Hill, L.C. and Paris, J.B.
(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 |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations |

Depositing User: | Professor Jeff Paris |

Date Deposited: | 17 May 2006 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | https://eprints.maths.manchester.ac.uk/id/eprint/251 |

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