Journal of Applied Non-Classical Logics 25 (3):256-285 (2015)
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| Abstract |
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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| Keywords | Belief Epistemic logic Substructural logic |
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| DOI | 10.1080/11663081.2015.1094313 |
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References found in this work BETA
Knowledge and Belief: An Introduction to the Logic of the Two Notions.Jaakko Hintikka - 1962 - Ithaca: Cornell University Press.
Reasoning About Knowledge.Ronald Fagin, Joseph Y. Halpern, Yoram Moses & Moshe Vardi - 1995 - MIT Press.
Knowledge and Belief: An Introduction to the Logic of the Two Notions.Jaakko Hintikka - 1962 - Studia Logica 16:119-122.
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Citations of this work BETA
Tracking Reasons with Extensions of Relevant Logics.Shawn Standefer - 2019 - Logic Journal of the IGPL 27 (4):543-569.
From Positive PDL to its Non-Classical Extensions.Igor Sedlár & Vít Punčochář - 2019 - Logic Journal of the IGPL 27 (4):522-542.
The Fundamental Problem of Logical Omniscience.Peter Hawke, Aybüke Özgün & Francesco Berto - 2020 - Journal of Philosophical Logic 49 (4):727-766.
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