The challenges in providing convincing arguments for safe and correct behavior of
automated driving (AD) systems have so far hindered their widespread commercial …

Continuous invariants are an important component in deductive verification of hybrid and
continuous systems. Just like discrete invariants are used to reason about correctness in …

This chapter provides a retrospective on the developments of three theorem provers for
hybrid systems. While all three theorem provers implement closely related logics of the …

We present a semantic framework for the deductive verification of hybrid systems with
Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the …

Semi-algebraic sets and real analytic functions are fundamental concepts in Real Algebraic
Geometry and Real Analysis, respectively. These concepts appear in the study of Differential …

Semi-algebraic abstraction is an approach to the safety verification problem for polynomial
dynamical systems where the state space is partitioned according to the sign of a set of …

Whenever continuous dynamics and discrete control interact, hybrid systems arise. As
hybrid systems become ubiquitous and more and more complex, analysis and synthesis …

We present a semantic framework for the deductive verification of hybrid systems with
Isabelle/HOL. It supports reasoning about the temporal evolutions of hybrid programs in the …

This paper reports on the Hybrid Systems Theorem Proving (HSTP) category in the ARCH-
COMP Friendly Competition 2021. The characteristic features of the HSTP category remain …

The design of safety-and mission-critical software systems (used in, eg, avionics,
automotive, medical devices,...) requires the development of automated tools, such as Model …