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Bibliographic Details
Main Authors: Bayzid, Luke, Madeira, Alexandre, Martins, Manuel A.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.25880
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Table of Contents:
  • Representations are essential to mathematically model phenomena, but there are many options available. While each of those options provides useful properties with which to solve problems related to the phenomena in study, comparing results between these representations can be non-trivial, as different frameworks are used for different contexts. We present a general structure based on set-theoretic concepts that accommodates many situations related to logical and semantic frameworks. We show the versatility of this approach by presenting alternative constructions of modal logic; in particular, all modal logics can be represented within the framework.