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Journal of Logic and Computation Advance Access published online on September 17, 2009
Journal of Logic and Computation, doi:10.1093/logcom/exp061
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© The Author, 2009. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

A Notion of Coherence for Books on Conditional Events in Many-valued Logic

Franco Montagna

Department of Mathematics and Computer Science, University of Siena Pian dei Mantellini 44,53100 Siena, Italy.
E-mail: montagna{at}unisi.it

Received 12 August 2008.


  Abstract

We introduce a new approach to conditional probability over many-valued events, which is based on bets. Then we show that this approach fits with Kroupa's approach, and we give two characterizations of coherence for books on conditional many-valued events, the first one based on states, and the second one based on logical coherence of a suitable theory on many-valued logic.

Keywords: States; conditional probability; SPMV+ algebras


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