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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: Functions computed by Turing Machines MUST apply finite string
 transformations to inputs --- MT
Date: Sun, 4 May 2025 22:58:56 -0400
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On 5/4/2025 9:23 PM, olcott wrote:
> On 5/4/2025 8:04 PM, Ben Bacarisse wrote:
>> Mike Terry <news.dead.person.stones@darjeeling.plus.com> writes:
>> ...
>>> As explained above, UTM(⟨Ĥ⟩ ⟨Ĥ⟩) simulates Ĥ run with input Ĥ (having 
>>> the
>>> same halting behaviour) and Ĥ run with input Ĥ HALTS.  So embedded_H 
>>> does
>>> not "gather enough information to deduce that UTM(⟨Ĥ⟩ ⟨Ĥ⟩) would never
>>> halt".  THAT IS JUST A FANTASY THAT YOU HAVE.
>>>
>>> UTM(⟨Ĥ⟩ ⟨Ĥ⟩) DOES halt, so embedded_H can't possibly gather information
>>> that genuinely implies it DOESN'T halt.  The explanation is obvious:
>>> embedded_H gathers information that *YOU* believe implies that 
>>> UTM(⟨Ĥ⟩ ⟨Ĥ⟩)
>>> would never halt, but *YOU ARE SIMPLY WRONG*.
>>
>> He used to claim that false ("does not halt") was the correct answer,
>> /even though/ the computation in question halts!  Those were simpler
>> days.  Of course cranks will never admit to having been wrong about
>> anything other than a detail or two, so anyone who could be bothered
>> could try to get him to retract that old claim.
>>
> 
> <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>      If simulating halt decider H correctly simulates its input D
>      until H correctly determines that its simulated D would never
>      stop running unless aborted then
> 
>      H can abort its simulation of D and correctly report that D
>      specifies a non-halting sequence of configurations.
> </MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
> 

And you *CONTINUE* to lie by implying that Sipser agrees with you when 
it's been repeated proven that he does not:

On Monday, March 6, 2023 at 2:41:27 PM UTC-5, Ben Bacarisse wrote:
 > I exchanged emails with him about this. He does not agree with anything
 > substantive that PO has written. I won't quote him, as I don't have
 > permission, but he was, let's say... forthright, in his reply to me.

This demonstrates a reckless disregard for the truth on your part.

> When Ĥ is applied to ⟨Ĥ⟩
> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
> 
> In other words embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ is correct to
> reject its input if
> 
> Ĥ.q0 ⟨Ĥ⟩ ⊢* UTM ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
> Ĥ.q0 ⟨Ĥ⟩ ⊢* UTM ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
> Would not halt.
> 

In other words, you change the input.

Changing the input is not allowed.