Simple Classes of Automatic Structures

We study two subclasses of the class of automatic structures: automatic structures of polynomial growth and Presburger structures. We present algebraic characterisations of the groups and the equivalence structures in these two classes.

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Publication Details

Journal
Logical Methods in Computer Science
Published
2026-01-09
DOI
https://doi.org/10.46298/lmcs-22(1:5)2026
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Simple Classes of Automatic Structures

Achim Blumensath
Logical Methods in Computer Science
Geometric and Algebraic Topology
article

Simple Classes of Automatic Structures

Achim Blumensath
article en

Abstract

We study two subclasses of the class of automatic structures: automatic structures of polynomial growth and Presburger structures. We present algebraic characterisations of the groups and the equivalence structures in these two classes.

Logical Methods in Computer ScienceVol. Volume 22, Issue 1
Masaryk University (CZ)
Openalex Percentile: Top 96%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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Simple Classes of Automatic Structures — Achim Blumensath · Logical Methods in Computer Science (2026) | TGRS Research Map | TGRS