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arXiv · 2305.04117

Weighted HOM-Problem for Nonnegative Integers

Andreas Maletti·Andreea-Teodora Nász·Erik Paul
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Abstract

The HOM-problem asks whether the image of a regular tree language under a given tree homomorphism is again regular. It was recently shown to be decidable by Godoy, Gim\'enez, Ramos, and \`Alvarez. In this paper, the N-weighted version of this problem is considered and its decidability is proved. More precisely, it is decidable in polynomial time whether the image of a regular N-weighted tree language under a nondeleting, nonerasing tree homomorphism is regular.

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Andreas Maletti, Andreea-Teodora Nász, Erik Paul. 2023-05-06. Weighted HOM-Problem for Nonnegative Integers. https://arxiv.org/abs/2305.04117

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