On Fri, Jan 9, 2009 at 6:34 PM, Matt Mahoney <[email protected]> wrote:
>
> Well, it is true that you can find |P| < |Q| for some cases of P nontrivially
> simulating Q depending on the choice of language. However, it is not true on
> average. It is also not possible for P to nontrivially simulate itself 
> because it is
> a contradiction to say that P does everything that Q does and at least one 
> thing
> that Q doesn't do if P = Q.
>

What you write above is a separate note unrelated to one about
complexity. P simulating P and doing something else is well-defined
according to your definition of simulation in the previous message
(that includes a special format for request for simulation), no
contradictions, and you've got an example.

-- 
Vladimir Nesov


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