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A precise proof of the n-variable Bekic principle

Published: December 30, 2025 | arXiv ID: 2512.24038v1

By: Jun Xu

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.

Category
Computer Science:
Logic in Computer Science