An operational approach to belief revision

A deduction system, called RE-proof system, is constructed for generating the revisions of first order belief sets. When a belief set is rejected by a given fact, all maximal subsets of the belief set consistent with the fact can be deduced from the proof system. The soundness and completeness of the RE-proof system are proved, which imply that there exists a resolution method to decide whether a revision retains a maximal subset of a belief set.