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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: DD correctly emulated by HHH --- Totally ignoring invalid
 rebuttals ---PSR---
Date: Sat, 8 Mar 2025 17:58:42 -0500
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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.