The Mirage of Universality in Cellular Automata - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2021

The Mirage of Universality in Cellular Automata

Abstract

This note is a survey of examples and results about cellular automata with the purpose of recalling that there is no 'universal' way of being computationally universal. In particular, we show how some cellular automata can embed efficient but bounded computation, while others can embed unbounded computations but not efficiently. We also study two variants of Boolean circuit embedding, transient versus repeatable simulations, and underline their differences. Finally we show how strong forms of universality can be hidden inside some seemingly simple cellular automata according to some classical dynamical parameters.
Fichier principal
Vignette du fichier
for_goles.pdf (148.99 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03461942 , version 1 (01-12-2021)

Identifiers

Cite

Guillaume Theyssier. The Mirage of Universality in Cellular Automata. 2021. ⟨hal-03461942⟩
42 View
43 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More