Differential dynamic logic (dL) is a formal framework for specifying and reasoning about
hybrid systems, ie, dynamical systems that exhibit both continuous and discrete behaviors …

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 …

Abstract The Automatic Dependent Surveillance-Broadcast (ADS-B) system allows aircraft to
communicate current state information, including position and velocity messages, to other …

Nowadays geographic data (geodata) are used in a variety of applications. A compact
position report (CPR) is one of the commonly used algorithms for reducing the size of …

In floating-point programs, guard instability occurs when the control flow of a conditional
statement diverges from its ideal execution under real arithmetic. This phenomenon is …

Abstract A term Cyber-Physical System (CPS) refers to a mathematically described
(specified) real-world process, that combines discrete changes of pre-defined control states …

Small round-off errors in safety-critical systems can lead to catastrophic consequences. In
this context, determining if the result computed by a floating-point program is accurate …

Iterative methods for solving linear systems serve as a basic building block for computational
science. The computational cost of these methods can be significantly influenced by the …

Geodata is an important component of most software. Coordinates of places and positions of
moved objects are specific and different from common data formats. Geographic coordinates …

The NASA DAIDALUS library provides formal definitions for Detect-and-Avoid avionics
concepts such as when an aircraft is well-clear with respect to the surrounding air traffic, ie, it …