Re: HHH(DD) does correctly reject its input as non-halting --- VERIFIED FACT +++

On 6/14/2025 6:30 AM, Mikko wrote:

On 2025-06-13 15:22:04 +0000, olcott said:
 

On 6/13/2025 5:20 AM, Mikko wrote:

On 2025-06-12 15:34:01 +0000, olcott said:
>

int DD()
{
   int Halt_Status = HHH(DD);
   if (Halt_Status)
     HERE: goto HERE;
   return Halt_Status;
}
>
It is a verified fact that DD() *is* one of the forms
of the counter-example input as such an input would
be encoded in C. Christopher Strachey wrote his in CPL.
>
// rec routine P
//   §L :if T[P] go to L
//     Return §
// https://academic.oup.com/comjnl/article/7/4/313/354243
void Strachey_P()
{
   L: if (HHH(Strachey_P)) goto L;
   return;
}
>
https://academic.oup.com/comjnl/article-abstract/7/4/313/354243? redirectedFrom=fulltext
>
It *is* a verified fact DD correctly simulated by HHH cannot
possibly reach its own "return" statement final halt state
because the input to HHH(DD) specifies recursive simulation.

>
False. It is not the reursive simulation that prevents the reaching
the simulation of the "return" statement. Instead, previention is
a consequence of the discontinuation of the simulation that the
input specifies.

>
When you try to prove this by providing ALL of the
details you will find that you are incorrect.

 I don't need to prove anything. It is sufficient to point out that
you have not proven anything. For this discussion a sufficient
proof that HHH aborts is simulation is that you have said it does.
 

This code proves everything that I claimed beyond all possible doubt
https://github.com/plolcott/x86utm/blob/master/Halt7.c
Mike verified everything that I claimed from this code except the
very last step of my proof. Mike demonstrated the non-halting behavior
pattern for infinite loops. He might understand the non-halting
behavior patterns for infinite recursion.
The only thing left is understanding the non-halting behavior
pattern of recursive simulation.
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer