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From: Richard Damon <richard@damon-family.org>
Newsgroups: comp.theory
Subject: =?UTF-8?Q?Re=3A_A_simulating_halt_decider_applied_to_the_The_Peter_?=
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Date: Mon, 3 Jun 2024 20:56:01 -0400
Organization: i2pn2 (i2pn.org)
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On 6/3/24 8:48 AM, olcott wrote:
> On 6/3/2024 3:07 AM, Mikko wrote:
>> On 2024-06-02 13:07:25 +0000, olcott said:
>>
>>> On 6/2/2024 2:36 AM, Mikko wrote:
>>>> On 2024-06-01 14:37:01 +0000, olcott said:
>>>>
>>>>> On 6/1/2024 2:52 AM, Mikko wrote:
>>>>>> On 2024-05-31 15:35:18 +0000, olcott said:
>>>>>
>>>>>>>
>>>>>>> When Ĥ is applied to ⟨Ĥ⟩
>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
>>>>>>
>>>>>> Of those two lines one is false.
>>>>>> As embedded_H is a copy of H both lines imply that H is not a halt 
>>>>>> decider.
>>>>>>
>>>>>>> *Formalizing the Linz Proof structure*
>>>>>>> ∃H  ∈ Turing_Machines
>>>>>>> ∀x  ∈ Turing_Machine_Descriptions
>>>>>>> ∀y  ∈ Finite_Strings
>>>>>>> such that H(x,y) = Halts(x,y)
>>>>>>
>>>>>> As already noted, the above is not a part of a proof structure.
>>>>>>
>>>>>
>>>>> Unless and until you provide reasoning to back that up it counts
>>>>> as if you said nothing about it.
>>>>
>>>> If there are no more questions about the details of the reasoning
>>>> we may assume that the presiented reasoning is sufficieant.
>>>>
>>>
>>> The above <is> the structure of his proof your empty assertion 
>>> utterly bereft of any supporting (EAUBoaSR)) reasoning counts for zilch.
>>
>> Those how know what "structure" means can see that it is not a structure.
>>
>>> Linz claims that of every Turing Machine there are none that solve 
>>> the halting problem.
>>
>> And proves the claim.
>>
>>> ∃!H  ∈ Turing_Machines  (What Richard was saying)
>>> would say that there does not exist exactly one Turing Machine that
>>> solves the halting problem thus fails if there are more than one.
>>
>> Irrelevant as that is not what Linz' says.
>> And you should not lie about Rchard.
>>
> 
> Richard was confused bout this. Linz words were confusing
> unless one had read many other proofs one might be confused.
> 
> 

I know perfectly well what Linz says.

YOU are the one that is confused, as you have even admitted.