Advertisement

Weighted Pushdown Systems and Their Application to Interprocedural Dataflow Analysis

  • Thomas Reps
  • Stefan Schwoon
  • Somesh Jha
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2694)

Abstract

Recently, pushdown systems (PDSs) have been extended to weighted PDSs, in which each transition is labeled with a value, and the goal is to determine the meet-over-all-paths value (for paths that meet a certain criterion). This paper shows how weighted PDSs yield new algorithms for certain classes of interprocedural dataflow-analysis problems.

Keywords

Model Check Logic Program Regular Language Derivation Tree Program Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A.V. Aho, R. Sethi, and J.D. Ullman. Compilers: Principles, Techniques and Tools. Addison-Wesley, 1985.Google Scholar
  2. 2.
    F. Bancilhon, D. Maier, Y. Sagiv, and J. Ullman. Magic sets and other strange ways to implement logic programs. In Proceedings of the Fifth ACM Symposium on Principles of Database Systems, New York, NY, 1986. ACM Press.Google Scholar
  3. 3.
    A. Bouajjani, J. Esparza, and O. Maler. Reachability analysis of pushdown automata: Application to model checking. In Proc. CONCUR, volume 1243 of Lec. Notes in Comp. Sci., pages 135–150. Springer-Verlag, 1997.MathSciNetGoogle Scholar
  4. 4.
    A. Bouajjani, J. Esparza, and T. Touili. A generic approach to the static analysis of concurrent programs with procedures. In Proc. Symp. on Princ. of Prog. Lang., pages 62–73, 2003.Google Scholar
  5. 5.
    H. Chen and D. Wagner. MOPS: An infrastructure for examining security properties of software. In Conf. on Comp. and Commun. Sec., November 2002.Google Scholar
  6. 6.
    P. Cousot and R. Cousot. Temporal abstract interpretation. In Symp. on Princ. of Prog. Lang., pages 12–25, 2000.Google Scholar
  7. 7.
    E. Duesterwald, R. Gupta, and M.L. Soffa. Demand-driven computation of interprocedural data flow. In Symp. on Princ. of Prog. Lang., pages 37–48, New York, NY, 1995. ACM Press.Google Scholar
  8. 8.
    J. Esparza, D. Hansel, P. Rossmanith, and S. Schwoon. Efficient algorithms for model checking pushdown systems. In Proc. Computer-Aided Verif., volume 1855 of Lec. Notes in Comp. Sci., pages 232–247, July 2000.CrossRefGoogle Scholar
  9. 9.
    J. Esparza and J. Knoop. An automata-theoretic approach to interprocedural data-flow analysis. In Proceedings of FoSSaCS’99, volume 1578 of LNCS, pages 14–30. Springer, 1999.Google Scholar
  10. 10.
    J. Esparza, A. Kučera, and S. Schwoon. Model-checking LTL with regular valuations for pushdown systems. In Proceedings of TACAS’01, volume 2031 of LNCS, pages 306–339. Springer, 2001.Google Scholar
  11. 11.
    S. Horwitz, T. Reps, and M. Sagiv. Demand interprocedural dataflow analysis. In Proceedings of the Third ACM SIGSOFT Symposium on the Foundations of Software Engineering, pages 104–115, New York, NY, October 1995. ACM Press.Google Scholar
  12. 12.
    T. Jensen, D. Le Metayer, and T. Thorn. Verification of control flow based security properties. In 1999 IEEE Symposium on Security and Privacy, May 1999.Google Scholar
  13. 13.
    S. Jha and T. Reps. Analysis of SPKI/SDSI certificates using model checking. In IEEE Comp. Sec. Found. Workshop (CSFW). IEEE Computer Society Press, 2002.Google Scholar
  14. 14.
