Abstract
Despite many recent advances, reactive synthesis is still not really a practical technique. The grand challenge is to scale from small transition systems, where synthesis performs well, to complex multi-component designs. Compositional methods, such as the construction of dominant strategies for individual components, reduce the complexity significantly, but are usually not applicable without extensively rewriting the specification. In this paper, we present a refinement of compositional synthesis that does not require such an intervention. Our algorithm decomposes the system into a sequence of components, such that every component has a strategy that is dominant, i.e., performs at least as good as any possible alternative, provided that the preceding components follow their (already synthesized) strategies. The decomposition of the system is based on a dependency analysis, for which we provide semantic and syntactic techniques. We establish the soundness and completeness of the approach and report on encouraging experimental results.
This work was partially supported by the German Research Foundation (DFG) as part of the Collaborative Research Center “Foundations of Perspicuous Software Systems” (TRR 248, 389792660), and by the European Research Council (ERC) Grant OSARES (No. 683300).
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References
Baier, C., Klein, J., Klüppelholz, S.: A compositional framework for controller synthesis. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 512–527. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23217-6_34
Clarkson, M.R., Schneider, F.B.: Hyperproperties. J. Comput. Secur. 18(6), 1157–1210 (2010). https://doi.org/10.3233/JCS-2009-0393
Damm, W., Finkbeiner, B.: Does it pay to extend the perimeter of a world model? In: Butler, M., Schulte, W. (eds.) FM 2011. LNCS, vol. 6664, pp. 12–26. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21437-0_4
Damm, W., Finkbeiner, B.: Automatic compositional synthesis of distributed systems. In: Jones, C., Pihlajasaari, P., Sun, J. (eds.) FM 2014. LNCS, vol. 8442, pp. 179–193. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-06410-9_13
Faymonville, P., Finkbeiner, B., Rabe, M.N., Tentrup, L.: Encodings of bounded synthesis. In: Legay, A., Margaria, T. (eds.) TACAS 2017. LNCS, vol. 10205, pp. 354–370. Springer, Heidelberg (2017). https://doi.org/10.1007/978-3-662-54577-5_20
Faymonville, P., Finkbeiner, B., Tentrup, L.: BoSy: an experimentation framework for bounded synthesis. In: Majumdar, R., Kunčak, V. (eds.) CAV 2017. LNCS, vol. 10427, pp. 325–332. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-63390-9_17
Filiot, E., Jin, N., Raskin, J.-F.: Compositional algorithms for LTL synthesis. In: Bouajjani, A., Chin, W.-N. (eds.) ATVA 2010. LNCS, vol. 6252, pp. 112–127. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-15643-4_10
Finkbeiner, B., Passing, N.: Dependency-based compositional synthesis (Full Version). CoRR abs/2007.06941 (2020)
Finkbeiner, B., Schewe, S.: Semi-automatic distributed synthesis. In: Peled, D.A., Tsay, Y.-K. (eds.) ATVA 2005. LNCS, vol. 3707, pp. 263–277. Springer, Heidelberg (2005). https://doi.org/10.1007/11562948_21
Finkbeiner, B., Schewe, S.: Bounded synthesis. STTT (2013). https://doi.org/10.1007/s10009-012-0228-z
Jacobs, S., et al.: The 5th reactive synthesis competition (SYNTCOMP 2018): benchmarks, participants & results. CoRR abs/1904.07736 (2019)
Kugler, H., Segall, I.: Compositional synthesis of reactive systems from live sequence chart specifications. In: Kowalewski, S., Philippou, A. (eds.) TACAS 2009. LNCS, vol. 5505, pp. 77–91. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00768-2_9
Kupferman, O., Piterman, N., Vardi, M.Y.: Safraless compositional synthesis. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 31–44. Springer, Heidelberg (2006). https://doi.org/10.1007/11817963_6
Kupferman, O., Vardi, M.Y.: Safraless Decision Procedures. In: Proceedings of FOCS (2005). https://doi.org/10.1109/SFCS.2005.66
Meyer, P.J., Sickert, S., Luttenberger, M.: Strix: explicit reactive synthesis strikes back!. In: Chockler, H., Weissenbacher, G. (eds.) CAV 2018. LNCS, vol. 10981, pp. 578–586. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96145-3_31
de Roever, W.-P., Langmaack, H., Pnueli, A. (eds.): COMPOS 1997. LNCS, vol. 1536. Springer, Heidelberg (1998). https://doi.org/10.1007/3-540-49213-5
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Finkbeiner, B., Passing, N. (2020). Dependency-Based Compositional Synthesis. In: Hung, D.V., Sokolsky, O. (eds) Automated Technology for Verification and Analysis. ATVA 2020. Lecture Notes in Computer Science(), vol 12302. Springer, Cham. https://doi.org/10.1007/978-3-030-59152-6_25
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