ARCH-COMP21 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics

Abstract

We present the results of the ARCH1 2021 friendly competition for formal verification of continuous and hybrid systems with linear continuous dynamics. In its fifth edition, four tools have been applied to solve nine different benchmark problems in the category for linear continuous dynamics (in alphabetical order): CORA, HyDRA, JuliaReach, and SpaceEx. 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.