Li, Xu[University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Computer Science (DCS) >]
Gabbay, Dov M.[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) > ; King's College, London]
Markovich, Réka[University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Computer Science (DCS)]
[en] In this paper, we introduce and study a dynamic deontic logic for permitted announcements. In our logic framework, it is permitted to announce something if announcing it would not lead to forbidden knowledge. It is shown that the logic is not compact, and we propose a sound and weakly complete Hilbert-style axiomatisation. We also study the computational complexity of the model checking problem and the decidability of the satisfiability problem. Finally, we introduce a neighbourhood semantics with a strongly complete axiomatisation.
Fonds National de la Recherche Luxembourg, FNR ; KR Inc. (Principles of Knowledge Representation and Reasoning);The Academic College of Tel Aviv-Yaffo;The Artificial Intelligence Journal;The European Association for Artificial Intelligence (EurAi);The National Science Foundation (NSF)