Authors: Rašković, Miodrag 
Ognjanović, Zoran 
Marković, Zoran 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Decidability of a conditional-probability logic with non-standard valued probabilities
First page: 201
Last page: 207
Conference: 11th Workshop on nonmonotonic reasoning NMR 11, 30 May to 1 June 2006, Lake District area, UK, 201--207, 2006
Editors: Dix, J.
Hunter, A.
Issue Date: 2006
Rank: M33
ISSN: 1860-8477
URL: http://www.in.tu-clausthal.de/uploads/media/NMR_Proc_TR4.pdf
Abstract: 
A probabilistic logic was defined in (Rašković, Ognjanović & Marković 2004; 2004) with probabilistic operators, both conditional and ”absolute”, which are applied to propositional formulas. The range of probabilistic operators is syntactically restricted to a recursive subset of a non standard interval *[0,1] which means that it contains infinitesimals. In this paper we prove the decidability of that logic. This means that the logicmay be a suitable candidate for AI applications such as, e.g. modelling the default reasoning.
Publisher: Institut für Informatik, Technische Universität Clausthal

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