This may be the consensus nowadays but some time ago one person thought
that halting (when applicable) was needed, at least to some degree, to make
"Zuse's Z3 a Universal Computer"

Universal_Computer.pdf (fu-berlin.de)
<http://www.inf.fu-berlin.de/inst/ag-ki/rojas_home/documents/1997/Universal_Computer.pdf>



On Fri, Feb 11, 2022 at 7:02 PM Elijah Stone <elro...@elronnd.net> wrote:
>
> On Fri, 11 Feb 2022, Jose Mario Quintana wrote:
>
> > CA does not halt, unlike classic Turing machines which might halt.
>
> I don't think that's an issue.  Turing-complete languages are not required
> to themselves have the features of a turing machine; only to be able to
> simulate them.  And (some) cellular automata can simulate turing machines,
> hence they are turing complete.
>
>   -E
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