On the logic of theory change: iteration of expansion View Full Text


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Article Info

DATE

2018-12

AUTHORS

Eduardo Fermé, Renata Wassermann

ABSTRACT

Constructing models that allow for iterated changes is one of the most studied problems in the literature on belief change. However, up to now, iteration of expansion was only studied as a special case of consistent revision and, as far we know, there is no work in the literature that deals with expansions into inconsistency in a supraclassical framework. In this paper, we provide a semantics for iterated expansion, as well as its axiomatic characterization. We extend the model to two well-known families of iterated belief change (natural and lexicographic). Iteration of expansion can be combined with existent models of iteration of revision and contraction. Since we are able to accommodate different inconsistent belief states, iteration of expansion allows us to define new belief change functions that are currently only defined for belief bases: semi-revision, external revision, as well as consolidation. More... »

PAGES

8

References to SciGraph publications

  • 2006. Taking Levi Identity Seriously: A Plea for Iterated Belief Contraction in KNOWLEDGE SCIENCE, ENGINEERING AND MANAGEMENT
  • 1999. A Textbook of Belief Dynamics, Solutions to exercises in NONE
  • 2002-02. Local Change in STUDIA LOGICA
  • 1994-11. Iterated belief change based on epistemic entrenchment in ERKENNTNIS
  • 2017-09-14. On Iterated Contraction: Syntactic Characterization, Representation Theorem and Limitations of the Levi Identity in SCALABLE UNCERTAINTY MANAGEMENT
  • 2008-10. Iterated Belief Change and the Recovery Axiom in JOURNAL OF PHILOSOPHICAL LOGIC
  • 2002. Towards Mathematical Morpho-Logics in TECHNOLOGIES FOR CONSTRUCTING INTELLIGENT SYSTEMS 2
  • 1996-06. Iterated revision and minimal change of conditional beliefs in JOURNAL OF PHILOSOPHICAL LOGIC
  • 1999-05. A Survey of non-Prioritized Belief Revision in ERKENNTNIS
  • 1993-12. Reversing the Levi identity in JOURNAL OF PHILOSOPHICAL LOGIC
  • 2014. A Panorama of Iterated Revision in DAVID MAKINSON ON CLASSICAL METHODS FOR NON-CLASSICAL PROBLEMS
  • 2012-02. Three Approaches to Iterated Belief Contraction in JOURNAL OF PHILOSOPHICAL LOGIC
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13173-018-0072-4

    DOI

    http://dx.doi.org/10.1186/s13173-018-0072-4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1105321809


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