Re: My reviewers think that halt deciders must report on the behavior of their caller

On 7/8/2025 2:44 AM, Mikko wrote:

On 2025-07-07 14:15:54 +0000, olcott said:
 

On 7/7/2025 3:37 AM, Mikko wrote:

On 2025-07-07 03:12:30 +0000, olcott said:
>

On 7/6/2025 9:09 PM, Richard Damon wrote:

On 7/6/25 4:06 PM, olcott wrote:

On 7/6/2025 12:00 PM, Richard Damon wrote:

On 7/6/25 11:19 AM, olcott wrote:

>
void DDD()
{
   HHH(DDD);
   return;
}
>
*EVERY BOT FIGURES THIS OUT ON ITS OWN*

>
No, it just isn't smart enough to detect that you lied in your premise.
>

There is no way that DDD simulated by HHH (according
to the semantics of the C programming language)
can possibly reach its own "return" statement final
halt state.

>
And there is no way for HHH to correctly simulate its input and return an answer
>

>
You insistence that a non-terminating input be simulated
until non-existent completion is especially nuts because
you have been told about this dozens of times.
>
What the F is wrong with you?
>

>
It seems you don't understand those words.
>
I don't say that the decider needs to simulate the input to completion, but that it needs to be able to actually PROVE that if this exact input WAS given to a correct simultor (which won't be itself, since it isn't doing the complete simulation) will run for an unbounded number of steps.

>
No decider is ever allowed to report on anything
besides the actual behavior that its input actually
specifies.

>
Unless you can quote some respectable author your prohibitions are
meaningless.

>
To people that never had any actual understanding and
can only parrot textbooks. They need to see this things
in other textbooks.

 People who can parrot textbooks know better than people who cannot.
That you can't when you should shows that you can't even parrot
textbooks.
 

I just reverse-engineer what the truth actually is.
*From the bottom of page 319 has been adapted to this*
https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf
When Ĥ is applied to ⟨Ĥ⟩
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞
     ⟨Ĥ⟩ ⟨Ĥ⟩ simulated by Ĥ.embedded_H reaches
     its simulated final halt state of ⟨Ĥ.qn⟩
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
     ⟨Ĥ⟩ ⟨Ĥ⟩ simulated by Ĥ.embedded_H cannot possibly
     reach its simulated final halt state of ⟨Ĥ.qn⟩
This above makes the HP counter-example input decidable.
Furthermore when Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ transitions to Ĥ.qn
it is correct.
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer