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Implementing Modal and Relevance Logics in a Logical Framework.
1996We present a framework for machine implementation of both partial and complete fragments of large families of non-classical logics such as modal, relevance, and intuitionistic logics. We decompose a logic into two interacting parts, each a natural deduction system: a base logic of labelled formulae, and a theory of labels characterizing the properties ...
BASIN D., MATTHEWS S., VIGANO', Luca
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An Incompleteness Theorem for Modal Relevant Logics
Notre Dame Journal of Formal Logic, 2021Shawn Standefer
exaly
Relevance logics are a misunderstood lot. Despite being the subject of intense study for nearly a century, they remain maligned as too complicated, too abstruse, or too silly to be worth learning much about. This Element aims to dispel these misunderstandings.
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Neighbourhood Semantics for Modal Relevant Logics
Journal of Philosophical Logic, 2023Andrew Tedder, Nicholas Ferenz
exaly
Relevant logics are forms of non-classical logic that require the antecedent and consequent of implications to be relevantly related. They are paraconsistent logics, i.e. they are able to robustly handle contradictory information. The field of non-classical logics is rapidly expanding, particularly with the addition of modalities and quantifiers.
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Simplified Semantics for Relevant Logics (and Some of Their Rivals)
Journal of Philosophical Logic, 1993Greg Restall
exaly

