On the decidability of Presburger arithmetic expanded with powers

<p>We prove that for any integers &alpha;, &beta; &gt; 1, the existential fragment of the first-order theory of the structure ⟨Z; 0, 1, &lt;, +, &alpha;N, &beta;N⟩ is decidable (where &alpha; N is the set of positive integer powers of &alpha;, and likewise for &...

Full description

Bibliographic Details
Main Authors: Karimov, T, Luca, F, Nieuwveld, J, Ouaknine, J, Worrell, J
Format: Conference item
Language:English
Published: Society for Industrial and Applied Mathematics 2024