A Succinct Language for Dynamic Epistemic Logic

Dynamic epistemic logic (DEL) is an extension of modal multi-agent epistemic logic with dynamic operators. We propose a succinct version of DEL where Kripke models and event models are described succinctly. Our proposal relies on Dynamic logic of propositional assignments (DLPA): epistemic relations are described with so-called accessibility programs written in DLPA. We give examples of models that are exponentially more succinct in our framework. Interestingly, the model checking of DEL is PSPACE-complete and we show that it remains in PSPACE for the succinct version.