Dynamic epistemic temporal logic

• Authors: Bryan Renne;Joshua Sack;Audrey Yap
• Venue: LORI'09 Proceedings of the 2nd international conference on Logic, rationality and interaction
• Year: 2009

We introduce a new type of arrow in the update frames (or "action models") of Dynamic Epistemic Logic in a way that enables us to reason about epistemic temporal dynamics in multi-agent systems that need not be synchronous. Since van Benthem and Pacuit (later joined by Hoshi and Gerbrandy) showed that standard Dynamic Epistemic Logic necessarily satisfies synchronicity, it follows that our arrow type is a new way of extending the domain of applicability of the Dynamic Epistemic Logic approach. Furthermore, our framework provides a new perspective on the van Benthem et al work itself. In particular, while each of our work and their work shows that epistemic temporal models generated by standard update frames necessarily satisfy certain structural properties such as synchronicity, our work clarifies the way in which these structural properties arise as a result of the inherent structure of standard update frames themselves.