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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: The execution trace of HHH1(DDD) shows the divergence
Date: Sat, 7 Jun 2025 10:35:08 -0500
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On 6/7/2025 10:31 AM, wij wrote:
> On Sat, 2025-06-07 at 09:57 -0500, olcott wrote:
>> On 6/7/2025 9:54 AM, wij wrote:
>>> On Sat, 2025-06-07 at 09:32 -0500, olcott wrote:
>>>> The execution trace of HHH1(DDD) shows the divergence
>>>> of DDD emulated by HHH from DDD emulated by HHH1.
>>>>
>>>> int main()
>>>> {
>>>>      HHH1(DDD);
>>>> }
>>>>
>>>> Shows that DDD emulated by HHH and DDD emulated by
>>>> HHH1 diverges as soon as HHH begins emulating itself
>>>> emulating DDD.
>>>>
>>>> *From the execution trace of HHH1(DDD) shown below*
>>>> DDD emulated by HHH1              DDD emulated by HHH
>>>> [00002183] push ebp               [00002183] push ebp
>>>> [00002184] mov ebp,esp            [00002184] mov ebp,esp
>>>> [00002186] push 00002183 ; DDD    [00002186] push 00002183 ; DDD
>>>> [0000218b] call 000015c3 ; HHH    [0000218b] call 000015c3 ; HHH
>>>> *HHH1 emulates DDD once then HHH emulates DDD once, these match*
>>>>
>>>> The next instruction of DDD that HHH emulates is at
>>>> the machine address of 00002183.
>>>>
>>>> The next instruction of DDD that HHH1 emulates is at
>>>> the machine address of 00002190.
>>>>
>>>> 00002183 != 00002190
>>>>
>>>> _DDD()
>>>> [00002183] 55             push ebp
>>>> [00002184] 8bec           mov ebp,esp
>>>> [00002186] 6883210000     push 00002183 ; push DDD
>>>> [0000218b] e833f4ffff     call 000015c3 ; call HHH
>>>> [00002190] 83c404         add esp,+04
>>>> [00002193] 5d             pop ebp
>>>> [00002194] c3             ret
>>>> Size in bytes:(0018) [00002194]
>>>>
>>>> _main()
>>>> [000021a3] 55             push ebp
>>>> [000021a4] 8bec           mov ebp,esp
>>>> [000021a6] 6883210000     push 00002183 ; push DDD
>>>> [000021ab] e843f3ffff     call 000014f3 ; call HHH1
>>>> [000021b0] 83c404         add esp,+04
>>>> [000021b3] 33c0           xor eax,eax
>>>> [000021b5] 5d             pop ebp
>>>> [000021b6] c3             ret
>>>> Size in bytes:(0020) [000021b6]
>>>>
>>>>     machine   stack     stack     machine    assembly
>>>>     address   address   data      code       language
>>>>     ========  ========  ========  ========== =============
>>>> <main is executed>
>>>> [000021a3][0010382d][00000000] 55         push ebp      ; main()
>>>> [000021a4][0010382d][00000000] 8bec       mov ebp,esp   ; main()
>>>> [000021a6][00103829][00002183] 6883210000 push 00002183 ; push DDD
>>>> [000021ab][00103825][000021b0] e843f3ffff call 000014f3 ; call HHH1
>>>> </main is executed>
>>>>
>>>> New slave_stack at:1038d1
>>>> Begin Local Halt Decider Simulation   Execution Trace Stored at:1138d9
>>>>
>>>> <DDD emulated by HHH1>
>>>> [00002183][001138c9][001138cd] 55         push ebp      ; DDD of HHH1
>>>> [00002184][001138c9][001138cd] 8bec       mov ebp,esp   ; DDD of HHH1
>>>> [00002186][001138c5][00002183] 6883210000 push 00002183 ; push DDD
>>>> [0000218b][001138c1][00002190] e833f4ffff call 000015c3 ; call HHH
>>>> </DDD emulated by HHH1>
>>>>
>>>> New slave_stack at:14e2f9
>>>> Begin Local Halt Decider Simulation   Execution Trace Stored at:15e301
>>>>
>>>> <DDD emulated by HHH>
>>>> [00002183][0015e2f1][0015e2f5] 55         push ebp      ; DDD of HHH[0]
>>>> [00002184][0015e2f1][0015e2f5] 8bec       mov ebp,esp   ; DDD of HHH[0]
>>>> [00002186][0015e2ed][00002183] 6883210000 push 00002183 ; push DDD
>>>> [0000218b][0015e2e9][00002190] e833f4ffff call 000015c3 ; call HHH
>>>> <DDD emulated by HHH>
>>>>
>>>> New slave_stack at:198d21  DDD emulated by HHH
>>>> *This is the beginning of the divergence of the behavior*
>>>> *HHH is emulating itself emulating DDD, HHH1 never does that*
>>>>
>>>> <DDD emulated by HHH emulating itself>
>>>> [00002183][001a8d19][001a8d1d] 55         push ebp      ; DDD of HHH[1]
>>>> [00002184][001a8d19][001a8d1d] 8bec       mov ebp,esp   ; DDD of HHH[1]
>>>> [00002186][001a8d15][00002183] 6883210000 push 00002183 ; push DDD
>>>> [0000218b][001a8d11][00002190] e833f4ffff call 000015c3 ; call HHH
>>>> </DDD emulated by HHH emulating itself>
>>>>
>>>> Local Halt Decider: Infinite Recursion Detected Simulation Stopped
>>>> HHH returns to caller
>>>>
>>>> <DDD emulated by HHH1>
>>>> [00002190][001138c9][001138cd] 83c404     add esp,+04 ; DDD of HHH1
>>>> [00002193][001138cd][000015a8] 5d         pop ebp     ; DDD of HHH1
>>>> [00002194][001138d1][0003a980] c3         ret         ; DDD of HHH1
>>>> </DDD emulated by HHH1>
>>>>
>>>> <main is executed>
>>>> [000021b0][0010382d][00000000] 83c404     add esp,+04 ; main()
>>>> [000021b3][0010382d][00000000] 33c0       xor eax,eax ; main()
>>>> [000021b5][00103831][00000018] 5d         pop ebp     ; main()
>>>> [000021b6][00103835][00000000] c3         ret         ; main()
>>>> </main is executed>
>>>> Number of Instructions Executed(352831) == 5266 Pages
>>>
>>> The HP is asking for such a H that H(D)==1 iff D() halts.
>>> You are always solving POO Problem.
>>>
>>
>> int main()
>> {
>>     DDD(); // The HHH(DDD) that DDD calls cannot report
>> }          // on the behavior of its caller.
> 
> That is what the HP theorem says, the halting decider is not possible.
> 

The HP theorem never bothered to notice that it has
contradictory axioms. HHH(DDD) IS NOT ALLOWED TO
REPORT ON THE BEHAVIOR OF ITS CALLER.


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