EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 87(101), pp. 85–96 (2010)

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A LOGIC WITH CONDITIONAL PROBABILITY OPERATORS

Dragan Doder, Bojan Marinkovic,
Petar Maksimovic, and Aleksandar Perovic

Faculty of Mechanical Engineering, University of Belgrade, Serbia; Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, Serbia; Faculty of Traffic Engineering; University of Belgrade, Serbia

Abstract: We present a sound and strongly complete axiomatization of a reasoning about linear combinations of conditional probabilities, including comparative statements. The developed logic is decidable, with a PSPACE containment for the decision procedure.

Classification (MSC2000): 03B48

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