# Classifying Rational Densities Using Two One-Dimensional Cellular Automata

Source: [Classifying Rational Densities Using Two One-Dimensional Cellular Automata](<https://www.sota2.com/research/paper/68fa244f2c2a3760193a25e4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:03:37.711Z

Authors: H. F. Chau, K. K. Yan, K. Y. Wan, L. W. Siu

Published: 1997-09-09T12:41:27.000Z

## Abstract

Given a (finite) string of zeros and ones, we report a way to determine if the number of ones is less than, greater than, or equal to a prescribed number by applying two sets of cellular automaton rules in succession. Thus, we solve the general density classification problem using cellular automaton.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/adap-org/9709003>)

[PDF](<https://arxiv.org/pdf/adap-org/9709003.pdf>)