Gurung, Amit; Deka, Arup; Bartocci, Ezio; Bogomolov, SergiyISTA ; Grosu, Radu; Ray, Rajarshi
We propose two parallel state-space-exploration algorithms for hybrid automaton (HA), with the goal of enhancing performance on multi-core shared-memory systems. The first uses the parallel, breadth-first-search algorithm (PBFS) of the SPIN model checker, when traversing the discrete modes of the HA, and enhances it with a parallel exploration of the continuous states within each mode. We show that this simple-minded extension of PBFS does not provide the desired load balancing in many HA benchmarks. The second algorithm is a task-parallel BFS algorithm (TP-BFS), which uses a cheap precomputation of the cost associated with the post operations (both continuous and discrete) in order to improve load balancing. We illustrate the TP-BFS and the cost precomputation of the post operators on a support-function-based algorithm for state-space exploration. The performance comparison of the two algorithms shows that, in general, TP-BFS provides a better utilization/load-balancing of the CPU. Both algorithms are implemented in the model checker XSpeed. Our experiments show a maximum speed-up of more than 2000 χ on a navigation benchmark, with respect to SpaceEx LGG scenario. In order to make the comparison fair, we employed an equal number of post operations in both tools. To the best of our knowledge, this paper represents the first attempt to provide parallel, reachability-analysis algorithms for HA.
This work was supported in part by DST-SERB, GoI under Project No. YSS/2014/000623 and by the European Research Council (ERC) under grant 267989 (QUAREM) and by the Austrian Science Fund (FWF) under grants S11402-N23, S11405-N23 and S11412-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award).
MEMOCODE: International Conference on Formal Methods and Models for System Design
2016-11-18 – 2016-11-20
Gurung A, Deka A, Bartocci E, Bogomolov S, Grosu R, Ray R. Parallel reachability analysis for hybrid systems. In: IEEE; 2016. doi:10.1109/MEMCOD.2016.7797741
Gurung, A., Deka, A., Bartocci, E., Bogomolov, S., Grosu, R., & Ray, R. (2016). Parallel reachability analysis for hybrid systems. Presented at the MEMOCODE: International Conference on Formal Methods and Models for System Design, Kanpur, India : IEEE. https://doi.org/10.1109/MEMCOD.2016.7797741
Gurung, Amit, Arup Deka, Ezio Bartocci, Sergiy Bogomolov, Radu Grosu, and Rajarshi Ray. “Parallel Reachability Analysis for Hybrid Systems.” IEEE, 2016. https://doi.org/10.1109/MEMCOD.2016.7797741.
A. Gurung, A. Deka, E. Bartocci, S. Bogomolov, R. Grosu, and R. Ray, “Parallel reachability analysis for hybrid systems,” presented at the MEMOCODE: International Conference on Formal Methods and Models for System Design, Kanpur, India , 2016.
Gurung A, Deka A, Bartocci E, Bogomolov S, Grosu R, Ray R. 2016. Parallel reachability analysis for hybrid systems. MEMOCODE: International Conference on Formal Methods and Models for System Design, 7797741.
Gurung, Amit, et al. Parallel Reachability Analysis for Hybrid Systems. 7797741, IEEE, 2016, doi:10.1109/MEMCOD.2016.7797741.