We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems.
JuliaReach consists of two main packages: Reachability, containing implementations of …

The Internet of Things (IoT) is a ubiquitous system connecting many different devices-the
things-which can be accessed from the distance. The cyber-physical systems (CPSs) …

The amalgamation of artificial intelligence with Internet of Things (AIoT) devices have seen a
rapid surge in growth, largely due to the effective implementation of deep neural network …

Runtime verification is an area of formal methods that studies the dynamic analysis of
execution traces against formal specifications. Typically, the two main activities in runtime …

We introduce sparse polynomial zonotopes, a new set representation for formal verification
of hybrid systems. Sparse polynomial zonotopes can represent nonconvex sets and are …

Approximating the set of reachable states of a dynamical system is an algorithmic yet
mathematically rigorous way to reason about its safety. Although progress has been made in …

We present the Verse library with the aim of making hybrid system verification more usable
for multi-agent scenarios. In Verse, decision making agents move in a map and interact with …

Reachability analysis is a formal method to guarantee safety of dynamical systems under the
influence of uncertainties. A substantial bottleneck of all reachability algorithms is the …

Template polyhedra generalize intervals and octagons to polyhedra whose facets are
orthogonal to a given set of arbitrary directions. They have been employed in the abstract …

Despite the possibility to quickly compute reachable sets of large-scale linear systems,
current methods are not yet widely applied by practitioners. The main reason for this is …