English

Classifying Rational Densities Using Two One-Dimensional Cellular Automata

adap-org 2009-10-30 v1 Condensed Matter Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.adap-org/9709003,
  title  = {Classifying Rational Densities Using Two One-Dimensional Cellular Automata},
  author = {H. F. Chau and K. K. Yan and K. Y. Wan and L. W. Siu},
  journal= {arXiv preprint arXiv:adap-org/9709003},
  year   = {2009}
}

Comments

Revtex 3.0 using amssymb.sty and multicol.sty, 3 pages