    J. Knoop and B. Steffen. The interprocedural coincidence theorem. In Int. Conf. on Comp. Construct., pages 125–140, 1992.Google Scholar
  15. 15.
    U. Moencke and R. Wilhelm. Grammar flow analysis. In H. Alblas and B. Melichar, editors, Attribute Grammars, Applications and Systems, volume 545 of Lec. Notes in Comp. Sci., pages 151–186, Prague, Czechoslovakia, June 1991. Springer-Verlag.Google Scholar
  16. 16.
    M. Müller-Olm and H. Seidl. Computing interprocedurally valid relations in affine programs. Tech. rep., Comp. Sci. Dept., Univ. of Trier, Trier, Ger., January 2003.Google Scholar
  17. 17.
    G. Ramalingam. Bounded Incremental Computation, volume 1089 of Lec. Notes in Comp. Sci. Springer-Verlag, 1996.Google Scholar
  18. 18.
    T. Reps. Demand interprocedural program analysis using logic databases. In R. Ramakrishnan, editor, Applications of Logic Databases. Kluwer Academic Publishers, 1994.Google Scholar
  19. 19.
    T. Reps. Solving demand versions of interprocedural analysis problems. In P. Fritzson, editor, Proceedings of the Fifth International Conference on Compiler Construction, volume 786 of Lec. Notes in Comp. Sci., pages 389–403, Edinburgh, Scotland, April 1994. Springer-Verlag.Google Scholar
  20. 20.
    T. Reps, S. Horwitz, and M. Sagiv. Precise interprocedural dataflow analysis via graph reachability. In Symp. on Princ. of Prog. Lang., pages 49–61, New York, NY, 1995. ACM Press.Google Scholar
  21. 21.
    T. Reps, M. Sagiv, and S. Horwitz. Interprocedural dataflow analysis via graph reachability. Tech. Rep. TR 94-14, Datalogisk Institut, Univ. of Copenhagen, 1994. Available at http://www.cs.wisc.edu/wpis/papers/diku-tr94-14.ps.Google Scholar
  22. 22.
    M. Sagiv, T. Reps, and S. Horwitz. Precise interprocedural dataflow analysis with applications to constant propagation. Theor. Comp. Sci., 167:131–170, 1996.zbMATHCrossRefMathSciNetGoogle Scholar
  23. 23.
    D. Schmidt. Data-flowa nalysis is model checking of abstract interpretations. In Symp. on Princ. of Prog. Lang., pages 38–48, New York, NY, January 1998. ACM Press.Google Scholar
  24. 24.
    S. Schwoon. WPDS — a library for Weighted Pushdown Systems, 2003. Available from http://www7.in.tum.de/~schwoon/moped/#wpds.Google Scholar
  25. 25.
    S. Schwoon, S. Jha, T. Reps, and S. Stubblebine. On generalized authorization problems. In Comp. Sec. Found. Workshop, Wash., DC, 2003. IEEE Comp. Soc.Google Scholar
  26. 26.
    M. Sharir and A. Pnueli. Two approaches to interprocedural data flow analysis. In S.S. Muchnick and N.D. Jones, editors, Program Flow Analysis: Theory and Applications, chapter 7, pages 189–234. Prentice-Hall, Englewood Cliffs, NJ, 1981.Google Scholar
  27. 27.
    B. Steffen. Data flow analysis as model checking. In Int. Conf. on Theor. Aspects of Comp. Softw., volume 526 of Lec. Notes in Comp. Sci., pages 346–365. Springer-Verlag, 1991.Google Scholar
  28. 28.
    B. Steffen. Generating data flow analysis algorithms from modal specifications. Sci. of Comp. Prog., 21(2):115–139, 1993.zbMATHCrossRefGoogle Scholar
  29. 29.
    D.S. Warren. Memoing for logic programs. Communications of the ACM, 35(3):93–111, March 1992.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Thomas Reps
    • 1
  • Stefan Schwoon
    • 2
  • Somesh Jha
    • 1
  1. 1.Comp. Sci. Dept.University of WisconsinUSA
  2. 2.Fakultät Inf.Universität StuttgartStuttgart

Personalised recommendations