| Authors: | Doder, Dragan Savić, Nenad Ognjanović, Zoran |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Multi-agent Logics for Reasoning About Higher-Order Upper and Lower Probabilities | Journal: | Journal of Logic, Language and Information | Volume: | 29 | First page: | 77 | Last page: | 107 | Issue Date: | 1-Jan-2020 | Rank: | M21 | ISSN: | 0925-8531 | DOI: | 10.1007/s10849-019-09301-7 | Abstract: | We present a propositional and a first-order logic for reasoning about higher-order upper and lower probabilities. We provide sound and complete axiomatizations for the logics and we prove decidability in the propositional case. Furthermore, we show that the introduced logics generalize some existing probability logics. |
Keywords: | Completeness theorem | Decidability | Probabilistic logic | Upper and lower probabilities | Publisher: | Springer Link | Project: | Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security Representations of logical structures and formal languages and their application in computing |
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