Sujet : Re: Proof that DD correctly simulated by HH has different behavior than DD(DD) STEP(1)
De : polcott333 (at) *nospam* gmail.com (olcott)
Groupes : comp.theory sci.logicDate : 10. Jun 2024, 15:52:32
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v470f0$fv9v$1@dont-email.me>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
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; Geniushits a target no one else can see." Arthur Schopenhauer