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Winter 1995 Constructive Modelings for Theory Change
Pavlos Peppas, Mary-Anne Williams
Notre Dame J. Formal Logic 36(1): 120-133 (Winter 1995). DOI: 10.1305/ndjfl/1040308831

Abstract

Alchourrón, Gärdenfors and Makinson have developed and investigated a set of rationality postulates which appear to capture much of what is required of any rational system of theory revision. This set of postulates describes a class of revision functions, however it does not provide a constructive way of defining such a function. There are two principal constructions of revision functions, namely an epistemic entrenchment and a system of spheres. We refer to their approach as the AGM paradigm. We provide a new constructive modeling for a revision function based on a nice preorder on models, and furthermore we give explicit conditions under which a nice preorder on models, an epistemic entrenchment, and a system of spheres yield the same revision function. Moreover, we provide an identity which captures the relationship between revision functions and update operators (as defined by Katsuno and Mendelzon).

Citation

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Pavlos Peppas. Mary-Anne Williams. "Constructive Modelings for Theory Change." Notre Dame J. Formal Logic 36 (1) 120 - 133, Winter 1995. https://doi.org/10.1305/ndjfl/1040308831

Information

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

zbMATH: 0844.03017
MathSciNet: MR1359110
Digital Object Identifier: 10.1305/ndjfl/1040308831

Subjects:
Primary: 03B60
Secondary: 03C90, 68T27

Rights: Copyright © 1995 University of Notre Dame

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Vol.36 • No. 1 • Winter 1995
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