The logical meaning of Expansion

02/20/2002

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by   Daniel Lehmann, et al.

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Hebrew University of Jerusalem

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The Expansion property considered by researchers in Social Choice is shown to correspond to a logical property of nonmonotonic consequence relations that is the pure, i.e., not involving connectives, version of a previously known weak rationality condition. The assumption that the union of two definable sets of models is definable is needed for the soundness part of the result.