In this paper, the authors investigate judgment aggregation by assuming that some formulas of the agenda are singled out as premisses, and the Independence condition (formula-wise aggregation) holds for them, though perhaps not for others.

La théorie de l’agrégation des jugements, ou, comme elle est ici conçue,de l’agrégation logique, généralise celle du choix social en faisant porter la règle d’agrégation sur des jugements quelconques au lieu des seuls jugements depréférence. Elle procède du paradoxe doctrinal de...

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and...