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Ranking Abstraction of Recursive Programs

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Verification, Model Checking, and Abstract Interpretation (VMCAI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3855))

Abstract

We present a method for model-checking of safety and liveness properties over procedural programs, by combining state and ranking abstractions with procedure summarization. Our abstraction is an augmented finitary abstraction [KP00,BPZ05], meaning that a concrete procedural program is first augmented with a well founded ranking function, and then abstracted by a finitary state abstraction. This results in a procedural abstract program with strong fairness requirements which is then reduced to a finite-state fair discrete system (fds) using procedure summarization. This fds is then model checked for the property.

This research was supported in part by NSF grant CCR-0205571, ONR grant N00014-99-1-0131, and SRC grant 2004-TJ-1256.

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References

  1. Alur, R., Benedikt, M., Etessami, K., Godefroid, P., Reps, T.W., Yannakakis, M.: Analysis of recursive state machines. ACM Trans. Program. Lang. Syst. 27(4), 786–818 (2005)

    Article  Google Scholar 

  2. Alur, R., Etessami, K., Madhusudan, P.: A temporal logic of nested calls and returns. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 467–481. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Alur, R., Chaudhuri, S., Etessami, K., Madhusudan, P.: On-the-fly reachability and cycle detection for recursive state machines. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 61–76. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Alur, R., Etessami, K., Yannakakis, M.: Analysis of recursive state machines. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, pp. 207–220. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Balaban, I., Pnueli, A., Zuck, L.D.: Shape analysis by predicate abstraction. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol. 3385, pp. 164–180. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  6. Ball, T., Rajamani, S.K.: Bebop: A symbolic model checker for boolean programs. In: Havelund, K., Penix, J., Visser, W. (eds.) SPIN 2000. LNCS, vol. 1885, pp. 113–130. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Graf, S., Saïdi, H.: Construction of abstract state graphs with PVS. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 72–83. Springer, Heidelberg (1997)

    Google Scholar 

  8. Kesten, Y., Pnueli, A.: Verification by augmented finitary abstraction. Information and Computation 163(1), 203–243 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kesten, Y., Pnueli, A., Raviv, L.: Algorithmic verification of linear temporal logic specifications. In: Y. Vardi, M. (ed.) CAV 1998. LNCS, vol. 1427, pp. 1–16. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  10. Podelski, A., Schaefer, I., Wagner, S.: Summaries for while programs with recursion. In: Sagiv, M. (ed.) ESOP 2005. LNCS, vol. 3444, pp. 94–107. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Rehof, J., Qadeer, S.: Context-bounded model checking of concurrent software. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 93–107. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  12. Shahar, E.: The TLV Manual (2000), http://www.cs.nyu.edu/acsys/tlv

  13. Sharir, M., Pnueli, A.: Two approaches to inter-procedural data-flow analysis. In: Jones, Muchnik (eds.) Program Flow Analysis: Theory and Applications. Prentice-Hall, Englewood Cliffs (1981)

    Google Scholar 

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Balaban, I., Cohen, A., Pnueli, A. (2005). Ranking Abstraction of Recursive Programs. In: Emerson, E.A., Namjoshi, K.S. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2006. Lecture Notes in Computer Science, vol 3855. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11609773_18

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  • DOI: https://doi.org/10.1007/11609773_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31139-3

  • Online ISBN: 978-3-540-31622-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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