Abstract
We discuss what kind of completeness guarantees can be provided by semi-algorithms for the synthesis of the set of parameters under which a parametric timed automata meets some liveness property.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
The full version of this paper will be presented at TACAS [3].
References
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? Int. J. Softw. Tools Technol. Transfer 21, 203–219 (2019)
André, É., Arias, J., Petrucci, L., van de Pol, J.: Iterative bounded synthesis for efficient cycle detection. In: Groote, J.F., Larsen, K.G. (eds.) TACAS (Part I). Lecture Notes in Computer Science, vol. 12651, pp. 311–329. Springer, Heidelberg (2021)
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). https://doi.org/10.1007/978-3-642-32759-9_6
André, É., Knapik, M., Lime, D., Penczek, W., Petrucci, L.: Parametric verification: an introduction. Trans. Petri Nets Other Model. Concurr. 14, 64–100 (2019)
André, É., Lime, D.: Liveness in L/U-parametric timed automata. In ACSD, pp. 9–18. IEEE Computer Society (2017)
André, É., Lime, D., Roux, O.H.: Integer-complete synthesis for bounded parametric timed automata. In: Bojańczyk, M., Lasota, S., Potapov, I. (eds.) RP 2015. LNCS, vol. 9328, pp. 7–19. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-24537-9_2
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)
Bezdek, P., Benes, N., Barnat, J., Cerná, I.: LTL parameter synthesis of parametric timed automata. In Software Engineering and Formal Methods - 14th International Conference, SEFM 2016, Proceedings, pp. 172–187 (2016)
Bozzelli, L., La Torre, S.: Decision problems for lower/upper bound parametric timed automata. Formal Methods Syst. Des. 35(2), 121–151 (2009)
Courcoubetis, C., Vardi, M.Y., Wolper, P., Yannakakis, M.: Memory-efficient algorithms for the verification of temporal properties. Formal Methods Syst. Des. 1(2/3), 275–288 (1992)
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). https://doi.org/10.1007/BFb0054180
Hune, T., Romijn, J., Stoelinga, M., Vaandrager, F.W.: Linear parametric model checking of timed automata. J. Log. Algebr. Program. 52–53, 183–220 (2002)
Laarman, A.W., Olesen, M.C., Dalsgaard, A.E., Larsen, K.G., van de Pol, J.C.: Multi-core emptiness checking of timed Büchi automata using inclusion abstraction. In: Computer Aided Verification (CAV’13), pp. 968–983 (2013)
Nguyen, H.G., Petrucci, L., van de Pol, J.: Layered and Collecting NDFS with Subsumption for parametric timed automata. In: Lin, A.W., Sun, J. (eds.) 23rd IEEE IC on Engineering of Complex Computer Systems (ICECCS 2018), Melbourne, Australia, pp. 1–9. IEEE (2018)
Acknowledgement
This work was supported by travel grants PAMPAS (Van Gogh programme, Campus France & NUFFIC), TrAVAIL (CNRS-INS2I), and SECReTS (Institut Français Danemark). We thank Étienne André and Jaime Arias for interesting discussions, and for their help with the integration of our algorithms in the Imitator tool.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
van de Pol, J., Petrucci, L. (2021). On Completeness of Liveness Synthesis for Parametric Timed Automata (Extended Abstract). In: Roggenbach, M. (eds) Recent Trends in Algebraic Development Techniques. WADT 2020. Lecture Notes in Computer Science(), vol 12669. Springer, Cham. https://doi.org/10.1007/978-3-030-73785-6_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-73785-6_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-73784-9
Online ISBN: 978-3-030-73785-6
eBook Packages: Computer ScienceComputer Science (R0)