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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Is Richard a Liar?
Date: Tue, 14 May 2024 09:21:10 -0500
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On 5/14/2024 4:44 AM, Mikko wrote:
> On 2024-05-12 15:58:02 +0000, olcott said:
> 
>> On 5/12/2024 10:21 AM, Mikko wrote:
>>> On 2024-05-12 11:34:17 +0000, Richard Damon said:
>>>
>>>> On 5/12/24 5:19 AM, Mikko wrote:
>>>>> On 2024-05-11 16:26:30 +0000, olcott said:
>>>>>
>>>>>> I am working on providing an academic quality definition of this
>>>>>> term.
>>>>>
>>>>> The definition in Wikipedia is good enough.
>>>>>
>>>>
>>>> I think he means, he is working on a definition that redefines the 
>>>> field to allow him to claim what he wants.
>>>
>>> Here one can claim whatever one wants anysay.
>>> In if one wants to present ones claims on some significant forum then
>>> it is better to stick to usual definitions as much as possible.
>>>
>>>> Sort of like his new definition of H as an "unconventional" machine 
>>>> that some how both returns an answer but also keeps on running.
>>>
>>> There are systems where that is possible but unsolvable problems are
>>> unsolvable even in those systems.
>>>
>>
>> When Ĥ is applied to ⟨Ĥ⟩
>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
> 
> This notation does not work with machines that can, or have parts
> that can, return a value without (or before) termination.
> 

⊢* specifies a wildcard set of state transitions that could
include a transition to a non-final state embedded_H.qn.


-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer