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Parametric Modal Transition Systems

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6996))

Abstract

Modal transition systems (MTS) is a well-studied specification formalism of reactive systems supporting a step-wise refinement methodology. Despite its many advantages, the formalism as well as its currently known extensions are incapable of expressing some practically needed aspects in the refinement process like exclusive, conditional and persistent choices. We introduce a new model called parametric modal transition systems (PMTS) together with a general modal refinement notion that overcome many of the limitations and we investigate the computational complexity of modal refinement checking.

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References

  1. Antonik, A., Huth, M., Larsen, K.G., Nyman, U., Wasowski, A.: 20 years of modal and mixed specifications. Bulletin of the EATCS, vol. 95, pp. 94–129 (2008)

    Google Scholar 

  2. Balcazar, J.L., Gabarró, J., Santha, M.: Deciding bisimilarity is P-complete. Formal Aspects of Computing 4(6A), 638–648 (1992)

    Article  MATH  Google Scholar 

  3. Beneš, N., Křetínský, J., Larsen, K.G., Møller, M.H., Srba, J.: Parametric modal transition systems. Technical report FIMU-RS-2011-03, Faculty of Informatics, Masaryk University, Brno (2011)

    Google Scholar 

  4. Beneš, N., Křetínský, J.: Process algebra for modal transition systemses. In: Matyska, L., Kozubek, M., Vojnar, T., Zemcík, P., Antos, D. (eds.) MEMICS. OASICS, vol. 16, pp. 9–18. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany (2010)

    Google Scholar 

  5. Boudol, G., Larsen, K.G.: Graphical versus logical specifications. Theor. Comput. Sci. 106(1), 3–20 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  6. Fecher, H., Schmidt, H.: Comparing disjunctive modal transition systems with an one-selecting variant. J. of Logic and Alg. Program. 77(1-2), 20–39 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Godefroid, P., Huth, M., Jagadeesan, R.: Abstraction-based model checking using modal transition systems. In: Larsen, K.G., Nielsen, M. (eds.) CONCUR 2001. LNCS, vol. 2154, pp. 426–440. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  8. Gruler, A., Leucker, M., Scheidemann, K.D.: Modeling and model checking software product lines. In: Barthe, G., de Boer, F.S. (eds.) FMOODS 2008. LNCS, vol. 5051, pp. 113–131. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Huth, M., Jagadeesan, R., Schmidt, D.A.: Modal transition systems: A foundation for three-valued program analysis. In: Sands, D. (ed.) ESOP 2001. LNCS, vol. 2028, pp. 155–169. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Larsen, K.G., Nyman, U., Wąsowski, A.: On modal refinement and consistency. In: Caires, L., Vasconcelos, V.T. (eds.) CONCUR 2007. LNCS, vol. 4703, pp. 105–119. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  11. Larsen, K.G., Thomsen, B.: A modal process logic. In: LICS, pp. 203–210. IEEE Computer Society, Los Alamitos (1988)

    Google Scholar 

  12. Larsen, K.G., Xinxin, L.: Equation solving using modal transition systems. In: LICS, pp. 108–117. IEEE Computer Society, Los Alamitos (1990)

    Google Scholar 

  13. Nanz, S., Nielson, F., Riis Nielson, H.: Modal abstractions of concurrent behaviour. In: Alpuente, M., Vidal, G. (eds.) SAS 2008. LNCS, vol. 5079, pp. 159–173. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Papadimitriou, C.H.: Computational complexity. Addison-Wesley Publishing Co., Inc., Reading (1994)

    MATH  Google Scholar 

  15. Raclet, J.B., Badouel, E., Benveniste, A., Caillaud, B., Passerone, R.: Why are modalities good for interface theories? In: ACSD, pp. 119–127. IEEE, Los Alamitos (2009)

    Google Scholar 

  16. Sawa, Z., Jančar, P.: Behavioural equivalences on finite-state systems are PTIME-hard. Computing and Informatics 24(5), 513–528 (2005)

    MathSciNet  MATH  Google Scholar 

  17. Uchitel, S., Chechik, M.: Merging partial behavioural models. In: FSE 2004, pp. 43–52. ACM, New York (2004)

    Google Scholar 

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Beneš, N., Křetínský, J., Larsen, K.G., Møller, M.H., Srba, J. (2011). Parametric Modal Transition Systems. In: Bultan, T., Hsiung, PA. (eds) Automated Technology for Verification and Analysis. ATVA 2011. Lecture Notes in Computer Science, vol 6996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24372-1_20

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  • DOI: https://doi.org/10.1007/978-3-642-24372-1_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24371-4

  • Online ISBN: 978-3-642-24372-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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