English

Notes about decidability of exponential equations

Group Theory 2021-05-17 v1

Abstract

We study relationship among versions of the Knapsack Problem where variables take values in Z and the number of them is fixed. In particular, we construct a finitely presented group where the problem of solvability of exponential equations with one variable is decidable but the corresponding problem for two variables is undecidable.

Keywords

Cite

@article{arxiv.2105.06842,
  title  = {Notes about decidability of exponential equations},
  author = {Oleg Bogopolski and Aleksander Ivanov},
  journal= {arXiv preprint arXiv:2105.06842},
  year   = {2021}
}

Comments

16 pages

R2 v1 2026-06-24T02:06:58.925Z