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International Symposium on Formal Methods

FM 2016: FM 2016: Formal Methods pp 60–68Cite as

Compositional Parameter Synthesis

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 9995))

Abstract

We address the problem of parameter synthesis for parametric timed systems (PTS). The motivation comes from industrial configuration problems for production lines. Our method consists in compositionally generating over-approximations for the individual components of the input systems, which are translated, together with global properties, to \(\exists \forall \)SMT problems. Our translation forms the basis for optimised and robust parameter synthesis for slightly richer models than PTS.

Work supported by the European projects BEinCPPS, CPSE-labs and OpenMOS.

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Notes

  1. 1.

    Parameter constraints are conjunctions of inequalities on \(\mathcal {P}\) and \(\mathbb {R}\) such as \(q \in [0, 6]\).

  2. 2.

    The source code and examples can be found at github.com/astefano/efsmt_coverts.

References

  1. Alur, R., Henzinger, T.A., Vardi, M.Y.: Parametric real-time reasoning. In: ACM, pp. 592–601 (1993)

    Google Scholar 

  2. André, É.: IMITATOR II: a tool for solving the good parameters problem in timed automata. In: INFINITY (2010)

    Google Scholar 

  3. André, É., Soulat, R.: Synthesis of timing parameters satisfying safety properties. In: Reachability Problems (2011)

    Google Scholar 

  4. Aştefănoaei, L., Rayana, S., Bensalem, S., Bozga, M., Combaz, J.: Compositional invariant generation for timed systems. In: Ábrahám, E., Havelund, K. (eds.) TACAS 2014. LNCS, vol. 8413, pp. 263–278. Springer, Heidelberg (2014). doi:10.1007/978-3-642-54862-8_18

    Chapter  Google Scholar 

  5. Bensalem, S., Bozga, M., Sifakis, J., Nguyen, T.-H.: Compositional verification for component-based systems and application. In: Cha, S.S., Choi, J.-Y., Kim, M., Lee, I., Viswanathan, M. (eds.) ATVA 2008. LNCS, vol. 5311, pp. 64–79. Springer, Heidelberg (2008). doi:10.1007/978-3-540-88387-6_7

    Chapter  Google Scholar 

  6. Bjørner, N., Phan, A.-D., Fleckenstein, L.: \({\nu }\)Z - an optimizing SMT solver. In: Baier, C., Tinelli, C. (eds.) TACAS 2015. LNCS, vol. 9035, pp. 194–199. Springer, Heidelberg (2015). doi:10.1007/978-3-662-46681-0_14

    Google Scholar 

  7. Bruttomesso, R., Carioni, A., Ghilardi, S., Ranise, S.: Automated analysis of parametric timing-based mutual exclusion algorithms. In: Goodloe, A.E., Person, S. (eds.) NFM 2012. LNCS, vol. 7226, pp. 279–294. Springer, Heidelberg (2012). doi:10.1007/978-3-642-28891-3_28

    Chapter  Google Scholar 

  8. Cheng, C., Guelfirat, T., Messinger, C., Schmitt, J.O., Schnelte, M., Weber, P.: Semantic degrees for industrie 4.0. CoRR, abs/1505.05625 (2015)

    Google Scholar 

  9. Cheng, C., Shankar, N., Ruess, H., Bensalem, S.: EFSMT: a logical framework for cyber-physical systems. CoRR, abs/1306.3456 (2013)

    Google Scholar 

  10. Cimatti, A., Griggio, A., Mover, S., Tonetta, S.: Parameter synthesis with IC3. In: FMCAD, pp. 165–168. IEEE (2013)

    Google Scholar 

  11. Courcoubetis, C., Yannakakis, M.: Minimum and maximum delay problems in real-time systems. Formal Methods Syst. Des. 1, 385 (1992)

    Article  MATH  Google Scholar 

  12. Damm, W., Ihlemann, C., Sofronie-Stokkermans, V.: Ptime parametric verification of safety properties for reasonable linear hybrid automata. Math. Comput. Sci. 5(4), 469 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. Dang, T., Dreossi, T., Piazza, C.: Parameter synthesis through temporal logic specifications. In: Bjørner, N., de Boer, F. (eds.) FM 2015. LNCS, vol. 9109, pp. 213–230. Springer, Heidelberg (2015). doi:10.1007/978-3-319-19249-9_14

    Chapter  Google Scholar 

  14. Donzé, A.: Breach, a toolbox for verification and parameter synthesis of hybrid systems. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol. 6174, pp. 167–170. Springer, Heidelberg (2010). doi:10.1007/978-3-642-14295-6_17

    Chapter  Google Scholar 

  15. Faber, J., Ihlemann, C., Jacobs, S., Sofronie-Stokkermans, V.: Automatic verification of parametric specifications with complex topologies. In: Méry, D., Merz, S. (eds.) IFM 2010. LNCS, vol. 6396, pp. 152–167. Springer, Heidelberg (2010). doi:10.1007/978-3-642-16265-7_12

