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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Proof that DD correctly simulated by HH has different behavior
 than DD(DD) STEP(1)
Date: Mon, 10 Jun 2024 08:52:32 -0500
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On 6/10/2024 2:09 AM, Fred. Zwarts wrote:
> Op 10.jun.2024 om 07:17 schreef olcott:
>> On 6/9/2024 1:33 AM, Fred. Zwarts wrote:
>>> Op 08.jun.2024 om 20:47 schreef olcott:
>>>> Before we can get to the behavior of the directly executed
>>>> DD(DD) we must first see that the Sipser approved criteria
>>>> have been met:
>>>>
>>>> <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>>> If simulating halt decider H correctly simulates its input D
>>>> until H correctly determines that its simulated D would never
>>>> stop running unless aborted then
>>>>
>>>> H can abort its simulation of D and correctly report that D
>>>> specifies a non-halting sequence of configurations.
>>>> </MIT Professor Sipser agreed to ONLY these verbatim words10/13/2022>
>>>>
>>>> On 10/14/2022 7:44 PM, Ben Bacarisse wrote:
>>>>  > I don't think that is the shell game. PO really /has/ an H
>>>>  > (it's trivial to do for this one case) that correctly determines
>>>>  > that P(P) *would* never stop running *unless* aborted.
>>>>
>>>> Try to show how this DD correctly simulated by any HH ever
>>>> stops running without having its simulation aborted by HH.
>>>
>>> Stopping at your first error. So, we can focus on it. Your are asking 
>>> a question that contradicts itself.
>>> A correct simulation of HH that aborts itself, should simulate up to 
>>> the point where the simulated HH aborts. That is logically 
>>> impossible. So, either it is a correct simulation and then we see 
>>> that the simulated HH aborts and returns, or the simulation is 
>>> incorrect, because it assumes incorrectly that things that happen 
>>> (abort) do not happen.
>>> A premature conclusion.
>>>
>>>
>>
>> *No one has verified the actual facts of this for THREE YEARS*
>> *No one has verified the actual facts of this for THREE YEARS*
>> *No one has verified the actual facts of this for THREE YEARS*
>>
>> On 5/29/2021 2:26 PM, olcott wrote:
>> https://groups.google.com/g/comp.theory/c/dTvIY5NX6b4/m/cHR2ZPgPBAAJ
>>
>> THE ONLY POSSIBLE WAY for D simulated by H to have the same
>> behavior as the directly executed D(D) is for the instructions
>> of D to be incorrectly simulated by H (details provided below).
>>
>> _D()
>> [00000cfc](01)  55                      push ebp
>> [00000cfd](02)  8bec                    mov ebp,esp
>> [00000cff](03)  8b4508                  mov eax,[ebp+08]
>> [00000d02](01)  50                      push eax       ; push D
>> [00000d03](03)  8b4d08                  mov ecx,[ebp+08]
>> [00000d06](01)  51                      push ecx       ; push D
>> [00000d07](05)  e800feffff              call 00000b0c  ; call H
>> [00000d0c](03)  83c408                  add esp,+08
>> [00000d0f](02)  85c0                    test eax,eax
>> [00000d11](02)  7404                    jz 00000d17
>> [00000d13](02)  33c0                    xor eax,eax
>> [00000d15](02)  eb05                    jmp 00000d1c
>> [00000d17](05)  b801000000              mov eax,00000001
>> [00000d1c](01)  5d                      pop ebp
>> [00000d1d](01)  c3                      ret
>> Size in bytes:(0034) [00000d1d]
>>
>> In order for D simulated by H to have the same behavior as the
>> directly executed D(D) H must ignore the instruction at machine
>> address [00000d07]. *That is an incorrect simulation of D*
>>
>> H does not ignore that instruction and simulates itself simulating D.
>> The simulated H outputs its own execution trace of D.
>>
>>
> On 05.jun.2024 at 15:59 (CET) olcott proved that in the example
> 
>  > int main()
>  > {
>  >    Output("Input_Halts = ", HH(main,(ptr)0));
>  > }
> 
> main halts and HH reported a non-halting behaviour. This means that when 
> HH is used as a test for halting, it produces a false negative.
> 

I just proved that D correctly simulated by H has different
behavior than the directly executed D(D) and you ignored it.


-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer