Polygonal hybrid systems (SPDI) are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. The reachability problem as well as...
Recently, a new approach to the symbolic model checking of timed automata based on a partial order semantics was introduced, which relies on event zones that use vectors of event o...
Abstract. We show how to transform formulae written in the real-time temporal logic MITL into timed automata that recognize their satisfying models. This compositional construction...
We add freeze quantifiers to the game logic ATL in order to specify real-time objectives for games played on timed structures. We define the semantics of the resulting logic TATL b...
Abstract. Well-known hierarchies discriminate between the computational power of discrete time and space dynamical systems. A contrario the situation is more confused for dynamical...
This paper argues that basing the semantics of concurrent systems on the notions of state and state transitions is neither advisable nor necessary. The tendency to do this is deepl...
Abstract. Real-time systems usually encompass parts that are best described by a continuous-time model, such as physical processes under control, together with other components tha...
Timed and weak timed simulation relations are often used to show that operations on hybrid systems result in equivalent behavior or in conservative overapproximations. Given that s...
We solve some decision problems for timed automata which were raised by S. Tripakis in [Tri04] and by E. Asarin in [Asa04]. In particular, we show that one cannot decide whether a ...
In this paper, we consider a novel approach to the temporal logic verification problem of continuous dynamical systems. Our methodology has the distinctive feature that enables the...
Georgios E. Fainekos, Antoine Girard, George J. Pa...