Re: Is Richard a Liar?

On 5/14/2024 10:08 AM, Alan Mackenzie wrote:

[ Followup-To: set ]
 In comp.theory olcott <polcott333@gmail.com> wrote:

On 5/14/2024 4:44 AM, Mikko wrote:

On 2024-05-12 15:58:02 +0000, olcott said:

 

On 5/12/2024 10:21 AM, Mikko wrote:

On 2024-05-12 11:34:17 +0000, Richard Damon said:

 

On 5/12/24 5:19 AM, Mikko wrote:

On 2024-05-11 16:26:30 +0000, olcott said:

 

I am working on providing an academic quality definition of this
term.

 

The definition in Wikipedia is good enough.

 

I think he means, he is working on a definition that redefines the
field to allow him to claim what he wants.

 

Here one can claim whatever one wants anysay.
In if one wants to present ones claims on some significant forum then
it is better to stick to usual definitions as much as possible.

 

Sort of like his new definition of H as an "unconventional" machine
that some how both returns an answer but also keeps on running.

 

There are systems where that is possible but unsolvable problems are
unsolvable even in those systems.

 

When Ĥ is applied to ⟨Ĥ⟩
Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞
Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn

 

This notation does not work with machines that can, or have parts
that can, return a value without (or before) termination.

  

00 int H(ptr x, ptr x)  // ptr is pointer to int function
01 int D(ptr x)
02 {
03   int Halt_Status = H(x, x);
04   if (Halt_Status)
05     HERE: goto HERE;
06   return Halt_Status;
07 }
08
09 int main()
10 {
11   H(D,D);
12 }

 

In any case you diverged away form the whole point of this thread.
Richard is wrong when he says that there exists an H/D pair such
that D simulated by H ever reaches past its own line 03.

 Yes, in the same way that you are wrong.  The above "C code" is garbage;
as already pointed out, it doesn't even compile.  So any talk of
"reaching line 3" or "matching" that "code" is vacuous nonsense.
 

Any H/D pair matching the above template where D(D) is simulated
by the same H(D,D) that it calls cannot possibly reach past its own
line 03. Simple software engineering verified fact.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer