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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.08082 |
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Table of Contents:
- We investigate models of relations over a bounded continuous segment of real numbers, along with the natural linear order over the reals being provided as a "hard-coded" relation. This paper presents a generalization of a lemma from [Ben-Eliezer, Fischer, Levi and Yoshida, ITCS 2021], showing that with a small amount of modification (measured in terms of the Lebesgue measure) we can replace such a model with a "pixelated" one that has a finite description, in a way that preserves all universally quantified statements over the relations, or in other words, without adding any new substructures.