Expressivity and completeness for public update logics via reduction axioms

Abstract
In this paper, we present several extensions of epistemic logic with update operators modelling public information change. Next to the well-known public announcement operators, we also study public substitution operators. We prove many of the results regarding expressivity and completeness using so-called reduction axioms. We develop a general method for using reduction axioms and apply it to the logics at hand
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DOI 10.3166/jancl.17.231-253
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References found in this work BETA
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2002 - Cambridge University Press.
Reasoning About Knowledge.Ronald Fagin (ed.) - 2003 - MIT Press.
Reasoning About Information Change.Jelle Gerbrandy & Willem Groeneveld - 1997 - Journal of Logic, Language and Information 6 (2):147-169.
The Secret of My Success.Van Ditmarsch Hans & Kooi Barteld - 2006 - Synthese 151 (2):201-232.

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Citations of this work BETA
Dynamic Logic for Belief Revision.Johan van Benthem - 2007 - Journal of Applied Non-Classical Logics 17 (2):129-155.
DEL-Sequents for Progression.Guillaume Aucher - 2011 - Journal of Applied Non-Classical Logics 21 (3-4):289-321.
Paraconsistent Dynamics.Patrick Girard & Koji Tanaka - 2016 - Synthese 193 (1):1-14.
Dynamics of Lying.Hans van Ditmarsch - 2013 - Synthese 191 (5):1-33.

View all 9 citations / Add more citations

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