Dynamic Preference Logic meets Iterated Belief Change: Representation Results and Postulates Characterization

TL;DR

This paper explores how Dynamic Preference Logic, a type of Dynamic Epistemic Logic, can be used to analyze and characterize properties of belief change operators, especially in the context of iterated belief revision.

Contribution

It provides a novel application of Dynamic Preference Logic to study mathematical properties and postulates of belief change operators, bridging DEL and AGM frameworks.

Findings

Characterizes belief change postulates using Dynamic Preference Logic

Provides representation results for iterated belief change operators

Offers new insights into the logical properties of belief revision

Abstract

AGM's belief revision is one of the main paradigms in the study of belief change operations. Recently, several logics for belief and information change have been proposed in the literature and used to encode belief change operations in rich and expressive semantic frameworks. While the connections of AGM-like operations and their encoding in dynamic doxastic logics have been studied before by the work of Segerberg, most works on the area of Dynamic Epistemic Logics (DEL) have not, to our knowledge, attempted to use those logics as tools to investigate mathematical properties of belief change operators. This work investigates how Dynamic Preference Logic, a logic in the DEL family, can be used to study properties of dynamic belief change operators, focusing on well-known postulates of iterated belief change.