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2006.92: When maximising entropy gives the rational closure

2006.92: L.C. Hill and J.B. Paris (2003) When maximising entropy gives the rational closure. Journal of Logic and Computation, 13 (1). pp. 51-68. ISSN 0955-792X

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Abstract

We introduce a generalization of epsilon-probability functions and a new correspondence with rational consequence relations. The rational consequence relations corresponding to the generalized epsilon-probability functions of maximum entropy are investigated and it is shown that in this case the analogous notion of `maximum entropy closure' equals the rational closure, thus reconfirming the rational closure of a conditional knowledge base as the simplest, least prejudiced, rational consequence relation satisfying that knowledge base.

Item Type:Article
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MIMS number:2006.92
Deposited By:Professor Jeff Paris
Deposited On:17 May 2006

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