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DYNAMIC GRADED EPISTEMIC LOGIC

Published online by Cambridge University Press:  12 July 2019

MINGHUI MA  and
HANS VAN DITMARSCH
MINGHUI MA*
Affiliation:
Institute of Logic and Cognition, Department of Philosophy, Sun Yat-Sen University
HANS VAN DITMARSCH*
Affiliation:
LORIA, CNRS, University of Lorraine
*
*INSTITUTE OF LOGIC AND COGNITION DEPARTMENT OF PHILOSOPHY, SUN YAT-SEN UNIVERSITY XINGANGXI ROAD 135, GUANGZHOU 510275, P. R. CHINA E-mail: mamh6@mail.sysu.edu.cn
†LORIA – CNRS/UNIVERSITY OF LORRAINE BP 239, 54506 VANDOEUVRE LES NANCY, FRANCE E-mail: hans.van-ditmarsch@loria.fr
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Abstract

Graded epistemic logic is a logic for reasoning about uncertainties. Graded epistemic logic is interpreted on graded models. These models are generalizations of Kripke models. We obtain completeness of some graded epistemic logics. We further develop dynamic extensions of graded epistemic logics, along the framework of dynamic epistemic logic. We give an extension with public announcements, i.e., public events, and an extension with graded event models, a generalization also including nonpublic events. We present complete axiomatizations for both logics.

Keywords

03B4203B45graded epistemic logicgraded modelsdynamics
Type
Research Article
Information
The Review of Symbolic Logic , Volume 12 , Issue 4 , December 2019 , pp. 663 - 684
Copyright
Copyright © Association for Symbolic Logic 2019 

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