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# Logical Approximations of Qualitative Probability

*Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications*, PMLR 147:12-21, 2021.

#### Abstract

We provide approximations of qualitative probability, that is, comparative structures which are representable by probability measures. We introduce sequences of qualitative belief structures, based on the ideas of Depth-Bounded logics D’Agostino et al. (2013b), and identify the conditions under which:

- a qualitative sequence
*approximates*a qualitative probability; - a qualitative probability can be approximated.