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arXiv · 1403.6512

Non-characterizability of belief revision: an application of finite model theory

Gyorgy Turan·Jon Yaggie
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Abstract

A formal framework is given for the characterizability of a class of belief revision operators, defined using minimization over a class of partial preorders, by postulates. It is shown that for partial orders characterizability implies a definability property of the class of partial orders in monadic second-order logic. Based on a non-definability result for a class of partial orders, an example is given of a non-characterizable class of revision operators. This appears to be the first non-characterizability result in belief revision.

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BibTeXRIS

Gyorgy Turan, Jon Yaggie. 2014-03-25. Non-characterizability of belief revision: an application of finite model theory. https://arxiv.org/abs/1403.6512

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