Section: New Results

Semantics

We develop a ${}^{*}$-continuous Kleene $\omega$-algebra of real-time energy functions [36] . Together with corresponding automata, these can be used to model systems which can consume and regain energy (or other types of resources) depending on available time. Using recent results on ${}^{*}$-continuous Kleene $\omega$-algebras and computability of certain manipulations on real-time energy functions, it follows that reachability and Büchi acceptance in real-time energy automata can be decided in a static way which only involves manipulations of real-time energy functions. This works opens the way to static analysis techniques for energy-valued semantics of real-time systems.