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Liveness Reasoning with Isabelle/HOL

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Theorem Proving in Higher Order Logics (TPHOLs 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5674))

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Abstract

This paper describes an extension of Paulson’s inductive protocol verification approach for liveness reasoning. The extension requires no change of the system model underlying the original inductive approach. Therefore, all the advantages, which makes Paulson’s approach successful for safety reasoning are kept, while liveness reasoning becomes possible. To simplify liveness reasoning, a new fairness notion, named Parametric Fairness is used instead of the standard ones. A probabilistic model is established to support this new fairness notion. Experiments with small examples as well as real world communication protocols confirm the practicality of the extension. All the work has been formalized with Isabelle/HOL using Isar.

This research was funded by 863 Program(2007AA01Z409) and NNSFC(60373068) of China.

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References

  1. Paulson, L.C.: The inductive approach to verifying cryptographic protocols. Journal of Computer Security 6(1-2), 85–128 (1998)

    Article  Google Scholar 

  2. Paulson, L.C.: Inductive analysis of the Internet protocol TLS. ACM Transactions on Computer and System Security 2(3), 332–351 (1999)

    Article  Google Scholar 

  3. Manna, Z., Pnueli, A.: Completing the temporal picture. Theor. Comput. Sci. 83(1), 91–130 (1991)

    Article  MATH  Google Scholar 

  4. Pnueli, A., Zuck, L.D.: Probabilistic verification. Information and Computation 103(1), 1–29 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  5. Baier, C., Kwiatkowska, M.: On the verification of qualitative properties of probabilistic processes under fairness constraints. Information Processing Letters 66(2), 71–79 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  6. Jaeger, M.: Fairness, computable fairness and randomness. In: Proc. 2nd International Workshop on Probabilistic Methods in Verification (1999)

    Google Scholar 

  7. Yang, H., Zhang, X., Wang, Y.: Liveness proof of an elevator control system. In: The ‘Emerging Trend’ of TPHOLs, Oxford University Computing Lab. PRG-RR-05-02, pp. 190–204 (2005)

    Google Scholar 

  8. Yang, H., Zhang, X., Wang, Y.: A correctness proof of the srp protocol. In: 20th International Parallel and Distributed Processing Symposium (IPDPS 2006), Proceedings, Rhodes Island, Greece, April 25-29 (2006)

    Google Scholar 

  9. Yang, H., Zhang, X., Wang, Y.: A correctness proof of the dsr protocol. In: Cao, J., Stojmenovic, I., Jia, X., Das, S.K. (eds.) MSN 2006. LNCS, vol. 4325, pp. 72–83. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Nipkow, T., Paulson, L.C., Wenzel, M.: Isabelle/HOL — A Proof Assistant for Higher-Order Logic. LNCS, vol. 2283. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  11. Wenzel, M.: Isar - a generic interpretative approach to readable formal proof documents. In: Nipkow, T., Paulson, L.C., Wenzel, M.T. (eds.) Isabelle/HOL. LNCS, vol. 2283. Springer, Heidelberg (2002)

    Google Scholar 

  12. Pnueli, A.: On the extremely fair treatment of probabilistic algorithms. In: Proceedings of the fifteenth annual ACM symposium on Theory of computing, pp. 278–290. ACM Press, New York (1983)

    Google Scholar 

  13. Zhang, X., Yang, H., Wang, Y.: Liveness reasoning for inductive protocol verification. In: The ‘Emerging Trend’ of TPHOLs, Oxford University Computing Lab. PRG-RR-05-02, pp. 221–235 (2005)

    Google Scholar 

  14. Hurd, J.: Formal Verification of Probabilistic Algorithms. Ph.D thesis, University of Cambridge (2002)

    Google Scholar 

  15. Richter, S.: Formlizing integration theory with an application to probabilistic algorithms. In: Slind, K., Bunker, A., Gopalakrishnan, G.C. (eds.) TPHOLs 2004. LNCS, vol. 3223, pp. 271–286. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  16. Pnueli, A.: On the extremely fair treatment of probabilistic algorithms. In: ACM (ed.) Proceedings of the 15th annual ACM Symposium on Theory of Computing, Boston, Massachusetts, April 25–27, pp. 278–290. ACM Press, New York (1983)

    Google Scholar 

  17. Wang, J., Zhang, X., Zhang, Y., Yang, H.: A probabilistic model for parametric fairness in isabelle/hol. Technical Report 364/07, Department of Computer Science, University of Kaiserslautern (2007)

    Google Scholar 

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Wang, J., Yang, H., Zhang, X. (2009). Liveness Reasoning with Isabelle/HOL. In: Berghofer, S., Nipkow, T., Urban, C., Wenzel, M. (eds) Theorem Proving in Higher Order Logics. TPHOLs 2009. Lecture Notes in Computer Science, vol 5674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03359-9_33

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  • DOI: https://doi.org/10.1007/978-3-642-03359-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03358-2

  • Online ISBN: 978-3-642-03359-9

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