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tech / sci.lang / Re: Clarification of Linz Ĥ Description [ Are we there yet ? ] (V3)

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o Re: Clarification of Linz Ĥ Description [ Are weolcott

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Re: Clarification of Linz Ĥ Description [ Are we there yet ? ] (V3)

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From: NoO...@NoWhere.com (olcott)
Date: Sat, 2 Oct 2021 11:23:05 -0500
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 by: olcott - Sat, 2 Oct 2021 16:23 UTC

On 10/2/2021 10:58 AM, André G. Isaak wrote:
> On 2021-10-02 09:31, olcott wrote:
>
>> The problem is that when Linz refers to wM he calls it M.
>>
>> The input to H will be the description (encoded in some form) of M,
>> say wM, as well as the input w.
>>
>> There is no M in H, yet he refers to an M in H
>> q0   wM  w  ⊢*  qn
>> if M applied to w does not halt.
>>
>> To correct this error
>> if the TM described by wM applied to w does not halt.
>
> How on earth is this an "error"?
>
> wM means the description of M.
>
> "the TM described by wM" and "M" mean exactly the same thing. What need
> is there for adding this extra verbiage?
>
> André
>
>

-----1----2-----3-----4--5-----6
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.qx ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn

We need the extra verbiage only because Ben and Richard falsely believe
that the Linz notation refers to (1) halting on (2) and not (4) halting
on (5).

--
Copyright 2021 Pete Olcott

"Great spirits have always encountered violent opposition from mediocre
minds." Einstein

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