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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 18:31:50 -0500
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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.

It does not, so HHH is not a halt decider / termination analyzer.