Time-Symmetric Cellular Automata

Details Time-Symmetric Cellular Automata Time-Symmetric Cellular Automata

2010-12-03

arxiv.org/abs/1012.1332v1

Computer Science

Discrete Mathematics

Journ\'ees Automates Cellulaires 2010, Turku : Finland (2010)

Scientific paper

Together with the concept of reversibility, another relevant physical notion is time-symmetry, which expresses that there is no way of distinguishing between backward and forward time directions. This notion, found in physical theories, has been neglected in the area of discrete dynamical systems. Here we formalize it in the context of cellular automata and establish some basic facts and relations. We also state some open problems that may encourage further research on the topic.

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