A Note on Proper Relational Structures

Adam Bjorndahl; Philip Sink

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arXiv · 2506.17142

A Note on Proper Relational Structures

Adam Bjorndahl·Philip Sink

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Abstract

In this note we provide an algorithm for translating relational structures into "proper" relational structures, i.e., those such that there is no pair of worlds w and u such that w is accessible from u for every agent. In particular, our method of translation preserves many classical properties of relational structures, such as transitivity and the Euclidean property. As a result, this method of translation has many applications in the literature on Simplicial Semantics for modal logic, where the creation of proper canonical relational structures is a common step in proofs of completeness.

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Adam Bjorndahl, Philip Sink. 2025-06-20. A Note on Proper Relational Structures. https://arxiv.org/abs/2506.17142

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