Inductive Synthesis for Probabilistic Programs Reaches New Horizons
Author:
Andriushchenko RomanORCID, Češka MilanORCID, Junges SebastianORCID, Katoen Joost-PieterORCID
Abstract
AbstractThis paper presents a novel method for the automated synthesis of probabilistic programs. The starting point is a program sketch representing a finite family of finite-state Markov chains with related but distinct topologies, and a reachability specification. The method builds on a novel inductive oracle that greedily generates counter-examples (CEs) for violating programs and uses them to prune the family. These CEs leverage the semantics of the family in the form of bounds on its best- and worst-case behaviour provided by a deductive oracle using an MDP abstraction. The method further monitors the performance of the synthesis and adaptively switches between inductive and deductive reasoning. Our experiments demonstrate that the novel CE construction provides a significantly faster and more effective pruning strategy leading to an accelerated synthesis process on a wide range of benchmarks. For challenging problems, such as the synthesis of decentralized partially-observable controllers, we reduce the run-time from a day to minutes.
Publisher
Springer International Publishing
Reference41 articles.
1. Ábrahám, E., Becker, B., Dehnert, C., Jansen, N., Katoen, J.P., Wimmer, R.: Counterexample generation for discrete-time Markov models: An introductory survey. In: SFM. LNCS, vol. 8483, pp. 65–121. Springer (2014) 2. Alur, R., Bodík, R., Dallal, E., Fisman, D., Garg, P., Juniwal, G., Kress-Gazit, H., Madhusudan, P., Martin, M.M.K., Raghothaman, M., Saha, S., Seshia, S.A., Singh, R., Solar-Lezama, A., Torlak, E., Udupa, A.: Syntax-guided synthesis. In: Dependable Software Systems Engineering, NATO Science for Peace and Security Series, vol. 40, pp. 1–25. IOS Press (2015) 3. Baier, C., de Alfaro, L., Forejt, V., Kwiatkowska, M.: Model checking probabilistic systems. In: Handbook of Model Checking, pp. 963–999. Springer (2018) 4. Baier, C., Hensel, C., Hutschenreiter, L., Junges, S., Katoen, J., Klein, J.: Parametric markov chains: PCTL complexity and fraction-free gaussian elimination. Inf. Comput. 272, 104504 (2020) 5. Bartocci, E., Grosu, R., Katsaros, P., Ramakrishnan, C.R., Smolka, S.A.: Model repair for probabilistic systems. In: TACAS’11. LNCS, vol. 6605, pp. 326–340 (2011)
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