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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: DD emulated by HHH cannot possibly terminate normally --- x86
 code
Date: Sat, 1 Mar 2025 15:11:00 -0600
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On 3/1/2025 2:16 PM, Fred. Zwarts wrote:
> Op 01.mrt.2025 om 17:33 schreef olcott:
>> On 3/1/2025 9:39 AM, Fred. Zwarts wrote:
>>> Op 01.mrt.2025 om 15:41 schreef olcott:
>>>> On 3/1/2025 6:49 AM, Richard Damon wrote:
>>>>> On 2/28/25 7:47 PM, olcott wrote:
>>>>>> _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]
>>>>>>
>>>>>> When we hypothesize that the code at machine address
>>>>>> 0000213c is an x86 emulator then we know that DD
>>>>>> remains stuck in recursive emulation and cannot possibly
>>>>>> reach its own "ret" instruction and terminate normally.
>>>>>>
>>>>>> When we add the additional complexity that HHH also
>>>>>> aborts this sequence at some point then every level
>>>>>> of recursive emulation immediately stops. This does
>>>>>> not enable any DD to ever reach its "ret" instruction.
>>>>>>
>>>>>
>>>>> But then you just negated your first assumption, as a partial 
>>>>> emulator that aborts its emulation, then DD no longer gets stuck.
>>>>>
>>>>
>>>> Cannot possibly reach its own "ret" instruction and terminate normally
>>> proves failure of HHH to reach the end of a proven terminating program.
>>
>> DD emulated by HHH according to the above x86 machine code of DD
>> cannot possibly reach its own "ret" instruction and terminate normally
> 
> 
> In other words, 

The DD input to HHH unequivocally specifies a
non terminating computation.


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