On Solving String Equations via Powers and Parikh Images

Fuente: arXiv
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Bibliographic Details
Main Authors: Eisenhofer, Clemens, Seiser, Theodor, Bjørner, Nikolaj S., Kovács, Laura
Format: Preprint
Published: 2026
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author Eisenhofer, Clemens
Seiser, Theodor
Bjørner, Nikolaj S.
Kovács, Laura
author_facet Eisenhofer, Clemens
Seiser, Theodor
Bjørner, Nikolaj S.
Kovács, Laura
contents We present a new approach for solving string equations as extensions of Nielsen transformations. Key to our work are the combination of three techniques: a power operator for strings; generalisations of Parikh images; and equality decomposition. Using these methods allows us to solve complex string equations, including less commonly encountered SMT inputs over strings.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05273
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Solving String Equations via Powers and Parikh Images
Eisenhofer, Clemens
Seiser, Theodor
Bjørner, Nikolaj S.
Kovács, Laura
Logic in Computer Science
We present a new approach for solving string equations as extensions of Nielsen transformations. Key to our work are the combination of three techniques: a power operator for strings; generalisations of Parikh images; and equality decomposition. Using these methods allows us to solve complex string equations, including less commonly encountered SMT inputs over strings.
title On Solving String Equations via Powers and Parikh Images
topic Logic in Computer Science
url https://arxiv.org/abs/2603.05273