Why can Conway’s Game of Life be classified as a universal machine?

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花落未央
花落未央 2020-12-22 19:37

I was recently reading about artificial life and came across the statement, \"Conway’s Game of Life demonstrates enough complexity to be classified as a universal machine.\"

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  •  谎友^
    谎友^ (楼主)
    2020-12-22 19:42

    You can build a Turing machine out of Conway's life - although it would be pretty horrendous.

    The key is in gliders (and related patterns) - these move (slowly) along the playing field, so can represent streams of bits (the presence of a glider for a 1 and the absence for a 0). Other patterns can be built to take in two streams of gliders (at right angles) and emit another stream of bits corresponding to the AND/OR/etc of the original two streams.

    EDIT: There's more on this on the LogiCell web site.

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