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On Tue, 2025-03-11 at 18:23 +0000, Richard Heathfield wrote:It doesn't have to. For a start, it can take source code as input and analyse it in much the same way that a compiler does.On 11/03/2025 17:42, Mike Terry wrote:No TM can simulate itself.Finally, if you really want to see the actual HHH code, its in>
the halt7.c file (along with DDD) that PO provides links to from
time to time. However it's not very illuminating due to
bugs/design errors/misunderstandings which only serve to
obfuscate PO's errors in thinking.
[I've now seen the code. Oh deary deary me.]
>
Thank you for a spirited attempt to be cogent - or at least as
cogent as it is possible to be in the circumstances!
>
I think PO's first step must be to demonstrate that HHH()
correctly diagnoses some easy functions, such as these:
>
int rha(unsigned int i)
{
while(--i > 0)while(--i > 0);
return 0;
}
>
int rhb(unsigned int i)
{
if(i > 0)
{
rhb(i/10);
}
return putchar(i + '0');
}
>
int rhc(unsigned int i)
{
typedef int(*pf)(unsigned int);
pf arr[3] = {rha, rhb, rhc};
return arr[i % 3];
}
>
and other such obvious tests.
>
HHH(), the procedure that decides whether a program halts, is
required to work for all programs and all inputs. Does it work on
those cited above? I'm guessing it doesn't.
>
Proving HP in this way is dead end.Proving it any way is a dead end, because the answer to the Halting Problem is already known, and has been known since at least 1936.
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