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We lose Turing completeness because our new procedure is not deterministic, but practice shows that this formalism still allows to describe a huge range of interesting random processes.
But you can create a deterministic system with strict enough patterns.
The README states
But you can create a deterministic system with strict enough patterns.
Example of conways game of life in an async CA https://www.youtube.com/watch?v=oXiqMGhn9rk&t=749s
Rule 110 (which is turing complete) implemented in MarkovJunior:
rule_110.mp4
rule_110.xml
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