We present the results of the ARCH1 2020 friendly competition for formal verification of continuous and hybrid systems with linear continuous dynamics. In its fourth edition, eight tools have been applied to solve eight different benchmark problems in the category for linear continuous dynamics (in alphabetical order): CORA, C2E2, HyDRA, Hylaa, Hylaa-Continuous, JuliaReach, SpaceEx, and XSpeed. This report is a snapshot of the current landscape of tools and the types of benchmarks they are particularly suited for. Due to the diversity of problems, we are not ranking tools, yet the presented results provide one of the most complete assessments of tools for the safety verification of continuous and hybrid systems with linear continuous dynamics up to this date.
We present the results of a friendly competition for formal verification of continuous and hybrid systems with nonlinear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2022. This year, 6 tools Ariadne, CORA, DynIbex, JuliaReach, Kaa and KeYmaera X (in alphabetic order) participated. These tools are applied to solve reachability analysis problems on six benchmark problems, two of them featuring hybrid dynamics. We do not rank the tools based on the results, but show the current status and discover the potential advantages of different tools.
We present the results of a friendly competition for formal verification of continuous and hybrid systems with nonlinear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2021. This year, 5 tools Ariadne, CORA, DynIbex, JuliaReach and Kaa (in alphabetic order) participated. These tools are applied to solve reachability analysis problems on five benchmark problems, two of them featuring hybrid dynamics. We do not rank the tools based on the results, but show the current status and discover the potential advantages of different tools.
Reachability analysis fails to produce tight reachable sets if certain algorithm parameters are poorly tuned, such as the time step size or the accuracy of the set representation. The tuning is especially difficult in the context of nonlinear systems where over-approximation errors accumulate over time due to the so-called wrapping effect, often requiring expert knowledge. In order to widen the applicability of reachability analysis for practitioners, we propose the first adaptive parameter tuning approach for reachability analysis of nonlinear continuous systems tuning all algorithm parameters. Our modular approach can be applied to different reachability algorithms as well as various set representations. Finally, an evaluation on numerous benchmark systems shows that the adaptive parameter tuning approach efficiently computes very tight enclosures of reachable sets.
CCS CONCEPTS• General and reference → Verification; • Mathematics of computing → Ordinary differential equations.
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