    Chapter  Google Scholar 

  16. Finkbeiner, B., Schewe, S.: Bounded synthesis. STTT 15(5–6), 519–539 (2013)

    Article  MATH  Google Scholar 

  17. Frehse, G., Jha, S.K., Krogh, B.H.: A counterexample-guided approach to parameter synthesis for linear hybrid automata. In: Egerstedt, M., Mishra, B. (eds.) HSCC 2008. LNCS, vol. 4981, pp. 187–200. Springer, Heidelberg (2008). doi:10.1007/978-3-540-78929-1_14

    Chapter  Google Scholar 

  18. Fribourg, L., Kühne, U.: Parametric verification and test coverage for hybrid automata using the inverse method. Int. J. Found. Comput. Sci. 24, 233 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  19. Henzinger, T.A., Wong-Toi, H.: Using HyTech to synthesize control parameters for a steam boiler. In: FMIA (1995)

    Google Scholar 

  20. Hune, T., Romijn, J., Stoelinga, M., Vaandrager, F.W.: Linear parametric model checking of timed automata. J. Log. Algebr. Program. 52, 183 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  21. Jovanović, A., Lime, D., Roux, O.H.: Integer parameter synthesis for timed automata. In: Piterman, N., Smolka, S.A. (eds.) TACAS 2013. LNCS, vol. 7795, pp. 401–415. Springer, Heidelberg (2013). doi:10.1007/978-3-642-36742-7_28

    Chapter  Google Scholar 

  22. Legay, A., Bensalem, S., Boyer, B., Bozga, M.: Incremental generation of linear invariants for component-based systems. In: ACSD (2013)

    Google Scholar 

  23. Moura, L., Bjørner, N.: Efficient e-matching for SMT solvers. In: Pfenning, F. (ed.) CADE 2007. LNCS (LNAI), vol. 4603, pp. 183–198. Springer, Heidelberg (2007). doi:10.1007/978-3-540-73595-3_13

    Chapter  Google Scholar 

  24. Moura, L., Rueß, H., Sorea, M.: Lazy theorem proving for bounded model checking over infinite domains. In: Voronkov, A. (ed.) CADE 2002. LNCS (LNAI), vol. 2392, pp. 438–455. Springer, Heidelberg (2002). doi:10.1007/3-540-45620-1_35

    Chapter  Google Scholar 

  25. Sofronie-Stokkermans, V.: Hierarchical reasoning for the verification of parametric systems. In: Giesl, J., Hähnle, R. (eds.) IJCAR 2010. LNCS (LNAI), vol. 6173, pp. 171–187. Springer, Heidelberg (2010). doi:10.1007/978-3-642-14203-1_15

    Chapter  Google Scholar 

  26. Wang, F.: Symbolic parametric safety analysis of linear hybrid systems with BDD-like data-structures. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 295–307. Springer, Heidelberg (2004). doi:10.1007/978-3-540-27813-9_23

    Chapter  Google Scholar 

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Acknowlegdement

We warmly thank Étienne André for suggesting us the construction of the observer to compute the separations in Sect. 3.

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Authors and Affiliations

  1. fortiss - An-Institut Technische Universität München, Munich, Germany

    Lacramioara Aştefănoaei, Chih-Hong Cheng & Harald Ruess

  2. Univ. Grenoble Alpes, VERIMAG, 38000, Grenoble, France

    Saddek Bensalem & Marius Bozga

Authors
  1. Lacramioara Aştefănoaei
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  2. Saddek Bensalem
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  3. Marius Bozga
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  4. Chih-Hong Cheng
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  5. Harald Ruess
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Corresponding author

Correspondence to Lacramioara Aştefănoaei .

Editor information

Editors and Affiliations

  1. Newcastle University, Newcastle upon Tyne, United Kingdom

    John Fitzgerald

  2. US Naval Research Laboratory, Washington, District of Columbia, USA

    Constance Heitmeyer

  3. ISTI-CNR, Pisa, Italy

    Stefania Gnesi

  4. University of Cyprus, Nicosia, Cyprus

    Anna Philippou

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Aştefănoaei, L., Bensalem, S., Bozga, M., Cheng, CH., Ruess, H. (2016). Compositional Parameter Synthesis. In: Fitzgerald, J., Heitmeyer, C., Gnesi, S., Philippou, A. (eds) FM 2016: Formal Methods. FM 2016. Lecture Notes in Computer Science(), vol 9995. Springer, Cham. https://doi.org/10.1007/978-3-319-48989-6_4

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  • DOI: https://doi.org/10.1007/978-3-319-48989-6_4

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  • Online ISBN: 978-3-319-48989-6

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