Dynamic logic of preference upgrade

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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References found in this work BETA
Adam Grove (1988). Two Modellings for Theory Change. Journal of Philosophical Logic 17 (2):157-170.
Samuel Scheffler (1997). Relationships and Responsibilities. Philosophy and Public Affairs 26 (3):189–209.

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Citations of this work BETA
Nate Charlow (2014). Logic and Semantics for Imperatives. Journal of Philosophical Logic 43 (4):617-664.

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