English

What's Decidable about Discrete Linear Dynamical Systems?

Dynamical Systems 2022-09-21 v2 Logic in Computer Science

Abstract

We survey the state of the art on the algorithmic analysis of discrete linear dynamical systems, focussing in particular on reachability, model-checking, and invariant-generation questions, both unconditionally as well as relative to oracles for the Skolem Problem.

Keywords

Cite

@article{arxiv.2206.11412,
  title  = {What's Decidable about Discrete Linear Dynamical Systems?},
  author = {Toghrul Karimov and Edon Kelmendi and Joël Ouaknine and James Worrell},
  journal= {arXiv preprint arXiv:2206.11412},
  year   = {2022}
}
R2 v1 2026-06-24T12:00:56.207Z