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Abstracting an Operational Semantics to Finite Automata

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Information and Communication Technologies in Education, Research, and Industrial Applications (ICTERI 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 594))

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Abstract

There is an apparent similarity between the descriptions of small-step operational semantics of imperative programs and the semantics of finite automata, so defining an abstraction mapping from semantics to automata and proving a simulation property seems to be easy. This paper aims at identifying the reasons why simple proofs break, among them artifacts in the semantics that lead to stuttering steps in the simulation. We then present a semantics based on the zipper data structure, with a direct interpretation of evaluation as navigation in the syntax tree. The abstraction function is then defined by an equivalence class construction.

N. Baklanova and M. Strecker were partially supported by the project Verisync (ANR-10-BLAN-0310).

W. Ricciotti and J.-G. Smaus are supported by the project Ajitprop (121-AO12-1209) of the Fondation Airbus.

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References

  1. Alur, R., Courcoubetis, C., Dill, D.L.: Model-checking for real-time systems. In: LICS, pp. 414–425. IEEE Computer Society (1990)

    Google Scholar 

  2. Alur, R., Dill, D.L.: A theory of timed automata. Theor. Comput. Sci. 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  3. Appel, A.W., Blazy, S.: Separation logic for small-step cminor. In: Schneider, K., Brandt, J. (eds.) TPHOLs 2007. LNCS, vol. 4732, pp. 5–21. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Baier, C., Katoen, J.-P.: Principles of Model Checking. MIT Press, Cambridge (2008)

    MATH  Google Scholar 

  5. Baklanova, N.: Semantics and Proof Methods for a Real-Time Modeling Language. PhD thesis, Université de Toulouse (2014)

    Google Scholar 

  6. Baklanova, N., Ricciotti, W., Smaus, J.-G., Strecker, M.: Abstracting an operational semantics to finite automata (formalization) (2014). https://bitbucket.org/Martin_Strecker/abstracting_op_sem_to_automata

  7. Baklanova, N., Ricciotti, W., Smaus, J.-G., Strecker, M.: Abstracting an operational semantics to finite automata. In: Proceedings of the 11th International Conference on ICT in Education, Research and Industrial Applications: Integration, Harmonization and Knowledge Transfer, Lviv, Ukraine, 14–16 May 2015, pp. 354–365 (2015)

    Google Scholar 

  8. Baklanova, N., Strecker, M.: Abstraction and verification of properties of a real-time java. In: Ermolayev, V., Mayr, H.C., Nikitchenko, M., Spivakovsky, A., Zholtkevych, G. (eds.) ICTERI 2012. CCIS, vol. 347, pp. 1–18. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  9. Bengtsson, J.E., Yi, W.: Timed automata: semantics, algorithms and tools. In: Desel, J., Reisig, W., Rozenberg, G. (eds.) Lectures on Concurrency and Petri Nets. LNCS, vol. 3098, pp. 87–124. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Huet, G.: Functional pearl: the zipper. J. Funct. Program. 7(5), 549–554 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  11. Khoussainov, B., Nerode, A.: Automata Theory and Its Applications. Birkhauser, Boston (2001)

    Book  MATH  Google Scholar 

  12. Klein, G., Nipkow, T.: A machine-checked model for a Java-like language, virtual machine, and compiler. ACM Trans. Program. Lang. Syst. 28, 619–695 (2006)

    Article  Google Scholar 

  13. Krebbers, R., Wiedijk, F.: Separation logic for non-local control flow and block scope variables. In: Pfenning, F. (ed.) FOSSACS 2013 (ETAPS 2013). LNCS, vol. 7794, pp. 257–272. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  14. Leroy, X.: A formally verified compiler back-end. J. Autom. Reasoning 43(4), 363–446 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  15. Nipkow, T., Paulson, L., Wenzel, M.: Isabelle/HOL: A Proof Assistant for Higher-Order Logic. Lecture Notes in Computer Science, vol. 2283. Springer, Heidelberg (2002)

    Google Scholar 

  16. Winskel, G.: The Formal Semantics of Programming Languages: An Introduction. MIT Press, Cambridge (1993)

    MATH  Google Scholar 

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Correspondence to Wilmer Ricciotti .

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Baklanova, N., Ricciotti, W., Smaus, JG., Strecker, M. (2016). Abstracting an Operational Semantics to Finite Automata. In: Yakovyna, V., Mayr, H., Nikitchenko, M., Zholtkevych, G., Spivakovsky, A., Batsakis, S. (eds) Information and Communication Technologies in Education, Research, and Industrial Applications. ICTERI 2015. Communications in Computer and Information Science, vol 594. Springer, Cham. https://doi.org/10.1007/978-3-319-30246-1_7

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  • DOI: https://doi.org/10.1007/978-3-319-30246-1_7

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