Dynamic logic of preference upgrade


Authors
Johan Van Benthem
University of Amsterdam
Abstract
Statements not only update our current knowledge, but also have other dynamic effects. In particular, suggestions or commands ?upgrade' our preferences by changing the current order among worlds. We present a complete logic of knowledge update plus preference upgrade that works with dynamic-epistemic-style reduction axioms. This system can model changing obligations, conflicting commands, or ?regret'. We then show how to derive reduction axioms from arbitrary definable relation changes. This style of analysis also has a product update version with preferences between actions, as well as worlds. Some illustrations are presented involving defaults and obligations. We conclude that our dynamic framework is viable, while admitting a further extension to more numerical ?utility update'
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DOI 10.3166/jancl.17.157-182
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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.) - 1995 - MIT Press.
Dynamic Logic for Belief Revision.Johan van Benthem - 2007 - Journal of Applied Non-Classical Logics 17 (2):129-155.

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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.
Logic and Semantics for Imperatives.Nate Charlow - 2014 - Journal of Philosophical Logic 43 (4):617-664.
Dynamic Logic of Preference Upgrade.Johan van Benthem & Fenrong Liu - 2007 - Journal of Applied Non-Classical Logics 17 (2):157-182.
Toward a Dynamic Logic of Questions.Johan van Benthem & Ştefan Minică - 2012 - Journal of Philosophical Logic 41 (4):633-669.

View all 45 citations / Add more citations

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