A survey of multiple contractions

Abstract
The AGM theory of belief contraction is extended tomultiple contraction, i.e. to contraction by a set of sentences rather than by a single sentence. There are two major variants: Inpackage contraction all the sentences must be removed from the belief set, whereas inchoice contraction it is sufficient that at least one of them is removed. Constructions of both types of multiple contraction are offered and axiomatically characterized. Neither package nor choice contraction can in general be reduced to contractions by single sentences; in the finite case choice contraction allows for reduction.
Keywords belief revision  belief contraction  theory change
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DOI 10.1007/BF01066356
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References found in this work BETA
Multiple-Conclusion Logic.D. J. Shoesmith - 1978 - Cambridge University Press.
Theory Contraction Through Base Contraction.André Fuhrmann - 1991 - Journal of Philosophical Logic 20 (2):175 - 203.

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Citations of this work BETA
AGM 25 Years: Twenty-Five Years of Research in Belief Change.Eduardo Fermé & Sven Ove Hansson - 2011 - Journal of Philosophical Logic 40 (2):295 - 331.
System of Spheres-Based Multiple Contractions.Eduardo Fermé & Maurício D. L. Reis - 2012 - Journal of Philosophical Logic 41 (1):29-52.
AGM 25 Years.Eduardo Fermé & Sven Ove Hansson - 2011 - Journal of Philosophical Logic 40 (2):295-331.

View all 25 citations / Add more citations

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