Two methods of constructing contractions and revisions of knowledge systems

Journal of Philosophical Logic 20 (2):149 - 173 (1991)
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Abstract

This paper investigates the formal relationship between two prominent approaches to the logic of belief change. The first one uses the idea of "relational partial meet contractions" as developed by Alchourrón, Gärdenfors and Makinson (Journal of Symbolic Logic 1985), the second one uses the concept of "epistemic entrenchment" as elaborated by Gärdenfors and Makinson (in Theoretical Aspects of Reasoning about Knowledge, M. Y. Vardi, Los Altos 1988). The two approaches are shown to be strictly equivalent via direct links between the underlying formal relations. The paper closes with observations about the application of epistemic entrenchment to simple and iterated revisions.

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Hans Rott
Universität Regensburg

Citations of this work

Nonmonotonic inference based on expectations.Peter Gärdenfors & David Makinson - 1994 - Artificial Intelligence 65 (2):197-245.
Shifting Priorities: Simple Representations for Twenty-seven Iterated Theory Change Operators.Hans Rott - 2009 - In Jacek Malinowski David Makinson & Wansing Heinrich (eds.), Towards Mathematical Philosophy. Springer. pp. 269–296.
Preferential belief change using generalized epistemic entrenchment.Hans Rott - 1992 - Journal of Logic, Language and Information 1 (1):45-78.
Irrevocable Belief Revision in Dynamic Doxastic Logic.Krister Segerberg - 1998 - Notre Dame Journal of Formal Logic 39 (3):287-306.

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