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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