Relating Semantics for Epistemic Logic

Alessandro Giordani

doi:10.12775/LLP.2021.024

Authors

Alessandro Giordani Department of Philosophy, Catholic University of Milan https://orcid.org/0000-0003-4654-2174

DOI:

https://doi.org/10.12775/LLP.2021.024

Keywords

relating semantics, epistemic logic, justification logic

Abstract

The aim of this paper is to explore the advantages deriving from the application of relating semantics in epistemic logic. As a first step, I will discuss two versions of relating semantics and how they can be differently exploited for studying modal and epistemic operators. Next, I consider several standard frameworks which are suitable for modelling knowledge and related notions, in both their implicit and their explicit form and present a simple strategy by virtue of which they can be associated with intuitive systems of relating logic. As a final step, I will focus on the logic of knowledge based on justification logic and show how relating semantics helps us to provide an elegant solution to some problems related to the standard interpretation of the explicit epistemic operators.

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