Rigorous statistical analysis of HTTPS reachability

Rigorous Reachability Analysis and Domain Decomposition of Taylor Models

The Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical Systems

This paper introduces a new algorithm dedicated to the rigorous reachability analysis of nonlinear dynamical systems. The algorithm is initially presented in the context of discrete time dynamical systems, and then extended to continuous time dynamical systems driven by ODEs. In continuous time, this algorithm is called the Reach and Evolve algorithm. The Reach and Evolve algorithm is based on ...

Reachability computation for hybrid systems with Ariadne

Ariadne is an in-progress open environment to design algorithms for computing with hybrid automata, that relies on a rigorous computable analysis theory to represent geometric objects, in order to achieve provable approximation bounds along the computations. In this paper we discuss the problem of reachability analysis of hybrid automata to decide safety properties. We describe in details the a...

Reachability checking in complex and concurrent software systems using intelligent search methods

Software system verification is an efficient technique for ensuring the correctness of a software product, especially in safety-critical systems in which a small bug may have disastrous consequences. The goal of software verification is to ensure that the product fulfills the requirements. Studies show that the cost of finding and fixing errors in design time is less than finding and fixing the...

Approximating the Value of a Concurrent Reachability Game in the Polynomial Time Hierarchy

We show that the value of a finite-state concurrent reachability game can be approximated to arbitrary precision in TFNP[NP], that is, in the polynomial time hierarchy. Previously, no better bound than PSPACE was known for this problem. The proof is based on formulating a variant of the state reduction algorithm for Markov chains using arbitrary precision floating point arithmetic and giving a ...