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  1. A New Framework for Justification Logic.Alessandro Giordani - 2015 - Journal of Applied Non-Classical Logics 25 (4):308-323.
    The logic of justification provides an in-depth analysis of the epistemic states of an agent. This paper aims at solving some of the problems to which the common interpretation of the operators of justification logic is subject by providing a framework in which a crucial distinction between potential and explicit justifiers is exploited. The paper is subdivided into three sections. The first section offers an introduction to a basic system LJ of justification logic and to the problems concerning its interpretation. (...)
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  • Beliefs Supported by Binary Arguments.Chenwei Shi, Sonja Smets & Fernando R. Velázquez-Quesada - 2018 - Journal of Applied Non-Classical Logics 28 (2-3):165-188.
    In this paper, we explore the relation between an agent’s doxastic attitude and her arguments in support of a given claim. Our main contribution is the design of a logical setting that allows us reason about binary arguments which are either in favour or against a certain claim. This is a setting in which arguments and propositions are the basic building blocks so that the concept of argument-based belief emerges in a straightforward way. We work against the background of Dung’s (...)
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  • Substructural Epistemic Logics.Igor Sedlár - 2015 - Journal of Applied Non-Classical Logics 25 (3):256-285.
    The article introduces substructural epistemic logics of belief supported by evidence. The logics combine normal modal epistemic logics with distributive substructural logics. Pieces of evidence are represented by points in substructural models and availability of evidence is modelled by a function on the point set. The main technical result is a general completeness theorem. Axiomatisations are provided by means of two-sorted Hilbert-style calculi. It is also shown that the framework presents a natural solution to the problem of logical omniscience.
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  • Weak Arithmetical Interpretations for the Logic of Proofs.Roman Kuznets & Thomas Studer - 2016 - Logic Journal of the IGPL 24 (3):424-440.