Jakub Konieczny - Decidability of extensions of Presburger arithmetic by generalised polynomials

lmcs:14726 - Logical Methods in Computer Science, October 7, 2025, Volume 21, Issue 4 - https://doi.org/10.46298/lmcs-21(4:1)2025
Decidability of extensions of Presburger arithmetic by generalised polynomialsArticle

Authors: Jakub Konieczny

We show that the extension of Presburger arithmetic by a quadratic generalised polynomial of a specific form is undecidable.


Volume: Volume 21, Issue 4
Published on: October 7, 2025
Accepted on: June 8, 2025
Submitted on: November 12, 2024
Keywords: Number Theory, Logic

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