Computation with competing patterns in life-like automaton

Martinez, Genaro J.; Adamatzky, Andrew; Morita, Kenichi; Margenstern, Maurice

Abstract

We study a Life-like cellular automaton rule B2/S2345 where a cell in state `0' takes state `1' if it has exactly two neighbors in state `1' and the cell remains in the state `1' if it has between two and five neighbors in state `1.' This automaton is a discrete analog spatially extended chemical media, combining both properties of sub-excitable and precipitating chemical media. When started from random initial configuration B2/S2345 automaton exhibits chaotic behavior. Configurations with low density of state `1' show emergence of localized propagating patterns and stationary localizations. We construct basic logical gates and elementary arithmetical circuits by simulating logical signals with mobile localizations reaction propagating geometrically restricted by stationary non-destructible localizations. Values of Boolean variables are encoded into two types of patterns --- symmetric False and asymmetric True patterns -- which compete for the `empty' space when propagate in the channels. Implementations of logical gates and binary adders are illustrated explicitly.

• Publication Date: Jul 29, 2010
• Publicly Available Date: Jun 8, 2019
• Peer Reviewed: Peer Reviewed
• Pages: 547-572
• Book Title: Game of life cellular automata
• ISBN: 9781849962162
• Keywords: artificial intelligence, cellular automata, theory of computation
• Public URL: https://uwe-repository.worktribe.com/output/976795
• Publisher URL: http://www.springer.com/computer/theoretical+computer+science/book/978-1-84996-216-2
• Additional Information: Additional Information : The original publication is available at www.springerlink.com