A probability threshold belief set is deductively closed exactly when the distribution has a step, and the new revision rule is the minimal Kullback-Leibler change that raises the new statement to the threshold.
In: Proceedings of the11thConferenceonUncertaintyinArtificialIntelligence(UAI’95).pp.149–156
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On Lockean beliefs that are deductively closed and minimal change
A probability threshold belief set is deductively closed exactly when the distribution has a step, and the new revision rule is the minimal Kullback-Leibler change that raises the new statement to the threshold.