cellular automata and turing completeness
Cellular automata are mathematical models consisting of a grid of cells that can be in different states. These cells update their states based on predefined rules and the states of their neighboring cells. Turing completeness, on the other hand, refers to a system or model that can solve any problem that a Turing machine can solve. In the context of cellular automata, turing completeness means that the rules governing the cell updates are powerful enough to perform any computation that a Turing machine can.
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