In this paper, a timed modal logic L c is presented for the specification and verification of real-time systems. Several important results for L c are discussed. First we address the model checking problem and we show that it is an EXPTIME-complete problem. Secondly we consider expressiveness and we explain how to express strong timed bisimilarity and how to build characteristic formulas for timed automata. We also propose a compositional algorithm for L c model checking. Finally we consider several control problems for which L c can be used to check controllability
Keywords Model checking  Timed automata  Timed modal logic  Timed control
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DOI 10.1007/s10849-010-9127-4
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