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K-Induction Based Verification of Real-Time Safety Critical Systems

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Book cover New Results in Dependability and Computer Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 224))

Abstract

Nowadays, safety critical systems are often complex, real-time systems requiring formal methods to prove the correctness of their behavior. This work presents a framework that supports modeling and model checking such systems. We adapted an existing formalism to provide better modeling and model checking support. Using this formalism, we extended a k-induction based model checking approach: we defined a procedure to handle both safety and liveness properties, and developed methods to find invariants. We implemented a toolchain for this workflow and evaluated our methods in an industrial case study.

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References

  1. Alur, R., Dill, D.L.: A theory of timed automata. Theoretical Computer Science 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bergmann, G., Horváth, Á., Ráth, I., Varró, D., Balogh, A., Balogh, Z., Ökrös, A.: Incremental Evaluation of Model Queries over EMF Models. In: Petriu, D.C., Rouquette, N., Haugen, Ø. (eds.) MODELS 2010, Part I. LNCS, vol. 6394, pp. 76–90. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  3. Biere, A., Cimatti, A., Clarke, E., Zhu, Y.: Symbolic Model Checking without BDDs. In: Cleaveland, W.R. (ed.) TACAS 1999. LNCS, vol. 1579, p. 193. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  4. Biere, A., Artho, C., Schuppan, V.: Liveness Checking as Safety Checking. In: FMICS 2002 (2002)

    Google Scholar 

  5. Claessen, K., Sorensson, N.: A Liveness Checking Algorithm That Counts. In: FMCAD 2012 (2012)

    Google Scholar 

  6. Dutertre, B., Sorea, M.: Modeling and Verification of a Fault-Tolerant Real-time Startup Protocol using Calendar Automata. In: FORMATS-FTRTFT 2004 (2004)

    Google Scholar 

  7. Kindermann, R., Junttila, T., Niemelä, I.: Complete SMT-Based Bounded Model Checking for Timed Automata. In: FMOODS/FORTE 2012 (2012)

    Google Scholar 

  8. de Moura, L., Owre, S., Shankar, N.: The SAL Language Manual. CSL Technical Report SRI-CSL-01-02 (2003)

    Google Scholar 

  9. Pike, L.: Real-Time System Verification by k-Induction. NASA Technical Memorandum TM-2005-213751 (2005)

    Google Scholar 

  10. Sheeran, M., Singh, S., Stålmarck, G.: Checking Safety Properties Using Induction and a SAT-Solver. In: Johnson, S.D., Hunt Jr., W.A. (eds.) FMCAD 2000. LNCS, vol. 1954, pp. 108–125. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  11. Vardi, M.Y.: An automata-theoretic approach to linear temporal logic. In: Moller, F., Birtwistle, G. (eds.) Logics for Concurrency. LNCS, vol. 1043, pp. 238–266. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

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Correspondence to Tamás Tóth .

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Tóth, T., Vörös, A., Majzik, I. (2013). K-Induction Based Verification of Real-Time Safety Critical Systems. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) New Results in Dependability and Computer Systems. Advances in Intelligent Systems and Computing, vol 224. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00945-2_43

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