Solving promise equations over monoids and groups

Fuente: arXiv
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Autori principali: Larrauri, Alberto, Živný, Stanislav
Natura: Preprint
Pubblicazione: 2024
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author Larrauri, Alberto
Živný, Stanislav
author_facet Larrauri, Alberto
Živný, Stanislav
contents We give a complete complexity classification for the problem of finding a solution to a given system of equations over a fixed finite monoid, given that a solution over a more restricted monoid exists. As a corollary, we obtain a complexity classification for the same problem over groups.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08434
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Solving promise equations over monoids and groups
Larrauri, Alberto
Živný, Stanislav
Computational Complexity
Logic in Computer Science
We give a complete complexity classification for the problem of finding a solution to a given system of equations over a fixed finite monoid, given that a solution over a more restricted monoid exists. As a corollary, we obtain a complexity classification for the same problem over groups.
title Solving promise equations over monoids and groups
topic Computational Complexity
Logic in Computer Science
url https://arxiv.org/abs/2402.08434