\title{Timed Automata with Urgent Transitions\thanks{A first version of this paper appeared in \cite{BT01}}} \author{Roberto Barbuti \and Luca Tesei} \begin{abstract} In this paper we propose an extension to the formalism of timed automata by allowing urgent transitions. An urgent transition is a transition which must be taken within a fixed time interval from its enabling time and it has higher priority than other non-urgent transitions enabled in the same state. We give a set of rules formally describing the behavior of urgent transitions and we show that, from a language theoretic point of view, the addition of urgency does not improve the expressive power of timed automata. From a specification point of view, the use of urgent transitions allows shorter and clear specifications of behaviors involving urgency and priority. We use timed automata with urgent transitions for specifying a multicast protocol for mobile computing. \\ \ \\ \noindent {\bf Keywords:} real-time systems, timed automata, modular specification, parallel composition. \end{abstract}