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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Computable Functions --- finite string transformation rules
Date: Thu, 24 Apr 2025 16:01:10 -0500
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On 4/24/2025 2:59 PM, Fred. Zwarts wrote:
> Op 24.apr.2025 om 21:41 schreef olcott:
>> On 4/24/2025 2:12 PM, Fred. Zwarts wrote:
>>> Op 24.apr.2025 om 19:13 schreef olcott:
>>>>
>>>> HHH correctly determines through mathematical induction that
>>>> DD emulated by HHH (according to the finite string transformations
>>>> specified by the x86 language) cannot possibly reach its final
>>>> halt state in an infinite number of steps.
>>
>>> No, HHH has a bug which makes that it fails to see that there is only 
>>> a finite recursion, 
>>
>> *You are technically incompetent on this point*
>> When the finite string transformation rules of the
>> x86 language are applied to the input to HHH(DD)
>> THIS DD CANNOT POSSIBLY REACH ITS FINAL HALT STATE
>> not even after an infinite number of emulated steps.
>>
>> int DD()
>> {
>>    int Halt_Status = HHH(DD);
>>    if (Halt_Status)
>>      HERE: goto HERE;
>>    return Halt_Status;
>> }
>>
>> _DD()
>> [00002133] 55         push ebp      ; housekeeping
>> [00002134] 8bec       mov ebp,esp   ; housekeeping
>> [00002136] 51         push ecx      ; make space for local
>> [00002137] 6833210000 push 00002133 ; push DD
>> [0000213c] e882f4ffff call 000015c3 ; call HHH(DD)
>> [00002141] 83c404     add esp,+04
>> [00002144] 8945fc     mov [ebp-04],eax
>> [00002147] 837dfc00   cmp dword [ebp-04],+00
>> [0000214b] 7402       jz 0000214f
>> [0000214d] ebfe       jmp 0000214d
>> [0000214f] 8b45fc     mov eax,[ebp-04]
>> [00002152] 8be5       mov esp,ebp
>> [00002154] 5d         pop ebp
>> [00002155] c3         ret
>> Size in bytes:(0035) [00002155]
>>
>>
>>
> Again a lot of text, but no rebuttal.

*This rebuttal is over-your-head*

All computations must be finite string transformations
to finite string inputs.

When the finite string transformation rules of the
x86 language are applied to the input to HHH(DD)
THIS DD CANNOT POSSIBLY REACH ITS FINAL HALT STATE
not even after an infinite number of emulated steps.

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