Abstract
Compositional verification techniques in the assume-guarantee style have been successfully applied to transition systems to efficiently reduce the search space by leveraging the compositional nature of the systems under consideration. We adapt these techniques to the domain of hybrid systems with affine dynamics. To build assumptions we introduce an abstraction based on location merging. We integrate the assume-guarantee style analysis with automatic abstraction refinement. We have implemented our approach in the symbolic hybrid model checker SpaceEx. The evaluation shows its practical potential. To the best of our knowledge, this is the first work combining assume-guarantee reasoning with automatic abstraction-refinement in the context of hybrid automata.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Alur, R., Courcoubetis, C., Halbwachs, N., Henzinger, T., Ho, P., Nicolin, X., Olivero, A., Sifakis, J., Yovine, S.: The algorithmic analysis of hybrid systems. Theoretical Computer Science 138, 3–34 (1995)
Alur, R., Dang, T., Ivančić, F.: Reachability analysis of hybrid systems via predicate abstraction. In: Tomlin, C.J., Greenstreet, M.R. (eds.) HSCC 2002. LNCS, vol. 2289, pp. 35–48. Springer, Heidelberg (2002)
Alur, R., Madhusudan, P., Nam, W.: Symbolic compositional verification by learning assumptions. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 548–562. Springer, Heidelberg (2005)
Angluin, D.: Learning regular sets from queries and counterexamples. Inf. Comput. 75(2), 87–106 (1987)
Gheorghiu Bobaru, M., Păsăreanu, C.S., Giannakopoulou, D.: Automated assume-guarantee reasoning by abstraction refinement. In: Gupta, A., Malik, S. (eds.) CAV 2008. LNCS, vol. 5123, pp. 135–148. Springer, Heidelberg (2008)
Clarke, E., Grumberg, O., Jha, S., Lu, Y., Veith, H.: Counterexample-guided abstraction refinement. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 154–169. Springer, Heidelberg (2000)
Donzé, A., Frehse, G.: Modular, hierarchical models of control systems in SpaceEx. In: European Control Conference (ECC) (2013)
Doyen, L., Henzinger, T.A., Raskin, J.-F.: Automatic rectangular refinement of affine hybrid systems. In: Pettersson, P., Yi, W. (eds.) FORMATS 2005. LNCS, vol. 3829, pp. 144–161. Springer, Heidelberg (2005)
Frehse, G., Le Guernic, C., Donzé, A., Cotton, S., Ray, R., Lebeltel, O., Ripado, R., Girard, A., Dang, T., Maler, O.: SpaceEx: Scalable verification of hybrid systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 379–395. Springer, Heidelberg (2011)
Frehse, G., Maler, O.: Reachability analysis of a switched buffer network. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds.) HSCC 2007. LNCS, vol. 4416, pp. 698–701. Springer, Heidelberg (2007)
Henzinger, T.A.: The theory of hybrid automata. In: LICS, pp. 278–292 (1996)
Jha, S.K., Krogh, B.H., Weimer, J.E., Clarke, E.M.: Reachability for linear hybrid automata using iterative relaxation abstraction. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds.) HSCC 2007. LNCS, vol. 4416, pp. 287–300. Springer, Heidelberg (2007)
Pasareanu, C.S., Giannakopoulou, D., Bobaru, M.G., Cobleigh, J.M., Barringer, H.: Learning to divide and conquer: applying the L* algorithm to automate assume-guarantee reasoning. Formal Methods in System Design (FMSD) 32(3), 175–205 (2008)
Pnueli, A.: In transition from global to modular temporal reasoning about programs. In: Logics and Models of Concurrent Systems. NATO ASI Series (1985)
Prabhakar, P., Duggirala, P.S., Mitra, S., Viswanathan, M.: Hybrid automata-based CEGAR for rectangular hybrid systems. In: Giacobazzi, R., Berdine, J., Mastroeni, I. (eds.) VMCAI 2013. LNCS, vol. 7737, pp. 48–67. Springer, Heidelberg (2013)
Tiwari, A.: Abstractions for hybrid systems. Formal Methods in System Design (FMSD) 32(1), 57–83 (2008)
Zutshi, A., Sankaranarayanan, S., Deshmukh, J., Kapinski, J.: A trajectory splicing approach to concretizing counterexamples for hybrid systems. In: Conference on Decision and Control (CDC), pp. 3918–3925 (2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Bogomolov, S. et al. (2014). Assume-Guarantee Abstraction Refinement Meets Hybrid Systems. In: Yahav, E. (eds) Hardware and Software: Verification and Testing. HVC 2014. Lecture Notes in Computer Science, vol 8855. Springer, Cham. https://doi.org/10.1007/978-3-319-13338-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-13338-6_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13337-9
Online ISBN: 978-3-319-13338-6
eBook Packages: Computer ScienceComputer Science (R0)