Annals of Pure and Applied Logic 171 (6):102795 (2020)

Abstract
This paper is devoted to understand groups definable in Presburger Arithmetic. We prove the following theorems: Theorem 1. Every group definable in a model of Presburger Arithmetic is abelian-by-finite. Theorem 2. Every bounded abelian group definable in a model of (Z, +, <) Presburger Arithmetic is definably isomorphic to (Z, +)^n mod out by a lattice.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.apal.2020.102795
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,447
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Presburger Sets and P-Minimal Fields.Raf Cluckers - 2003 - Journal of Symbolic Logic 68 (1):153-162.
Bounding Quantification in Parametric Expansions of Presburger Arithmetic.John Goodrick - 2018 - Archive for Mathematical Logic 57 (5-6):577-591.
Presburger Arithmetic with Unary Predicates is Π11 Complete.Joseph Y. Halpern - 1991 - Journal of Symbolic Logic 56 (2):637 - 642.
Definable Sets and Expansions of Models of Peano Arithmetic.Roman Murawski - 1988 - Archive for Mathematical Logic 27 (1):21-33.
Theories of Arithmetics in Finite Models.Michał Krynicki & Konrad Zdanowski - 2005 - Journal of Symbolic Logic 70 (1):1-28.
Rigid Models of Presburger Arithmetic.Emil Jeřábek - 2019 - Mathematical Logic Quarterly 65 (1):108-115.

Analytics

Added to PP index
2020-03-20

Total views
4 ( #1,167,060 of 2,326,391 )

Recent downloads (6 months)
4 ( #212,154 of 2,326,391 )

How can I increase my downloads?

Downloads

My notes