Superposition as a Decision Procedure for Timed Automata

Using Interval Petri Nets and Timed Automata for Diagnosis of Discrete Event Systems (DES)

A discrete event system (DES) is a dynamic system that evolves in accordance with the abrupt occurrence, at possibly unknown irregular intervals, of physical events. Because of the special nature of these systems, different tools are currently used for their analysis, design and modeling. The main focus of this paper is the presentation of a new modeling approach of Discrete Event Systems. The ...

A Semi-decision Procedure for Testing Language Inclusion of Nondeterministic Timed Automata

Back to the Future: Towards a Theory of Timed Regular Languages

Timed automata are nite-state machines constrained by timing requirements so that they accept timed words | words in which every symbol is labeled with a real-valued time. These automata were designed to lead to a theory of nite-state real-time properties with applications to the automatic veri cation of real-time systems. However, both deterministic and nondeterministic versions su er from dra...

Improved Undecidability Results for Reachability Games on Recursive Timed Automata

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...

Interval Duration Logic: Expressiveness and Decidability

We investigate a variant of dense-time Duration Calculus which permits model checking using timed/hybrid automata. We define a variant of the Duration Calculus, called Interval Duration Logic, (IDL), whose models are timed state sequences [1]. A subset LIDL of IDL consisting only of located time constraints is presented. As our main result, we show that the models of an LIDL formula can be capt...