A precise proof of the n-variable Bekic principle

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1. Verfasser: Xu, Jun
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Veröffentlicht: 2025
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author Xu, Jun
author_facet Xu, Jun
contents We provide a proof of the $n$-ary Bekič principle, which states that a vectorial fixpoint of size $n$ can be written in terms of nested fixpoints in each coordinate according to lexicographic order. The proof is inductive.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24038
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A precise proof of the n-variable Bekic principle
Xu, Jun
Logic in Computer Science
We provide a proof of the $n$-ary Bekič principle, which states that a vectorial fixpoint of size $n$ can be written in terms of nested fixpoints in each coordinate according to lexicographic order. The proof is inductive.
title A precise proof of the n-variable Bekic principle
topic Logic in Computer Science
url https://arxiv.org/abs/2512.24038