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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: DDD specifies recursive emulation to HHH and halting to HHH1 ---
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Date: Wed, 2 Apr 2025 21:37:39 -0500
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On 4/2/2025 6:16 AM, Richard Damon wrote:
> On 4/1/25 10:37 PM, olcott wrote:
>> On 4/1/2025 8:13 PM, Richard Damon wrote:
>>> On 4/1/25 7:35 PM, olcott wrote:
>>>> On 4/1/2025 5:36 AM, Richard Damon wrote:
>>>>> On 3/31/25 10:19 PM, olcott wrote:
>>>>>>
>>>>>> *Simulating termination analyzer Principle*
>>>>>> It is always correct for any simulating termination
>>>>>> analyzer to stop simulating and reject any input
>>>>>> that would otherwise prevent its own termination.
>>>>>>
>>>>>
>>>>> But DDD doesn't prevent its own terminatation, as it calls an HHH 
>>>>> that WILL abort its emulation and return and answer.
>>>>>
>>>>
>>>> You know that DDD stopping running and DDD reaching its
>>>> final halt state are not the same thing you damned liar.
>>>>
>>>
>>> Right, the DDD who's simulation is stopped hasn't shown non-halting 
>>> behavior, just not-yet-halted.
>>>
>>
>> You already admitted that you are lying about this.
>> DDD emulated by HHH for an infinite number of steps
>> never reaches its final halt state.
> 
> But that isn't something that happens with THIS HHH, since it doesn't do 
> that.
> 


When DDD emulated by HHH for an infinite number of steps
never halts then as soon as HHH correctly infers this it
has its basis to reject DDD.

https://en.wikipedia.org/wiki/Mathematical_induction

DDD emulated by HHH does not reach its final halt state
with a single emulation of DDD by HHH.

DDD emulated by HHH does not reach its final halt state
with N recursive emulations of HHH emulating itself emulating DDD.

Therefore
DDD emulated by HHH does not reach its final halt state
and can be rejected as non-halting.




-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer