On Repetitive Finite Automata with Translucent Words

Fuente: arXiv
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Main Authors: Mráz, František, Otto, Friedrich
Format: Preprint
Published: 2025
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author Mráz, František
Otto, Friedrich
author_facet Mráz, František
Otto, Friedrich
contents We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting or rejecting, but it may change into another state and continue with its computation. We establish that a repetitive DFAwtw already accepts a language that is not even semi-linear, which shows that the property of being repetitive increases the expressive capacity of the DFAwtw and the NFAwtw considerably.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15315
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Repetitive Finite Automata with Translucent Words
Mráz, František
Otto, Friedrich
Formal Languages and Automata Theory
F.1.1; F.4.3
We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting or rejecting, but it may change into another state and continue with its computation. We establish that a repetitive DFAwtw already accepts a language that is not even semi-linear, which shows that the property of being repetitive increases the expressive capacity of the DFAwtw and the NFAwtw considerably.
title On Repetitive Finite Automata with Translucent Words
topic Formal Languages and Automata Theory
F.1.1; F.4.3
url https://arxiv.org/abs/2507.15315