Abstract
The parameter synthesis problem for parametric timed automata is undecidable in general even for very simple reachability properties. In this paper we introduce restrictions on parameter valuations under which the parameter synthesis problem is decidable for LTL properties. The investigated bounded integer parameter synthesis problem could be solved using an explicit enumeration of all possible parameter valuations. We propose an alternative symbolic zone-based method for this problem which results in a faster computation. Our technique extends the ideas of the automata-based approach to LTL model checking of timed automata. To justify the usefulness of our approach, we provide experimental evaluation and compare our method with explicit enumeration technique.
N. Beneš—The author has been supported by the Czech Science Foundation grant no. GA15-11089S.
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References
Clarke, E., Grumberg, O., Peled, D.: Model Checking. MIT Press, Cambridge (1999)
Alur, R., Dill, D.L.: A theory of timed automata. Theoret. Comput. Sci. 126(2), 183–235 (1994)
Daws, C., Tripakis, S.: Model checking of real-time reachability properties using abstractions. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 313–329. Springer, Heidelberg (1998)
Behrmann, G., David, A., Larsen, K.G., Hakansson, J., Petterson, P., Yi, W., Hendriks, M.: Uppaal 4.0. In: QEST, pp. 125–126. IEEE (2006)
Alur, R., Henzinger, T.A., Vardi, M.Y.: Parametric real-time reasoning. In: Proceedings of the Twenty-Fifth Annual ACM Symposium on Theory of Computing, pp. 592–601. ACM (1993)
Miller, J.S.: Decidability and complexity results for timed automata and semi-linear hybrid automata. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol. 1790, p. 296. Springer, Heidelberg (2000)
Beneš, N., Bezděk, P., Larsen, K.G., Srba, J.: Language emptiness of continuous-time parametric timed automata. In: Halldórsson, M.M., Iwama, K., Kobayashi, N., Speckmann, B. (eds.) ICALP 2015. LNCS, vol. 9135, pp. 69–81. Springer, Heidelberg (2015)
Hune, T., Romijn, J., Stoelinga, M., Vaandrager, F.: Linear parametric model checking of timed automata. J. Logic Algebraic Programm. 52, 183–220 (2002)
Bozzelli, L., La Torre, S.: Decision problems for lower/upper bound parametric timed automata. Formal Methods Syst. Des. 35(2), 121–151 (2009)
Jovanovic, A., Lime, D., Roux, O.H.: Integer parameter synthesis for real-time systems. IEEE Trans. Softw. Eng. 41(5), 445–461 (2015)
Tripakis, S., Yovine, S., Bouajjani, A.: Checking timed büchi automata emptiness efficiently. Formal Methods Syst. Des. 26(3), 267–292 (2005)
Dill, D.L.: Timing assumptions and verification of finite-state concurrent systems. In: Sifakis, J. (ed.) Automatic Verification Methods for Finite State Systems. LNCS, vol. 407, pp. 197–212. Springer, Heidelberg (1990)
Bouyer, P.: Forward analysis of updatable timed automata. Formal Methods Syst. Des. 24(3), 281–320 (2004)
Behrmann, G., Bouyer, P., Larsen, K.G., Pelánek, R.: Lower and upper bounds in zone-based abstractions of timed automata. Int. J. Softw. Tools Technol. Transf. 8(3), 204–215 (2006)
Li, G.: Checking timed Büchi automata emptiness using LU-abstractions. In: Ouaknine, J., Vaandrager, F.W. (eds.) FORMATS 2009. LNCS, vol. 5813, pp. 228–242. Springer, Heidelberg (2009)
Bezděk, P., Beneš, N., Barnat, J., Černá, I.: LTL parameter synthesis of parametric timed automata. CoRR abs/1409.3696 (2016)
Courcoubetis, C., Vardi, M., Wolper, P., Yannakakis, M.: Memory-efficient algorithms for the verification of temporal properties. In: Clarke, E.M., Kurshan, R.P. (eds.) CAV. LNCS, vol. 531, pp. 233–242. Springer, Heidelberg (1992)
Bagnara, R., Hill, P.M., Zaffanella, E.: The parma polyhedra library: toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems. Sci. Comput. Programm. 72(1–2), 3–21 (2008)
Gastin, P., Oddoux, D.: Fast LTL to Büchi automata translation. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, p. 53. Springer, Heidelberg (2001)
Behrmann, G., David, A., Larsen, K.G.: A tutorial on Uppaal. In: Bernardo, M., Corradini, F. (eds.) SFM-RT 2004. LNCS, vol. 3185, pp. 200–236. Springer, Heidelberg (2004)
Bezděk, P., Beneš, N., Havel, V., Barnat, J., Černá, I.: On clock-aware LTL properties of timed automata. In: Ciobanu, G., Méry, D. (eds.) ICTAC 2014. LNCS, vol. 8687, pp. 43–60. Springer, Heidelberg (2014)
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Bezděk, P., Beneš, N., Barnat, J., Černá, I. (2016). LTL Parameter Synthesis of Parametric Timed Automata. In: De Nicola, R., Kühn, E. (eds) Software Engineering and Formal Methods. SEFM 2016. Lecture Notes in Computer Science(), vol 9763. Springer, Cham. https://doi.org/10.1007/978-3-319-41591-8_12
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