Revocable Belief Revision

  • Authors:
  • Hans Ditmarsch

  • Affiliations:
  • LORIA, CNRS --- Université de Lorraine, Vanduvre-lès-Nancy, France

  • Venue:
  • Studia Logica
  • Year:
  • 2013

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Abstract

Krister Segerberg proposed irrevocable belief revision, to be contrasted with standard belief revision, in a setting wherein belief of propositional formulas is modelled explicitly. This suggests that in standard belief revision is revocable: one should be able to unmake (`revoke') the fresh belief in the revision formula, given yet further information that contradicts it. In a dynamic epistemic logical setting for belief revision, for multiple agents, we investigate what the requirements are for revocable belief revision. By this we not merely mean recovering belief in non-modal propositions, as in the recovery principle for belief contraction, but recovering belief in modal propositions: beliefs about beliefs. These requirements are almost never met, a surprising result.