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Introducing Justification into Epistemic Logic

Authors: Sergei N. Artëmov; Elena Nogina;

Introducing Justification into Epistemic Logic

Abstract

Plato's tripartite definition of knowledge as justified true belief (JTB) is generally regarded as a set of necessary conditions for the possession of knowledge. The true belief components the JTB definition are represented in formal epistemology by modal logic and its possible worlds semantics. At the same time, the justification component of Plato's definition did not have a formal representation. This paper introduces the notion of justification into formal epistemology. Epistemic logic with justification, along with the usual knowledge operator F (F is known), contains assertions t:F (t is a justification for F). We study two basic systems, S4LP and S4LPN, of epistemic logic with justification and show completeness with respect to natural epistemic semantics, which augments Kripke models with a natural Fitting-style treatment of justification assertions t:F. Some new specific properties of epistemic logic with justification are established.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
106
Top 10%
Top 1%
Top 10%
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