Abstract
In a dynamic environment, the accomplishment of a mission composed of multi-robot tasks is quite a challenging problem. To execute collaborative tasks successfully, robots may need to be present at the location of the task. However, the required robots may not be present at the location of the task. A distributed algorithm has been proposed recently for such task execution. A model checker can analyze the behavior of the algorithm. In this paper, we formally model the algorithm using the PRISM model checker. We identify some interesting safety and liveness properties of the algorithm and perform extensive simulations of the algorithm. The results validate that the behavior of the algorithm is as expected.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Yan, Z., Jouandeau, N., Cherif, A.A.: A survey and analysis of multi-robot coordination. Int. J. Adv. Rob. Syst. 10(12), 399 (2013)
Nath, A., Arun, A.R., Niyogi, R.: An approach for task execution in dynamic multirobot environment. In: Mitrovic, T., Xue, B., Li, X. (eds.) AI 2018. LNCS (LNAI), vol. 11320, pp. 71–76. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-03991-2_7
Baier, C., Katoen, J.-P.: Principles of Model Checking. MIT Press, Cambridge (2008)
Kwiatkowska, M., Norman, G., Parker, D.: PRISM: probabilistic symbolic model checker. In: Field, T., Harrison, P.G., Bradley, J., Harder, U. (eds.) TOOLS 2002. LNCS, vol. 2324, pp. 200–204. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-46029-2_13
Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: verification of probabilistic real-time systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585–591. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22110-1_47
Holzmann, G.: Spin Model Checker, the: Primer and Reference Manual. Addison-Wesley Professional, Boston (2003)
Larsen, K.G., Pettersson, P., Yi, W.: Uppaal in a nutshell. Int. J. Softw. Tools Technol. Transf. 1(1–2), 134–152 (1997)
Lomuscio, A., Qu, H., Raimondi, F.: MCMAS: a model checker for the verification of multi-agent systems. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 682–688. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-02658-4_55
Foughali, M., Berthomieu, B., Dal Zilio, S., Hladik, P.-E., Ingrand, F., Mallet, A.: Formal verification of complex robotic systems on resource-constrained platforms. In: 2018 IEEE/ACM 6th International FME Workshop on Formal Methods in Software Engineering (FormaliSE), pp. 2–9. IEEE (2018)
Simmons, R., Pecheur, C., Srinivasan, G.: Towards automatic verification of autonomous systems. In: Proceedings 2000 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2000) (Cat. No. 00CH37113), vol. 2, pp. 1410–1415. IEEE (2000)
De Nicola, R., Di Stefano, L., Inverso, O.: Towards formal models and languages for verifiable multi-robot systems, arXiv preprint arXiv:1804.08091 (2018)
Chen, T., Kwiatkowska, M., Parker, D., Simaitis, A.: Verifying team formation protocols with probabilistic model checking. In: Leite, J., Torroni, P., Ågotnes, T., Boella, G., van der Torre, L. (eds.) CLIMA 2011. LNCS (LNAI), vol. 6814, pp. 190–207. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-22359-4_14
Gaston, M.E., desJardins, M.: Agent-organized networks for dynamic team formation. In: Proceedings of the Fourth International Joint Conference on Autonomous Agents and Multiagent Systems, pp. 230–237. ACM (2005)
Pinciroli, C., et al.: Argos: a modular, multi-engine simulator for heterogeneous swarm robotics. In: 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 5027–5034. IEEE (2011)
Sultan, K.I.: Modeling and verifying probabilistic social commitments in multi-agent systems. Ph.D. thesis, Concordia University (2015)
Acknowledgements
The authors thank the anonymous reviewers of ICCSA 2020 for their valuable suggestions. The second author was in part supported by a research grant from Google.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Nath, A., Niyogi, R. (2020). Formal Verification of a Distributed Algorithm for Task Execution. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12253. Springer, Cham. https://doi.org/10.1007/978-3-030-58814-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-58814-4_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-58813-7
Online ISBN: 978-3-030-58814-4
eBook Packages: Computer ScienceComputer Science (R0)