Communications in cellular automata

TL;DR

This paper explores how communication complexity can be used to analyze cellular automata, proposing that understanding communication protocols within their dynamics can reveal insights into their behavior.

Contribution

It introduces the application of communication complexity frameworks to cellular automata, focusing on protocols that elucidate their dynamic behavior.

Findings

Communication protocols can describe cellular automaton dynamics.

Understanding these protocols helps analyze automaton behavior.

The approach offers a new perspective on cellular automata analysis.

Abstract

The goal of this paper is to show why the framework of communication complexity seems suitable for the study of cellular automata. Researchers have tackled different algorithmic problems ranging from the complexity of predicting to the decidability of different dynamical properties of cellular automata. But the difference here is that we look for communication protocols arising in the dynamics itself. Our work is guided by the following idea: if we are able to give a protocol describing a cellular automaton, then we can understand its behavior.