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A repeating sequence of simple rules creates a universal computer

Noronha, Riz Fernando
arXiv (All) · Papers
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adaptation-and-self-organizing-systemscellular-automata-and-lattice-gasesformal-languages-and-automata-theorystatistical-mechanics
We show that the Turing complete rule 110 in elementary cellular automata can be emulated by alternating three simple symmetric rules in space. As the constituent rules themselves are trivial, this shows that diversity alone can generate emergent phenomena. The rules cannot distinguish left from rig
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