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Logic Journal of IGPL Advance Access originally published online on September 25, 2007
Logic Journal of IGPL 2008 16(2):105-120; doi:10.1093/jigpal/jzm031
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Logics with the Qualitative Probability Operator

Zoran Ognjanovic

Matematicki institut SANU, Kneza Mihaila 35, 11000 Beograd, Serbia. E-mail: zorano{at}mi.sanu.ac.yu

Aleksandar Perovic

Saobracajni fakultet, Vojvode Stepe 305, 11000 Beograd, Serbia. E-mail: pera{at}sf.bg.ac.yu

Miodrag Raskovic

Matematicki institut SANU, Kneza Mihaila 35, 11000 Beograd, Serbia. E-mail: miodragm{at}mi.sanu.ac.yu


  Abstract

The paper presents several strongly complete axiomatizations of qualitative probability within the framework of probabilistic logic. We show that in the proposed semantics qualitative probabilities are characterized by probability functions, so they also are comparative probabilities.

Key Words: probability logic • qualitative probability • strong completeness • decidability

Received for publication 25 October 2006.
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