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Winter 1995 On the Revision of Probabilistic Belief States
Craig Boutilier
Notre Dame J. Formal Logic 36(1): 158-183 (Winter 1995). DOI: 10.1305/ndjfl/1040308833

Abstract

In this paper we describe two approaches to the revision of probability functions. We assume that a probabilistic state of belief is captured by a counterfactual probability or Popper function, the revision of which determines a new Popper function. We describe methods whereby the original function determines the nature of the revised function. The first is based on a probabilistic extension of Spohn's OCFs, whereas the second exploits the structure implicit in the Popper function itself. This stands in contrast with previous approaches that associate a unique Popper function with each absolute (classical) probability function. We also describe iterated revision using these models. Finally, we consider the point of view that Popper functions may be abstract representations of certain types of absolute probability functions, but we show that our revision methods cannot be naturally interpreted as conditionalization on these functions.

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Craig Boutilier. "On the Revision of Probabilistic Belief States." Notre Dame J. Formal Logic 36 (1) 158 - 183, Winter 1995. https://doi.org/10.1305/ndjfl/1040308833

Information

Published: Winter 1995
First available in Project Euclid: 19 December 2002

zbMATH: 0844.03016
MathSciNet: MR1359112
Digital Object Identifier: 10.1305/ndjfl/1040308833

Subjects:
Primary: 03B48
Secondary: 68T27, 68T30

Rights: Copyright © 1995 University of Notre Dame

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Vol.36 • No. 1 • Winter 1995
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