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Part of the book series: Applied Logic Series ((APLS,volume 22))

Abstract

One of the major recent developments in the theory of belief change is the construction of models of belief change in which one or more of the postulates of the original AGM model [Alchourrón et al., 1985] are not satisfied. In studies of belief revision (consistency-preserving incorporation of new beliefs), the most controversial postulate seems to be that of success (αK*α), according to which the input sentence is always accepted, and incorporated into the new belief set. Several non-prioritized revision operators have been proposed, for which the success postulate does not hold. (See [Cantwell, 1997; Fermé and Hansson, 1999; Hansson, 1991a; Hansson, 1997; Hansson et al.,1999; Makinson, 1997; Olsson, 1997], and, for an overview, [Hansson, 1999b].)

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References

  1. Alchourrón and Makinson, 19821 Carlos Alchourrón and David Makinson. 01 he logic of theory change: Contraction functions and their associated revision functions. Theoria, 48, 14–37, 1982.

    MathSciNet  Google Scholar 

  2. Carlos Alchourrón, Peter Gärdenfors, and David Makinson. On the logic of theory change: Partial meet contraction and revision functions. Journal of Symbolic Logic,50 510–530, 1985.

    Google Scholar 

  3. John Cantwell. On the logic of small change in hypertheories. Theoria, 63, 54–89, 1997.

    Article  MathSciNet  Google Scholar 

  4. Fermé, 19981 Eduardo Fermé. On the logic of theory change: Contraction without recovery. Journal of Logic, Language and Information, 7, 127–137, 1998.

    Article  MATH  Google Scholar 

  5. Fermé, 20001 Eduardo Fermé. Five faces of recovery. This volume, 2000.

    Google Scholar 

  6. Eduardo Fermé and Sven Ove Hansson. Selective revision. Studia Logica,in press.

    Google Scholar 

  7. Norman Foo. Observation on AGM entrenchment. Computer Science Technical Report 389. University of Sydney, 1990.

    Google Scholar 

  8. Gärdenfors and Makinson, 19881 Peter Gärdenfors and David Makinson. Revisions of knowledge systems using epistemic entrenchment. In Moshe Y. Vardi, editor, Proceedings of the Second Conference on Theoretical Aspects of Reasoning About Knowledge, pages 83–95, Los Altos, 1988. Morgan Kaufmann.

    Google Scholar 

  9. Peter Gärdenfors. Knowledge in Flux: Modeling the Dynamics of Epistemic States. The MIT Press, Cambridge, 1988.

    MATH  Google Scholar 

  10. Adam Grove. Two modellings for theory change. Journal of Philosophical Logic, 17, 157–170, 1988.

    MathSciNet  MATH  Google Scholar 

  11. Sven Ove Hansson, Eduardo Fermé, John Cantwell, and Marcelo Falappa. Credibility-limited revision. (manuscript), 1999.

    Google Scholar 

  12. Sven Ove Hansson. Belief Base Dynamics. PhD thesis, Uppsala University, 1991.

    Google Scholar 

  13. Sven Ove Hansson. Belief contraction without recovery. Studia Logica, 50, 25 1260, 1991.

    Google Scholar 

  14. Sven Ove Hansson. A test battery for rational database updating. Artificial Intelligence, 82, 341–352, 1996.

    Article  MathSciNet  Google Scholar 

  15. Sven Ove Hansson. Semi-revision. Journal of Applied Non-Classical Logic, 7, 15 1175, 1997.

    Google Scholar 

  16. Sven Ove Hansson. Recovery and epistemic residue. Journal of Logic, Language and Information,1999. (In press).

    Google Scholar 

  17. Hansson, 1999b1 Sven Ove Hansson. A survey of non-prioritized belief revision. Erkenntnis, 50, 413–427, 1999.

    Article  MathSciNet  MATH  Google Scholar 

  18. Sven Ove Hansson. A Textbook of Belief Dynamics. Kluwer Academic Publishers, Dordrecht, 1999.

    Book  MATH  Google Scholar 

  19. Isaac Levi. The fixation of belief and its undoing: changing beliefs through inquiry. Cambridge University Press, Cambridge, 1991.

    Book  Google Scholar 

  20. Isaac Levi. Contraction and informational value. (manuscript), 1997.

    Google Scholar 

  21. Lindström and Rabinowicz, 19911 Sten Lindstrom and Wlodek Rabinowicz. Epistemic entrenchment with incomparabilities and relational belief revision. In Fuhrmann and Morreau, editors, The Logic of Theory Change, pages 93–126, Berlin, 1991. Springer-Verlag.

    Google Scholar 

  22. David Makinson. On the status of the postulate of recovery in the logic of theory change. Journal of Philosophical Logic, 16, 383–394, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  23. David Makinson. On the force of some apparent counterexamples to recovery. In E. Garz6n Valdéz et al., editor, Normative Systems in Legal and Moral Theory: Festschrift for Carlos Alchourrón and Eugenio Bulygin,pages 475–481, Berlin, 1997. Duncker und Humblot.

    Google Scholar 

  24. David Makinson. Screened revision. Theoria, 63, 14–23, 1997.

    Article  MathSciNet  Google Scholar 

  25. Abhaya Nayak. Foundational belief change. Journal of Philosophical Logic, 23, 495533, 1994.

    Google Scholar 

  26. Niederée, 19911 Reinhard Niederée. Multiple contraction: A further case against Gärdenfors’ principle of recovery. In Fuhrmann and Morreau, editors, The Logic of Theory Change, pages 322–334, Berlin, 1991. Springer-Verlag.

    Google Scholar 

  27. Erik Olsson. Coherence. PhD thesis, Uppsala University, 1997.

    Google Scholar 

  28. Hans Rott and Maurice Pagnucco. Severe withdrawal (and recovery). Journal of Philosophical Logic,28 501–547, 1999.

    Google Scholar 

  29. Hans Rott. Preferential belief change using generalized epistemic entrenchment. Journal of Logic, Language and Information, 1, 45–78, 1992.

    MATH  Google Scholar 

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Fermé, E.L., Hansson, S.O. (2001). Shielded Contraction. In: Williams, MA., Rott, H. (eds) Frontiers in Belief Revision. Applied Logic Series, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9817-0_4

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  • DOI: https://doi.org/10.1007/978-94-015-9817-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5720-4

  • Online ISBN: 978-94-015-9817-0

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