On Mon, Jul 22, 2019 at 3:54 AM Bruno Marchal <[email protected]> wrote:

>> a set of quadruplets is not the only or the best way to think about the
>> operation of a Turing Machine, you can also think about it physically,
>> something that you CAN NOT DO with Lambda Calculus.
>
>

*> On the contrary, if you can interpret the quadruplet in a physical way,*
>

And you can.


> *> then it is even more simple to interpret a lambda expression
> physically, with a basic physical substitution.*
>

Yes you can implement lambda expressions physically but it's not "more
simple" because the "basic physical substitution" always comes back to a
Turing Machine. Always.

That's why computer makers don't put Lambda Calculus textbooks in their
>> machines but instead put in silicon microprocessors that work the way
>> Turing outlined.
>
>
> *> Counter-examples; the graph reduction machines, the Lisp Machines, etc.*
>

Bruno..... I'm pretty sure both graph reduction machines and Lisp Machines
used silicon microprocessors, although they've been obsolete for so long it
might have been discreet transistors or even vacuum tubes. I don't know
about etc Machines, I'm not familiar with them.

John K Clark

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