Re: Simulation vs. Execution in the Halting Problem

Op 05.jun.2025 om 17:50 schreef olcott:

On 6/5/2025 2:14 AM, Fred. Zwarts wrote:

Op 04.jun.2025 om 18:31 schreef olcott:

On 6/4/2025 4:13 AM, Fred. Zwarts wrote:

Op 03.jun.2025 om 21:53 schreef olcott:

On 6/3/2025 7:45 AM, dbush wrote:

On 6/2/2025 10:58 PM, Mike Terry wrote:

Even if presented with /direct observations/ contradicting his position, PO can (will) just invent new magical thinking that only he is smart enough to understand, in order to somehow justify his busted intuitions.

>
My favorite is that the directly executed D(D) doesn't halt even though it looks like it does:
>
>
On 1/24/24 19:18, olcott wrote:
 > The directly executed D(D) reaches a final state and exits normally.
 > BECAUSE ANOTHER ASPECT OF THE SAME COMPUTATION HAS BEEN ABORTED,
 > Thus meeting the correct non-halting criteria if any step of
 > a computation must be aborted to prevent its infinite execution
 > then this computation DOES NOT HALT (even if it looks like it does).

>
>
If the second call of otherwise infinite recursion had
to be aborted to prevent actual infinite recursion then
this call always was non-halting even when it was forced
to stop running.
>

>
But since there is no infinite recursion, no abort is needed.

>
*You just contradicted yourself*
>
void DDD()
{
   HHH(DDD);
   return;
}
>
HHH simulates DDD that calls HHH(DDD)
that simulates DDD that calls HHH(DDD)
that simulates DDD that calls HHH(DDD)
that simulates DDD that calls HHH(DDD)...
>

There we see that HHH aborts after a finite recursion.

 HHH is supposed to abort as soon as it detects that
the simulated input cannot possibly reach its own
simulated "return" instruction final state.
 

But HHH does not *detect* that. The abort is based on an *invalid assumption*, not on what HHH sees. HHH sees only the first few recursive recursions of a finite recursion and misses the fact that the next cycle if the simulated HHH will abort and halt.
You are dreaming again of an invalid other HHH that does not abort and you use that dream as a basis for the decision to abort. But it incorrect to say that HHH detect something when it is not there.