Reachability analysis consists in computing the set of states that are reachable by a
dynamical system from all initial states and for all admissible inputs and parameters. It is a …

The philosophy, architecture, and capabilities of the COntinuous Reachability Analyzer
(CORA) are presented. CORA is a toolbox that integrates various vector and matrix set …

Reachability analysis is a fundamental problem in verification that checks for a given model
and set of initial states if the system will reach a given set of unsafe states. Its importance lies …

Abstract The tool Flow* performs Taylor model-based flowpipe construction for non-linear
(polynomial) hybrid systems. Flow* combines well-known Taylor model arithmetic …

Applying neural networks as controllers in dynamical systems has shown great promises.
However, it is critical yet challenging to verify the safety of such control systems with neural …

We present an approach to construct reachable set overapproximations for continuous-time
dynamical systems controlled using neural network feedback systems. Feedforward deep …

Abstract dReach is a bounded reachability analysis tool for nonlinear hybrid systems. It
encodes reachability problems of hybrid systems to first-order formulas over real numbers …

This article addresses the problem of verifying the safety of autonomous systems with neural
network (NN) controllers. We focus on NNs with sigmoid/tanh activations and use the fact …

A new technique for computing the reachable set of hybrid systems with nonlinear
continuous dynamics is presented. Previous work showed that abstracting the nonlinear …

We study the verification problem for closed-loop dynamical systems with neural-network
controllers (NNCS). This problem is commonly reduced to computing the set of reachable …