English

A new version of Toom's proof

Formal Languages and Automata Theory 2021-05-14 v1 Probability

Abstract

There are several proofs now for the stability of Toom's example of a two-dimensional stable cellular automaton and its application to fault-tolerant computation. Simon and Berman simplified and strengthened Toom's original proof: the present report is a simplified exposition of their proof.

Cite

@article{arxiv.2105.05968,
  title  = {A new version of Toom's proof},
  author = {Peter Gacs},
  journal= {arXiv preprint arXiv:2105.05968},
  year   = {2021}
}
R2 v1 2026-06-24T02:03:29.793Z