Max-plus generalization of Conway’s game of life

Kotaro Sakata, Yuta Tanaka, Daisuke Takahashi

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a max-plus equation that includes Conway’s Game of Life (GoL) as a special case. There are some special solutions to the equation that include and unify solutions to GoL. Moreover, the multivalue extension of GoL is derived from the equation, and the behavior of solutions is discussed.

Original languageEnglish
Pages (from-to)63-76
Number of pages14
JournalComplex Systems
Volume29
Issue number1
DOIs
Publication statusPublished - 2020

Keywords

  • Cellular automaton
  • Conway’s game of life
  • Max-plus equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

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