We discuss the principles of static analysis by abstract interpretation and report on the
automatic verification of the absence of runtime errors in large embedded aerospace …

The interplay of random phenomena and continuous dynamics deserves increased
attention, especially in the context of wireless sensing and control applications. Safety …

Abstract interpretation is a theory of abstraction and constructive approximation of the
mathematical structures used in the formal description of complex or infinite systems and the …

We present a static analysis by Abstract Interpretation to check for run-time errors in parallel
and multi-threaded C programs. Following our work on Astr\'ee, we focus on embedded …

We define and study a new abstract domain which is a fine-grained combination of
zonotopes with (sub-) polyhedric domains such as the interval, octagon, linear template or …

This article describes an approach to documenting control programs, whereby the control
program code is annotated with logical expressions describing the set of reachable program …

The problem of determining whether or not a point lies inside a given polygon occurs in
many applications. In air traffic management concepts, a correct solution to the point-in …

Critical systems that integrate software components (eg, from third-parties) need to address
the risk of residual software defects in these components. Software fault injection is an …

This paper describes our work on demonstrating verification technologies on a flight-critical
system of realistic functionality, size, and complexity. Our work targeted a commercial aircraft …

This invited lecture is a survey of our work over the last 12 years or so, dealing with the
precise analysis of numerical programs, essentially control programs such as the ones …