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A pumping-like lemma for languages over infinite alphabets

Published: December 29, 2025 | arXiv ID: 2512.23403v1

By: Yoav Danieli

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.

Category
Computer Science:
Formal Languages and Automata Theory