Changing Modalities
Gerard R. Renardel de Lavalette · Journal of Logic and Computation · 2004
The dynamic modal logic DML is presented, featuring actions that change the interpretation of a propositional variable or a modality. The semantics is defined both in terms of modal structures and of labelled transition systems (Kripke models). The extension µDML with recursively defined actions aims to unify and extend dynamic epistemic logics proposed by Plaza, Gerbrandy, Baltag, Van Ditmarsch and others. The main technical result is the completeness and decidability of µDML.