Belief contraction without recovery

Studia Logica 50 (2):251 - 260 (1991)
Abstract
The postulate of recovery is commonly regarded to be the intuitively least compelling of the six basic Gärdenfors postulates for belief contraction. We replace recovery by the seemingly much weaker postulate of core-retainment, which ensures that if x is excluded from K when p is contracted, then x plays some role for the fact that K implies p. Surprisingly enough, core-retainment together with four of the other Gärdenfors postulates implies recovery for logically closed belief sets. Reasonable contraction operators without recovery do not seem to be possible for such sets. Instead, however, they can be obtained for non-closed belief bases. Some results on partial meet contractions on belief bases are given, including an axiomatic characterization and a non-vacuous extension of the AGM closure condition.
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DOI 10.1007/BF00370186
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References found in this work BETA
Theory Contraction Through Base Contraction.André Fuhrmann - 1991 - Journal of Philosophical Logic 20 (2):175 - 203.
On the Status of the Postulate of Recovery in the Logic of Theory Change.David Makinson - 1987 - Journal of Philosophical Logic 16 (4):383 - 394.
New Operators for Theory Change.Svenove Hansson - 1989 - Theoria 55 (2):114-132.

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Citations of this work BETA
Theory Contraction and Base Contraction Unified.Sven Ove Hansson - 1993 - Journal of Symbolic Logic 58 (2):602-625.
A Survey of Multiple Contractions.André Fuhrmann & Sven Ove Hansson - 1994 - Journal of Logic, Language and Information 3 (1):39-75.
Severe Withdrawal (and Recovery).Hans Rott & Maurice Pagnucco - 1999 - Journal of Philosophical Logic 28 (5):501-547.
AGM 25 Years.Eduardo Fermé & Sven Ove Hansson - 2011 - Journal of Philosophical Logic 40 (2):295-331.
Outcome Level Analysis of Belief Contraction.Sven Ove Hansson - 2013 - Review of Symbolic Logic 6 (2):183-204.

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Recovery and Epistemic Residue.Sven Ove Hansson - 1999 - Journal of Logic, Language and Information 8 (4):421-428.
Changes of Disjunctively Closed Bases.Sven Ove Hansson - 1993 - Journal of Logic, Language and Information 2 (4):255-284.

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