Re: D correctly simulated by H proved for THREE YEARS --- rewritten

On 6/16/2024 2:08 PM, Fred. Zwarts wrote:

Op 16.jun.2024 om 14:37 schreef olcott:

On 6/16/2024 1:21 AM, Fred. Zwarts wrote:

Op 15.jun.2024 om 17:23 schreef olcott:

On 6/15/2024 10:12 AM, Fred. Zwarts wrote:

Op 15.jun.2024 om 16:48 schreef olcott:

On 6/15/2024 9:37 AM, Fred. Zwarts wrote:

>
Is this the new definition of "pathological"?

>
*It is the same thing that I have been saying all along*
>
00   typedef void (*ptr)(); // pointer to void function
01
02   int HH(ptr P, ptr I);
03
04   void DDD(int (*x)())
05   {
06     HH(x, x);
07     return;
08   }
09
10   int main()
11   {
12     HH(DDD,DDD);
13   }
>
Line 12 main()
   invokes HH(DDD,DDD); that simulates DDD()
>
*REPEAT UNTIL outer HH aborts*
   Line 06 simulated DDD()
   invokes simulated HH(DDD,DDD); that simulates DDD()
>
DDD correctly simulated by HH never reaches its own "return"
instruction and halts.

>
So, you agree that you are changing definitions.

>
Not at all. The original definition still applies when it
is made more generic.
>
01       int D(ptr p)
02       {
03         int Halt_Status = H(p, p);
04         if (Halt_Status)
05           HERE: goto HERE;
06         return Halt_Status;
07       }
>
D correctly simulated by H has isomorphic behavior to DDD
correctly simulated by HH, both get stuck in recursive
simulation.
>

>
When asked what is a pathological program olcott replied:
Op 14.jun.2024 om 21:18 schreef olcott:

For any program H that might determine whether programs halt, a
"pathological" program D, called with some input, can pass its own
source and its input to H and then specifically do the opposite of what
H predicts D will do. No H can exist that handles this case.

>
>
No he defines a "pathological" program as a program that calls H.
All words about doing the opposite of what H predicts, have disappeared.
Everyone sees the difference, but he is stuck is rebuttal mode and denies the change of definition.
>

>
The code that "does the opposite" was never reachable by
a simulating halt decider thus does not change the problem
for a simulating halt decider when this code is removed.

 So, there was never a relation with the Linz proof, where the part that does the opposite of what H predicts plays the essential role.
 

This is the key essence of the pathological relationship in all
of the halting problem counter-example proofs including the Linz proof.
void DDD()
{
   H0(DDD);
}
int main()
{
   H0(DDD);
}

What remains is the fact that H is unable to simulate itself up to its final state, which is called a "pathological" property of H.
 

H is always correct to abort the simulation of any input
that would cause itself to not terminate normally.
When this is construed as non-halting criteria then H is
always correct to reject all of these inputs as non-halting.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer