On Saturday, July 27, 2019 at 5:37:27 AM UTC-5, Bruno Marchal wrote:
>
>
>
> Arithmetic is a Turing universal system, even RA, or even just the 
> diophantine polynomials. It emulates all universal systems.
>
> See Matiyasevic book on the 10th Hilbert problem to see an explicit 
> emulation of all Turing machines by one diophantine polynomial equation. 
> (Section 5.5, “Diophantine simulation of Turing machines, page 85-92).
>
> Bruno
>
>
>

*Diophantine machines*
Yuri Matiyasevich 
https://www.newton.ac.uk/files/seminar/20120111170017302-152989.pdf

@philipthrift

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