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arXiv · 2512.23403

A pumping-like lemma for languages over infinite alphabets

Yoav Danieli
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Abstract

We prove a kind of a pumping lemma for languages accepted by one-register alternating finite-memory automata. As a corollary, we obtain that the set of lengths of words in such languages is semi-linear.

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Yoav Danieli. 2025-12-29. A pumping-like lemma for languages over infinite alphabets. https://arxiv.org/abs/2512.23403

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