Abstract
We consider belief revision involving conditional statements where the antecedent is almost certainly false. In order to represent such statements, we use Ordinal Conditional Functions that may take infinite values. In this manner, we are able to capture the intuition that the antecedent can not be verified by a finite number of observations. We define belief revision in this context through basic ordinal arithmetic, and we propose an approach to conditional revision in which only the right hypothetical levels are revised by conditional information. We compare our approach to existing work on conditional revision and belief improvement.
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References
Alchourrón, C.E., Gärdenfors, P., Makinson, D.: On the logic of theory change: partial meet functions for contraction and revision. J. Symbolic Logic 50(2), 510–530 (1985)
Darwiche, A., Pearl, J.: On the logic of iterated belief revision. Artif. Intell. 89(1–2), 1–29 (1997)
Hunter, A.: Infinite ordinals and finite improvement. In: van der Hoek, W., Holliday, W.H., Wang, W.-F. (eds.) LORI 2015. LNCS, vol. 9394, pp. 416–420. Springer, Heidelberg (2015)
Jin, Y., Thielscher, M.: Iterated belief revision, revised. Artif. Intell. 171(1), 1–18 (2007)
Kern-Isberner, G.: Postulates for conditional belief revision. In: Proceedings of IJCAI, pp. 186–191 (1999)
Katsuno, H., Mendelzon, A.O.: Propositional knowledge base revision and minimal change. Artif. Intell. 52(2), 263–294 (1992)
Konieczny, S.: Using transfinite ordinal conditional functions. In: Sossai, C., Chemello, G. (eds.) ECSQARU 2009. LNCS, vol. 5590, pp. 396–407. Springer, Heidelberg (2009)
Konieczny, S., Péréz, R.P.: Improvement operators. In: Eleventh International Conference on Principles of Knowledge Representation and Reasoning (KR 2008), pp. 177–186 (2008)
Spohn, W.: Ordinal conditional functions. a dynamic theory of epistemic states. In: Harper, W.L., Skyrms, B. (eds.) Causation in Decision, Belief Change, and Statistics, vol. II, vol. 42, pp. 105–134. Kluwer Academic Publishers, Netherlands (1988)
Williams, M.A..: Transmutations of knowledge systems. In: Proceedings of the Fourth International Conference on the Principles of Knowledge Representation and Reasoning (KR 1994), pp. 619–629 (1994)
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Hunter, A. (2016). Nearly Counterfactual Revision. In: Khoury, R., Drummond, C. (eds) Advances in Artificial Intelligence. Canadian AI 2016. Lecture Notes in Computer Science(), vol 9673. Springer, Cham. https://doi.org/10.1007/978-3-319-34111-8_32
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DOI: https://doi.org/10.1007/978-3-319-34111-8_32
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