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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: DD correctly emulated by HHH --- Totally ignoring invalid
 rebuttals ---PSR---
Date: Sat, 8 Mar 2025 18:29:58 -0600
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On 3/8/2025 5:31 PM, dbush wrote:
> On 3/8/2025 6:23 PM, olcott wrote:
>> On 3/8/2025 4:58 PM, dbush wrote:
>>> On 3/8/2025 5:42 PM, olcott wrote:
>>>> On 3/8/2025 9:00 AM, dbush wrote:
>>>>> On 3/8/2025 9:03 AM, olcott wrote:
>>>>>>
>>>>>> Apparently you don't understand that inputs to a
>>>>>> simulating termination analyzer specifying infinite
>>>>>> recursion or recursive emulation cannot possibly
>>>>>> reach their own final state and terminate normally.
>>>>>
>>>>> Apparently you don't understand that inputs to a termination 
>>>>> analyzer, simulating or otherwise, are specified by the 
>>>>> specification that is the halting function:
>>>>>
>>>>> (<X>,Y) maps to 1 if and only if X(Y) halts when executed directly
>>>>> (<X>,Y) maps to 0 if and only if X(Y) does not halt when executed
>>>>>
>>>>> And HHH(DD)==0 fails to meet the above specification
>>>>
>>>> *THIS IS A SEMANTIC TAUTOLOGY THUS IMPOSSIBLY FALSE*
>>>> Replacing the code of HHH with an unconditional simulator and 
>>>> subsequently running HHH(DD) cannot possibly reach
>>>> its own "ret" instruction and terminate normally
>>>> because DD calls HHH(DD) in recursive emulation.
>>>>
>>>> It is ridiculously stupid to believe that HHH must
>>>> report on behavior other than the above behavior.
>>>>
>>>
>>> It must if it is to be classified as a halt decider or termination 
>>> analyzer as per the definition.
>>
>> In other words you believe that HHH 
> 
> Is required to map the halting function to meet the requirements to be a 
> halt decider / termination analyzer.
> 

HHH must map from the input finite string DD
to the behavior that this finite string specifies
or HHH is not ever a decider much less a halt decider.

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