Abstract
We present a novel formal verification approach for collective robotic systems that is based on the use of the formal language Klaim and related analysis tools. While existing approaches focus on either micro- or macroscopic views of a system, we model aspects of both the robot hardware and behaviour, as well as relevant aspects of the environment. We illustrate our approach through a robotics scenario, in which three robots cooperate in a decentralized fashion to transport an object to a goal area. We first model the scenario in Klaim. Subsequently, we introduce random aspects to the model by stochastically specifying actions execution time. Unlike other approaches, the specification thus obtained enables quantitative analysis of crucial properties of the system. We validate our approach by comparing the results with those obtained through physics-based simulations.
This work has been partially sponsored by the EU project ASCENS, 257414.
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References
Bettini, L., De Nicola, R., Pugliese, R.: Klava: a Java Package for Distributed and Mobile Applications. Software - Practice and Experience 32(14), 1365–1394 (2002)
Bonani, M., et al.: The marxbot, a miniature mobile robot opening new perspectives for the collective-robotic research. In: IROS, pp. 4187–4193. IEEE (2010)
Brambilla, M., Pinciroli, C., Birattari, M., Dorigo, M.: Property-driven design for swarm robotics. In: AAMAS. IFAAMAS (to appear, 2012)
Bruni, R., Corradini, A., Gadducci, F., Lluch Lafuente, A., Vandin, A.: Modelling and Analyzing Adaptive Self-assembly Strategies with Maude. In: Durán, F. (ed.) WRLA 2012. LNCS, vol. 7571, pp. 118–138. Springer, Heidelberg (2012)
Calzolai, F., Loreti, M.: Simulation and Analysis of Distributed Systems in Klaim. In: Clarke, D., Agha, G. (eds.) COORDINATION 2010. LNCS, vol. 6116, pp. 122–136. Springer, Heidelberg (2010)
Clarke, E.M., Wing, J.M.: Formal methods: state of the art and future directions. ACM Comput. Surv. 28, 626–643 (1996)
De Nicola, R., Ferrari, G., Pugliese, R.: KLAIM: A Kernel Language for Agents Interaction and Mobility. Transactions on Software Engineering 24(5), 315–330 (1998)
De Nicola, R., Katoen, J., Latella, D., Loreti, M., Massink, M.: Model checking mobile stochastic logic. Theor. Comput. Sci. 382(1), 42–70 (2007)
Dixon, C., Winfield, A., Fisher, M.: Towards Temporal Verification of Emergent Behaviours in Swarm Robotic Systems. In: Groß, R., Alboul, L., Melhuish, C., Witkowski, M., Prescott, T.J., Penders, J. (eds.) TAROS 2011. LNCS, vol. 6856, pp. 336–347. Springer, Heidelberg (2011)
Ferrante, E., Brambilla, M., Birattari, M., Dorigo, M.: Socially-Mediated Negotiation for Obstacle Avoidance in Collective Transport. In: Martinoli, A., Mondada, F., Correll, N., Mermoud, G., Egerstedt, M., Hsieh, M.A., Parker, L.E., Støy, K. (eds.) Distributed Autonomous Robotic Systems. STAR, vol. 83, pp. 571–583. Springer, Heidelberg (2013)
Fisher, M., Wooldridge, M.: On the formal specification and verification of multi-agent systems. Int. Journal of Cooperative Information Systems 6(1), 37–66 (1997)
Galstyan, A., Hogg, T., Lerman, K.: Modeling and Mathematical Analysis of Swarms of Microscopic Robots. In: SIS, pp. 201–208. IEEE (2005)
Gjondrekaj, E., Loreti, M., Pugliese, R., Tiezzi, F.: Specification and Analysis of a Collective Robotics Scenario in SAM (2011), SAM source file available at http://rap.dsi.unifi.it/SAM/
Gjondrekaj, E., et al.: Towards a formal verification methodology for collective robotic systems. Technical report, Univ. Firenze (2011), http://rap.dsi.unifi.it/~loreti/papers/collective_transport_verification.pdf
Jeyaraman, S., et al.: Formal techniques for the modelling and validation of a co-operating UAV team that uses Dubins set for path planning. In: ACC, vol. 7, pp. 4690–4695. IEEE (2005)
Jones, C., Mataric, M.J.: Synthesis and Analysis of Non-Reactive Controllers for Multi-Robot Sequential Task Domains. In: Ang, M.H., Khatib, O. (eds.) Experimental Robotics IX. STAR, vol. 21, pp. 417–426. Springer, Heidelberg (2004)
Konur, S., Dixon, C., Fisher, M.: Formal Verification of Probabilistic Swarm Behaviours. In: Dorigo, M., Birattari, M., Di Caro, G.A., Doursat, R., Engelbrecht, A.P., Floreano, D., Gambardella, L.M., Groß, R., Şahin, E., Sayama, H., Stützle, T. (eds.) ANTS 2010. LNCS, vol. 6234, pp. 440–447. Springer, Heidelberg (2010)
Lerman, K., Martinoli, A., Galstyan, A.: A Review of Probabilistic Macroscopic Models for Swarm Robotic Systems. In: Şahin, E., Spears, W.M. (eds.) Swarm Robotics WS 2004. LNCS, vol. 3342, pp. 143–152. Springer, Heidelberg (2005)
Loreti, M.: SAM: Stochastic Analyser for Mobility, http://rap.dsi.unifi.it/SAM/
Stankovic, J.A.: Strategic directions in real-time and embedded systems. ACM Comput. Surv. 28, 751–763 (1996)
Winfield, A., et al.: On Formal Specification of Emergent Behaviours in Swarm Robotic Systems. Int. Journal of Advanced Robotic Systems 2(4), 363–370 (2005)
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Gjondrekaj, E. et al. (2012). Towards a Formal Verification Methodology for Collective Robotic Systems. In: Aoki, T., Taguchi, K. (eds) Formal Methods and Software Engineering. ICFEM 2012. Lecture Notes in Computer Science, vol 7635. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34281-3_7
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DOI: https://doi.org/10.1007/978-3-642-34281-3_7
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