Modal Logics for Qualitative Possibility and Beliefs

Preprint

13 March 2013

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1303.5393

Abstract

Possibilistic logic has been proposed as a numerical formalism for reasoning with uncertainty. There has been interest in developing qualitative accounts of possibility, as well as an explanation of the relationship between possibility and modal logics. We present two modal logics that can be used to represent and reason with qualitative statements of possibility and necessity. Within this modal framework, we are able to identify interesting relationships between possibilistic logic, beliefs and conditionals. In particular, the most natural conditional definable via possibilistic means for default reasoning is identical to Pearl's conditional for e-semantics.

Keywords

QUALITATIVE POSSIBILITY
BELIEFS POSSIBILISTIC
POSSIBILISTIC LOGIC
MODAL LOGICS
UNCERTAINTY

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Version 1, 2013-03-13, ArXiv

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