Model-completeness and decidability of the additive structure of integers expanded with a function for a Beatty sequence-Reference-Cited by-同舟云学术

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Model-completeness and decidability of the additive structure of integers expanded with a function for a Beatty sequence

Published:2024-12 Issue:10 Volume:175 Page:103493
ISSN:0168-0072
Container-title:Annals of Pure and Applied Logic
language:en
Short-container-title:Annals of Pure and Applied Logic

Author:

Khani Mohsen,Valizadeh Ali N.^ORCID,Zarei Afshin^ORCID

Publisher

Elsevier BV

Reference12 articles.

1. On a decision method in restricted second order arithmetic;Büchi,1962

2. There are no intermediate structures between the group of integers and Presburger arithmetic;Conant;J. Symb. Log.,2018

3. Stable groups and expansions of (Z,+,0);Conant;Fundam. Math.,2018

4. Some properties of Beatty sequences II;Connell;Can. Math. Bull.,1960

5. The primes contain arbitrarily long arithmetic progressions;Green;Ann. Math.,2008

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