Propositional Dynamic Logic as a Logic of Belief Revision Vol. 5110 Lnai

(2008)
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Abstract

This paper shows how propositional dynamic logic can be interpreted as a logic for multi-agent belief revision. For that we revise and extend the logic of communication and change of [9]. Like LCC, our logic uses PDL as a base epistemic language. Unlike LCC, we start out from agent plausibilities, add their converses, and build knowledge and belief operators from these with the PDL constructs. We extend the update mechanism of LCC to an update mechanism that handles belief change as relation substitution, and we show that the update part of this logic is more expressive than either that of LCC or that of doxastic/epistemic PDL with a belief change modality. It is shown that the properties of knowledge and belief are preserved under any update, and that the logic is complete. © 2008 Springer-Verlag Berlin Heidelberg.

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Author Profiles

Yanjing Wang
Peking University
Jan Van Eijck
University of Amsterdam

Citations of this work

Dynamic Epistemic Logic for Implicit and Explicit Beliefs.Fernando R. Velázquez-Quesada - 2014 - Journal of Logic, Language and Information 23 (2):107-140.
General Dynamic Dynamic Logic.Patrick Girard, Jeremy Seligman & Fenrong Liu - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 239-260.
The language of social software.Jan van Eijck - 2010 - Synthese 177 (S1):77 - 96.

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