Abstract
To combat state space explosion several compositional verification approaches have been proposed. One such approach is compositional aggregation, where a given system consisting of a number of parallel components is iteratively composed and minimised. Compositional aggregation has shown to perform better (in the size of the largest state space in memory at one time) than classical monolithic composition in a number of cases. However, there are also cases in which compositional aggregation performs much worse.
It is unclear when one should apply compositional aggregation in favor of other techniques and how it is affected by action hiding and the scale of the model.
This paper presents a descriptive analysis following the quantitiative experimental approach. The experiments were conducted in a controlled test bed setup in a computer laboratory environment. A total of eight scalable models with different network topologies considering a number of varying properties were investigated comprising 119 subjects. This makes it the most comprehensive study done so far on the topic. We investigate whether there is any systematic difference in the success of compositional aggregation based on the model, scaling, and action hiding. Our results indicate that both scaling up the model and hiding more behaviour has a positive influence on compositional aggregation.
S. de Putter—This work is supported by ARTEMIS Joint Undertaking project EMC2 (grant nr. 621429).
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The models are available at http://www.win.tue.nl/mdse/composition/test_cases.zip.
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All generated data is available at http://www.win.tue.nl/mdse/composition/test_cases_data.zip.
References
Abd Elkader, K., Grumberg, O., Păsăreanu, C.S., Shoham, S.: Automated circular assume-guarantee reasoning with N-way decomposition and alphabet refinement. In: Chaudhuri, S., Farzan, A. (eds.) CAV 2016. LNCS, vol. 9779, pp. 329–351. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-41528-4_18
Andersen, H.: Partial model checking. In: LICS, pp. 398–407. IEEE Computer Society Press (1995)
Anderson, J.H., Kim, Y.J., Herman, T.: Shared-memory mutual exclusion: major research trends since 1986. Distrib. Comput. 16(2–3), 75–110 (2003)
ASCI: The Distributed ASCI Supercomputer DAS4. http://www.cs.vu.nl/das4/. Accessed 09-08-2017
Baier, C., Katoen, J.P.: Principles of Model Checking. MIT Press, Cambridge (2008)
Cheung, S.C., Kramer, J.: Context constraints for compositional reachability analysis. ACM Trans. Softw. Eng. Methodol. 5(4), 334–377 (1996)
Cobleigh, J.M., Avrunin, G.S., Clarke, L.A.: Breaking up is hard to do: an evaluation of automated assume-guarantee reasoning. ACM Trans. Softw. Eng. Methodol. 17(2), 7:1–7:52 (2008)
Crouzen, P., Lang, F.: Smart reduction. In: Giannakopoulou, D., Orejas, F. (eds.) FASE 2011. LNCS, vol. 6603, pp. 111–126. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-19811-3_9
Crouzen, P., Hermanns, H.: Aggregation ordering for massively compositional models. In: 10th International Conference on Application of Concurrency to System Design, pp. 171–180. IEEE (2010)
Fernandez, J.: ALDEBARAN: un système de vérification par réduction de processus communicants. (Aldebaran : a system of verification of communicating processes by using reduction). Ph.D. thesis, Joseph Fourier University, Grenoble, France (1988)
Garavel, H., Lang, F., Mateescu, R.: Compositional Verification of Asynchronous Concurrent Systems using CADP (extended version). Research Report RR-8708, INRIA Grenoble - Rhône-Alpes, Apr 2015. https://hal.inria.fr/hal-01138749
Garavel, H., Sighireanu, M.: A graphical parallel composition operator for process algebras. In: FORTE/PSTV 1999. IFIP Conference Proceedings, vol. 156, pp. 185–202. Kluwer (1999)
Garavel, H., Lang, F.: SVL: a scripting language for compositional verification. In: 21st International Conference on Formal Techniques for Networked and Distributed Systems, pp. 377–392. Kluwer, Boston, MA (2002)
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). https://doi.org/10.1007/978-3-540-70545-1_14
