Authors: Ilić Stepic , Angelina 
Ognjanović, Zoran 
Title: Logics to formalise p-adic valued probability and their applications
Journal: International Journal of Parallel, Emergent and Distributed Systems
Volume: 33
Issue: 3
First page: 257
Last page: 275
Issue Date: 4-May-2018
Rank: M52
ISSN: 1744-5760
DOI: 10.1080/17445760.2017.1418871
Abstract: 
In this paper, we focus on the main results which we have developed to obtain different propositional logics for reasoning about p-adic valued probabilities. Each of these logics is a sound, complete, and decidable extension of classical propositional logic. Also, we show some applications of these logics in modelling cognitions.
Keywords: conditional probability | default reasoning | p-adic coding | p-adic distances | p-adic probability | p-adic probability logics
Publisher: Taylor and Francis Ltd.
Project: 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 
Representations of logical structures and formal languages and their application in computing 

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