article  MATH  MathSciNet  Google Scholar 

  21. J. W. Lloyd. Foundations of Logic Programming. Springer, 1984.

    Google Scholar 

  22. X. Liu, C. R. Ramakrishnan, and S. A. Smolka. Fully local and efficient evaluation of alternating fixed points. In Proceedings of the Fourth International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS '98), Lecture Notes in Computer Science. Springer-Verlag, 1998.

    Google Scholar 

  23. R. Milner. Calculi for synchrony and asynchrony. Theoretical Computer Science, 25:267–310, 1983.

    Article  MATH  MathSciNet  Google Scholar 

  24. R. Milner. Communication and Concurrency. International Series in Computer Science. Prentice Hall, 1989.

    Google Scholar 

  25. I. Niemela and P. Simons. Efficient implementation of the well-founded and stable model semantics. In Joint International Conference and Symposium on Logic Programming, pages 289–303, 1996.

    Google Scholar 

  26. J. P. Queille and J. Sifakis. Specification and verification of concurrent systems in Cesar. In Proceedings of the International Symposium in Programming, volume 137 of Lecture Notes in Computer Science, Berlin, 1982. Springer-Verlag.

    Google Scholar 

  27. Y. S. Ramakrishna, C. R. Ramakrishnan, I. V. Ramakrishnan, S. A. Smolka, T. W. Swift, and D. S. Warren. Efficient model checking using tabled resolution. In Proceedings of the 9th International Conference on Computer-Aided Verification (CAV '97), Haifa, Israel, July 1997. Springer-Verlag.

    Google Scholar 

  28. A. Roychoudhury, C. R. Ramakrishnan, I. V. Ramakrishnan, and S. A. Smolka. Tabulation-based induction proofs with applications to automated verification. In Workshop on Tabulation in Parsing and Deduction, 1998.

    Google Scholar 

  29. O. Sokolsky and S. A. Smolka. Local model checking for real-time systems. In Proceedings of the 7th International Conference on Computer-Aided Verification. American Mathematical Society, 1995.

    Google Scholar 

  30. K. Sagonas, T. Swift, and D. S. Warren. An abstract machine to compute fixed-order dynamically stratified programs. In International Conference on Automated Deduction (CADE), 1996.

    Google Scholar 

  31. H. Tamaki and T. Sato. OLDT resolution with tabulation. In International Conference on Logic Programming, pages 84–98. MIT Press, 1986.

    Google Scholar 

  32. A. van Gelder, K. A. Ross, and J. S. Schlipf. The well-founded semantics for general logic programs. Journal of the ACM, 38(3), 1991.

    Google Scholar 

  33. P. Wolper. Expressing interesting properties of programs in propositional temporal logic. In Proc. 13th ACM Symp. on Principles of Programming, pages 184–192, St. Petersburgh, January 1986.

    Google Scholar 

  34. XSB. The XSB logic programming system v1.8, 1998. Available from http://www.cs.sunysb.edu/~sbprolog.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science, SUNY at Stony Brook, 11794-4400, Stony Brook, NY, USA

    Baoqiu Cui, Yifei Dong, Xiaoqun Du, K. Narayan Kumar, C. R. Ramakrishnan, I. V. Ramakrishnan, Abhik Roychoudhury, Scott A. Smolka & David S. Warren

Authors
  1. Baoqiu Cui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yifei Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiaoqun Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. K. Narayan Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. C. R. Ramakrishnan
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. I. V. Ramakrishnan
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Abhik Roychoudhury
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Scott A. Smolka
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. David S. Warren
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Catuscia Palamidessi Hugh Glaser Karl Meinke

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cui, B. et al. (1998). Logic programming and model checking. In: Palamidessi, C., Glaser, H., Meinke, K. (eds) Principles of Declarative Programming. ALP PLILP 1998 1998. Lecture Notes in Computer Science, vol 1490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0056604

Download citation

  • DOI: https://doi.org/10.1007/BFb0056604

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65012-6

  • Online ISBN: 978-3-540-49766-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics