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arXiv · 2107.06001

The Ameyalli-Rule: Logical Universality in a 2D Cellular Automaton

José Manuel Gómez Soto·Andrew Wuensche
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Abstract

We present a new spontaneously emergent glider-gun in a 2D Cellular Automaton and build the logical gates NOT, AND and OR required for logical universality. The Ameyalli-rule is not based on survival/birth logic but depends on 102 isotropic neighborhood groups making an iso-rule, which can drive an interactive input-frequency histogram for visualising iso-group activity and dependent functions for filtering and mutation. Neutral inputs relative to logical gates are identified which provide an idealized striped-down form of the iso-rule.

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José Manuel Gómez Soto, Andrew Wuensche. 2021-07-13. The Ameyalli-Rule: Logical Universality in a 2D Cellular Automaton. https://arxiv.org/abs/2107.06001

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