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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: Linz's proofs and other undecidable decision problems [LP as basis] [Mike Terry]
Date: Sat, 11 May 2024 11:00:59 +0300
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On 2024-05-10 18:16:37 +0000, olcott said:

> On 3/1/2024 12:41 PM, Mike Terry wrote:

>> Obviously a simulator has access to the internal state (tape contents 
>> etc.) of the simulated machine.  No problem there.
>> 
>> What isn't allowed is the simulated machine altering its own behaviour 
>> by accessing data outside of its own state.  (I.e. accessing data from 
>> its parent simulators state.)
>> 
>> While an "active-simulator" [my own term] is at liberty to combine
>> straight simulation with add-on "enhancements" that extend the
>> functionality of the simulated machine, in doing so it would no
>> longer be a simulator in the sense you need it to be.  So you
>> mustn't do this!

In principle an incorrect simulation is permissible. However, to prove
that the result inferred from an incorrect simulation is correct may
be impossible.

> *You did not provide complete reasoning justifying this proclamation*
> *You did not provide complete reasoning justifying this proclamation*
> *You did not provide complete reasoning justifying this proclamation*

The provided reasoning is sufficient. You can continue reasoning from
that if you want more.

> Because the simulator must perform every detail of the simulation of
> the underlying machine it can watch every single state change of this
> underlying machine and this does not change the behavior of the
> simulated input AT ALL (relative to not watching the state changes).

Yes, that is a correct interpretation.

-- 
Mikko