Determinization of Min-Plus Weighted Automata is Decidable

Fuente: arXiv
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Autores principales: Almagor, Shaull, Arbel, Guy, Sheinvald, Sarai
Formato: Preprint
Publicado: 2025
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author Almagor, Shaull
Arbel, Guy
Sheinvald, Sarai
author_facet Almagor, Shaull
Arbel, Guy
Sheinvald, Sarai
contents We show that the determinization problem for min-plus (tropical) weighted automata is decidable, thus resolving this long-standing open problem. In doing so, we develop a new toolbox for analyzing and reasoning about the run-structure of nondeterministic automata.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23826
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Determinization of Min-Plus Weighted Automata is Decidable
Almagor, Shaull
Arbel, Guy
Sheinvald, Sarai
Formal Languages and Automata Theory
Logic in Computer Science
We show that the determinization problem for min-plus (tropical) weighted automata is decidable, thus resolving this long-standing open problem. In doing so, we develop a new toolbox for analyzing and reasoning about the run-structure of nondeterministic automata.
title Determinization of Min-Plus Weighted Automata is Decidable
topic Formal Languages and Automata Theory
Logic in Computer Science
url https://arxiv.org/abs/2503.23826