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Journal of Logic and Computation Advance Access published online on April 27, 2008
Journal of Logic and Computation, doi:10.1093/logcom/exn008
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© The Author, 2008. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

Geodesic Revision

Konstantinos Georgatos

Department of Mathematics and Computer Science, John Jay College, City University of New York, 445 West 59th Street, New York, NY 10019, USA.
E-mail: kgeorgatos{at}jjay.cuny.edu

Received 17 February 2007.


  Abstract

The purpose of this article is to introduce a class of distance-based iterated revision operators generated by minimizing the geodesic distance on a graph. Such operators correspond bijectively to metrics and have a simple finite presentation. As distance is generated by distinguishability, our framework is appropriate for modelling contexts where distance is generated by threshold, and therefore, when measurement is erroneous.

Keywords: Belief revision; distance-based reasoning; similarity; indistinguishability; indiscernibility


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