A precise proof of the n-variable Bekic principle

Jun Xu

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arXiv · 2512.24038

A precise proof of the n-variable Bekic principle

Jun Xu

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Abstract

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.

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Jun Xu. 2025-12-30. A precise proof of the n-variable Bekic principle. https://arxiv.org/abs/2512.24038

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