Expansions of the group of integers by Beatty sequences

DOI10.1016/j.apal.2021.103062zbMath1497.03053arXiv2010.10441OpenAlexW3215829138MaRDI QIDQ2067513

Melissa Özsahakyan, Ayhan Günaydın

Publication date: 18 January 2022

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10441

zbMATH Keywords

Beatty sequencesdp-minimalityexpansions of integers

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Automata sequences (11B85) Model theory of ordered structures; o-minimality (03C64) Quantifier elimination, model completeness, and related topics (03C10) Categoricity and completeness of theories (03C35)

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• THERE ARE NO INTERMEDIATE STRUCTURES BETWEEN THE GROUP OF INTEGERS AND PRESBURGER ARITHMETIC
• F -structures and integral points on semiabelian varieties over finite fields

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