An outline of a dynamic theory of frames

Abstract

In this article we present an extension to the theory of frames developed in Petersen (2007). Petersen's theory only applies to concepts for persistent objects like trees or dogs but not to concepts for actions and events that are inherently dynamic because they describe factual changes in the world. Basic frames are defined as Kripke-models. In order to represent the dynamic dimension one needs in addition both combinations of and transformation between such models. Combinations of Kripke-models are used for temporalization (representing stages of objects and the temporal development of events) and refinement (representing the internal structure of objects). Such combinations are defined using techniques from Finger & Gabbay (1992) and Blackburn & de Rijke (1997). Transformations between Kripke-models are used to represent the factual changes brought about by events. Such transformations are defined using strategies from Dynamic Logic and Dynamic Epistemic Logic, Van Benthem et al. (2005). © 2013 Springer-Verlag.