Abstract
We address the verification of timed concurrent systems with unknown or uncertain constants considered as parameters. First, we introduce parametric event-recording automata (PERAs), as a new subclass of parametric timed automata (PTAs). Although in the non-parametric setting event-recording automata yield better decidability results than timed automata, we show that the most common decision problem remains undecidable for PERAs. Then, given one set of components with parameters and one without, we propose a method to compute an abstraction of the non-parametric set of components, so as to improve the verification of reachability properties in the full (parametric) system. We also show that our method can be extended to general PTAs. We implemented our method, which shows promising results.
This work is partially supported by the ANR national research program “PACS” (ANR-14-CE28-0002).
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Sources, binaries, models and results are available at imitator.fr/static/FORTE17.
References
Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: a determinizable class of timed automata. Theoret. Comput. Sci. 211(1–2), 253–273 (1999)
Alur, R., Henzinger, T.A., Vardi, M.Y.: Parametric real-time reasoning. In: STOC, pp. 592–601. ACM (1993)
André, É.: What’s decidable about parametric timed automata? In: Artho, C., Ölveczky, P.C. (eds.) FTSCS 2015. CCIS, vol. 596, pp. 52–68. Springer, Cham (2016). doi:10.1007/978-3-319-29510-7_3
André, É., Chatain, T., Encrenaz, E., Fribourg, L.: An inverse method for parametric timed automata. IJFCS 20(5), 819–836 (2009)
André, É., Fribourg, L., Kühne, U., Soulat, R.: IMITATOR 2.5: a tool for analyzing robustness in scheduling problems. In: Giannakopoulou, D., Méry, D. (eds.) FM 2012. LNCS, vol. 7436, pp. 33–36. Springer, Heidelberg (2012). doi:10.1007/978-3-642-32759-9_6
André, É., Lime, D., Roux, O.H.: Decision problems for parametric timed automata. In: Ogata, K., Lawford, M., Liu, S. (eds.) ICFEM 2016. LNCS, vol. 10009, pp. 400–416. Springer, Cham (2016). doi:10.1007/978-3-319-47846-3_25
André, É., Lipari, G., Nguyen, H.G., Sun, Y.: Reachability preservation based parameter synthesis for timed automata. In: Havelund, K., Holzmann, G., Joshi, R. (eds.) NFM 2015. LNCS, vol. 9058, pp. 50–65. Springer, Cham (2015). doi:10.1007/978-3-319-17524-9_5
André, É., Markey, N.: Language preservation problems in parametric timed automata. In: Sankaranarayanan, S., Vicario, E. (eds.) FORMATS 2015. LNCS, vol. 9268, pp. 27–43. Springer, Cham (2015). doi:10.1007/978-3-319-22975-1_3
Aştefănoaei, L., Bensalem, S., Bozga, M., Cheng, C.-H., Ruess, H.: Compositional parameter synthesis. In: Fitzgerald, J., Heitmeyer, C., Gnesi, S., Philippou, A. (eds.) FM 2016. LNCS, vol. 9995, pp. 60–68. Springer, Cham (2016). doi:10.1007/978-3-319-48989-6_4
Cobleigh, J.M., Avrunin, G.S., Clarke, L.A.: Breaking up is hard to do: an evaluation of automated assume-guarantee reasoning. TOSEM 17(2), 7:1–7:52 (2008)
Cobleigh, J.M., Giannakopoulou, D., PĂsĂreanu, C.S.: Learning assumptions for compositional verification. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 331–346. Springer, Heidelberg (2003). doi:10.1007/3-540-36577-X_24
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
Hune, T., Romijn, J., Stoelinga, M., Vaandrager, F.W.: Linear parametric model checking of timed automata. JLAP 52–53, 183–220 (2002)
Jovanović, A., Lime, D., Roux, O.H.: Integer parameter synthesis for timed automata. Trans. Softw. Eng. 41(5), 445–461 (2015)
Lin, S.W., André, É., Liu, Y., Sun, J., Dong, J.S.: Learning assumptions for compositional verification of timed systems. TSE 40(2), 137–153 (2014)
Acknowledgment
We warmly thank Lăcrămioara Aştefănoaei for her appreciated help with installing and using the prototype tool of [9].
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André, É., Lin, SW. (2017). Learning-Based Compositional Parameter Synthesis for Event-Recording Automata. In: Bouajjani, A., Silva, A. (eds) Formal Techniques for Distributed Objects, Components, and Systems. FORTE 2017. Lecture Notes in Computer Science(), vol 10321. Springer, Cham. https://doi.org/10.1007/978-3-319-60225-7_2
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DOI: https://doi.org/10.1007/978-3-319-60225-7_2
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