Languages based on the theory of timed automata are a well established approach for modelling and analysing real-time systems, with many applications both in industrial and academic context. Model checking for timed automata has been studied extensively during the last two decades; however, even now industrial-grade model checkers are available only for few timed automata dialects (in particula...

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability games on RTA is undecidable for automata with two or more clocks, while the problem is decidable for automata with only one clock. Ouaknine and Worrell recent...

We define a new class of hybrid automata for which reachability is decidable—a proper superclass of the initialized rectangular hybrid automata—by taking parallel compositions of simple components. Attempting to generalize, we encounter timed automata with algebraic constants. We show that reachability is undecidable for these algebraic timed automata by simulating two-counter Minsky machines. ...

The general theory of randomly timed automata is developed: starting with the practical motivation and presentation of the envisaged notion, the categorical theory of minimization, aggregation, encapsulation, interconnection and realization of such automata is worked out. All these constructions are presented universally: minimization and realization as adjunctions, aggregation as product, inte...

Automata expressiveness is an essential feature in understanding which of the formalisms available should be chosen for modelling a particular problem. Probabilistic and stochastic automata are suitable for modelling systems exhibiting probabilistic behaviour and their expressiveness has been studied relative to non-probabilistic transition systems and Markov chains. In this paper, we consider ...

For the formal specification and verification of real-time systems we use the modular formalism Cottbus Timed Automata (CTA), which is an extension of timed automata [AD94]. Matrix-based algorithms for the reachability analysis of timed automata are implemented in tools like Kronos, Uppaal, HyTech and Rabbit. A new BDD-based version of Rabbit, which supports also refinement checking, is now ava...

The notion of updatable timed automata has been introduced as a natural syntactic extension of classical timed automata. These updatable timed automata allow in particular to represent large classes of real-time systems in a much more concise way. For numerous families of updatable timed automata, the decidability of the emptiness problem has been proved with a suitable extension of Alur and Di...

We present synchronized recursive timed automata (SRTA) that extend timed automata with a stack. Each frame of a stack is composed of rational-valued clocks, and SRTA synchronously increase the values of all the clocks within the stack. Our main contribution is to show that the reachability problem of SRTA is ExpTime-complete. This decidability contrasts with the undecidability for recursive ti...

Languages based on the theory of timed automata are a well established approach for modelling and analysing real-time systems, with many applications both in industrial and academic context. Model checking for timed automata has been studied extensively during the last two decades; however, even now industrial-grade model checkers are available only for few timed automata dialects (in particula...