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Acceptance Without Minimality

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Book cover Logics in Artificial Intelligence (JELIA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1919))

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Abstract

In the belief change literature, while the degree of belief (or disbelief) plays a crucial role, it is assumed that potential hypotheses that have neither been accepted nor rejected cannot be compared with each other in any meaningful manner. We start with the assumption that such hypotheses can be non-trivially compared with respect to their plausibility and argue that a comprehensive theory of acceptance should take into account the degree of beliefs (or disbeliefs) as well as the plausibility of such tenable hypotheses. After showing that such a comprehensive theory of acceptance based on the received principle of minimal change does not lend itself to iterated acceptance, we propose, examine and provide representation results for an alternative theory based on the principle of rejecting the worst that can handle repeated acceptance of evidence.

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References

  1. Carlos E. 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.

    Article  MATH  MathSciNet  Google Scholar 

  2. Didier Dubois and Henri Prade. Belief change and possibility theory. In Peter Gärdenfors, editor, Belief Revision, pages 142–182. Cambridge University Press, 1992.

    Google Scholar 

  3. Peter Gärdenfors. Knowledge in Flux: Modeling the Dynamics of Epistemic States. Bradford Books, MIT Press, Cambridge Massachusetts, 1988.

    Google Scholar 

  4. Peter Gärdenfors and David Makinson. Revisions of knowledge systems using epistemic entrenchment. In Proceedings of the Second Conference on Theoretical Aspect of Reasoning About Knowledge, pages 83–96, 1988.

    Google Scholar 

  5. Peter Gärdenfors and David Makinson. Nonmonotonic inference based on expectations. Artificial Intelligence, 65:197–245, 1994.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  7. Abhaya C. Nayak. Iterated belief change based on epistemic entrenchment. Erkenntnis, 41:353–390, 1994.

    Article  MathSciNet  Google Scholar 

  8. Abhaya C. Nayak and Norman Y. Foo. Reasoning without minimality. In Hing-Yan Lee and Hiroshi Motoda, editors, Proceedings of the Fifth Pacific Rim International Conference on Artificial Intelligence (PRICAI-98), pages 122–133. Springer Verlag, 1998.

    Google Scholar 

  9. Maurice Pagnucco. The Role of Abductive Reasoning within the Process of Belief revision. PhD thesis, University of Sydney, 1996. (http://www.comp.mq.edu.au/~ morri/Papers/morri.Phd.ps.gz).

  10. Gabrielle Paul. Approaches to abductive reasoning: An overview. Artificial Intelligence Review, 7:109–152, 1993.

    Article  Google Scholar 

  11. Wolfgang Spohn. Ordinal conditional functions: A dynamic theory of epistemic states. In WilliamL. Harper and Brian Skryms, editors, Causation in Decision, Belief Change, and Statistics, II, pages 105–134. Kluwer Academic Publishers, 1988.

    Google Scholar 

  12. Mary-Anne Williams. Transmutations of knowledge systems. In Jon Doyle, Erik Sandewall, and Pietro Torasso, editors, Proceedings of the Fourth International Conference on Principles of Knowledge Representation and Reasoning, pages 619–629. Morgan Kaufmann, 1994.

    Google Scholar 

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© 2000 Springer-Verlag Berlin Heidelberg

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Nayak, A.C. (2000). Acceptance Without Minimality. In: Ojeda-Aciego, M., de Guzmán, I.P., Brewka, G., Moniz Pereira, L. (eds) Logics in Artificial Intelligence. JELIA 2000. Lecture Notes in Computer Science(), vol 1919. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40006-0_12

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  • DOI: https://doi.org/10.1007/3-540-40006-0_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41131-4

  • Online ISBN: 978-3-540-40006-6

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