Complex Systems

Improved Majority Identification by the Coarsened
Majority Automaton Download PDF

David Peak
Charles G. Torre
Jenny R. Whiteley

Physics Department, Utah State University
Logan, Utah 84322


The initial majority identification task is a fundamental test problem in cellular automaton research. To pass the test, a two-state automaton has to attain a uniform configuration consisting of only the state that was initially in the majority. It does so solely through its local, internal dynamics—i.e., success in the task is an example of emergent computation. Finding new, better-performing automata continues to be of interest for what additional clues they might reveal about this form of computation. Here we describe a novel, coarsened version of one of the standard majority identifiers. We show that this coarsened system outperforms its parent automaton while significantly reducing the number of computations required to accomplish the task.

Keywords: cellular automata; majority identification; coarsened dynamics

Cite this publication as:
D. Peak, C. G. Torre and J. R. Whiteley, “Improved Majority Identification by the Coarsened Majority Automaton,” Complex Systems, 31(2), 2022 pp. 191–202.