Glabbeek, R.V., Luttik, S., Trčka, N.: Branching bisimilarity with explicit divergence. Fundam. Inform. 93(4), 371–392 (2009)
Gupta, A., McMillan, K.L., Fu, Z.: Automated assumption generation for compositional verification. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 420–432. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-73368-3_45
Heimbold, D., Luckham, D.: Debugging ada tasking programs. IEEE Softw. 2, 47–57 (1985)
Hintze, J., Nelson, R.: Violin plots: a box plot-density trace synergism. Am. Stat. 52(2), 181–184 (1998)
Jones, C.B.: Specification and design of (parallel) programs. In: IFIP Congress, vol. 83, pp. 321–332 (1983)
Keller, R.K., Cameron, M., Taylor, R.N., Troup, D.B.: User interface development and software environments: the Chiron-1 system. In: Proceedings of the 13th International Conference on Software Engineering, pp. 208–218. IEEE (1991)
Kendall, M., Gibbons, J.: Rank correlation methods, chap. 3, 5th edn. Oxford University Press, Oxford (1990)
Lang, F.: Refined interfaces for compositional verification. In: Najm, E., Pradat-Peyre, J.-F., Donzeau-Gouge, V.V. (eds.) FORTE 2006. LNCS, vol. 4229, pp. 159–174. Springer, Heidelberg (2006). https://doi.org/10.1007/11888116_13
Le Lann, G.: Distributed systems - towards a formal approach. In: IFIP Congress, pp. 155–160 (1977)
Mateescu, R., Wijs, A.: Property-dependent reductions adequate with divergence-sensitive branching bisimilarity. Sci. Comput. Program. 96(3), 354–376 (2014)
O’Leary, Z.: The Essential Guide to Doing Research. SAGE Publications, Thousand Oaks (2004)
Păsăreanu, 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. Form. Methods Syst. Des. 32(3), 175–205 (2008)
Pelánek, R.: BEEM: benchmarks for explicit model checkers. In: Bošnački, D., Edelkamp, S. (eds.) SPIN 2007. LNCS, vol. 4595, pp. 263–267. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-73370-6_17
Peterson, G.L.: Myths about the mutual exclusion problem. IPL 12, 115–116 (1981)
Pnueli, A.: In transition from global to modular temporal reasoning about programs. Logics and Models of Concurrent Systems. NATO ASI, vol. 13, pp. 123–144. Springer, Berlin (1985). https://doi.org/10.1007/978-3-642-82453-1_5
de Putter, S., Wijs, A.: Compositional model checking is lively. In: Proença, J., Lumpe, M. (eds.) FACS 2017. LNCS, vol. 10487, pp. 117–136. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-68034-7_7
de Putter, S., Wijs, A.: A formal verification technique for behavioural model-to-model transformations. Form. Asp. Comput. 30, 3–43 (2017). https://doi.org/10.1007/s00165-017-0437-z
Roscoe, A.W.: The Theory and Practice of Concurrency. Prentice Hall PTR, Upper Saddle River (1997)
Sabnani, K.K., Lapone, A.M., Uyar, M.U.: An algorithmic procedure for checking safety properties of protocols. IEEE Trans. Commun. 37(9), 940–948 (1989)
Tai, K.C., Koppol, P.V.: Hierarchy-based incremental analysis of communication protocols. In: 1993 International Conference on Network Protocols, pp. 318–325. IEEE (1993)
Tai, K.C., Koppol, P.V.: An incremental approach to reachability analysis of distributed programs. In: Proceedings of the 7th International Workshop on Software Specification and Design, pp. 141–150. IEEE Computer Society Press (1993)
Valmari, A.: Compositional state space generation. In: Rozenberg, G. (ed.) ICATPN 1991. LNCS, vol. 674, pp. 427–457. Springer, Heidelberg (1993). https://doi.org/10.1007/3-540-56689-9_54
Wijs, A., Engelen, L.: REFINER: towards formal verification of model transformations. In: Badger, J.M., Rozier, K.Y. (eds.) NFM 2014. LNCS, vol. 8430, pp. 258–263. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-06200-6_21
Acknowledgements
The authors would like to thank Vrije Universiteit Amsterdam for their generosity in supplying the computing resources for the experiments.
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de Putter, S., Wijs, A. (2018). To Compose, or Not to Compose, That Is the Question: An Analysis of Compositional State Space Generation. In: Havelund, K., Peleska, J., Roscoe, B., de Vink, E. (eds) Formal Methods. FM 2018. Lecture Notes in Computer Science(), vol 10951. Springer, Cham. https://doi.org/10.1007/978-3-319-95582-7_29
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