$x$ Plays Pokemon, for Almost-Every $x$
History and Overview
2025-12-30 v1 Formal Languages and Automata Theory
Combinatorics
Abstract
This paper provides a brief write-up showing that for any finite state game, a disjunctive number will eventually win that game. The proof techniques here are well known and this result follows immediately from folklore results in graph theory and cellular automata. This short paper primarily serves as an expositional piece to collect this proof with the fun context of Plays Pok\'emon serving as motivation.
Keywords
Cite
@article{arxiv.2512.23143,
title = {$x$ Plays Pokemon, for Almost-Every $x$},
author = {C. Evans Hedges},
journal= {arXiv preprint arXiv:2512.23143},
year = {2025}
}