Explicit affine formulas for distances between tuples in classical discrete structures

Arthur Molina-Mounier

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arXiv · 2603.07623

Explicit affine formulas for distances between tuples in classical discrete structures

Arthur Molina-Mounier

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Abstract

Answering a question of Ben Yaacov, Ibarluc\'ia, and Tsankov [5], we show an explicit way to construct an affine formula for the distance between two $n$-tuples in a $\{0,1\}$-valued $\varnothing$-structure, using $\lceil \log_2 n \rceil$ quantifier alternations.

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BibTeX RIS

Arthur Molina-Mounier. 2026-03-08. Explicit affine formulas for distances between tuples in classical discrete structures. https://arxiv.org/abs/2603.07623

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