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On 11/03/2025 13:46, Richard Heathfield wrote:On 11/03/2025 13:31, olcott wrote:On 3/11/2025 5:28 AM, Mikko wrote:On 2025-03-10 23:41:13 +0000, olcott said:
typedef void (*ptr)();
int HHH(ptr P);
void Infinite_Loop()
{
HERE: goto HERE;
return;
}
void Infinite_Recursion()
{
Infinite_Recursion();
return;
}
void DDD()
{
HHH(DDD);
return;
}
int DD()
{
int Halt_Status = HHH(DD);
if (Halt_Status)
HERE: goto HERE;
return Halt_Status;
}
That when HHH correctly emulates N steps of the
above functions that none of these functions can
possibly reach their own "return" instruction
and terminate normally.
Every competent programmer knows that the information given is
insufficient to determine whether HHH emulates at all, and whether
it emulates correctly if it does.
Since HHH does see that same pattern that competent
C programmers see it correctly aborts its emulation
and rejects these inputs as non terminating.
Whether HHH does see those patterns cannot be inferred from the information
given. Only about DDD one can see that it halts if HHH returns. In addition,
the given information does not tell whether HHH can see patterns that are
not there.
How many competent programmers you have asked?
Two C programmers with masters degrees in computer science
agree that DDD correctly emulated by HHH cannot possibly
reach its own "return" instruction and terminate normally.
Bring 'em on. Perhaps /they/ have the source to HHH, because without it you don't have anything.
(And btw whatever it is you claim to have is far from clear, because all I've seen so far is an
attempt to express the Halting Problem in C and pseuodocode, where the pseudocode reads: HHH(){
magic happens }
It takes newcommers a while to understand the context behind what PO is saying, and he never bothers
to properly explain it himself, and is incapable of doing so in any rigorous fashion.
So I'll explain for you my interpretation.
His HHH is a C function called by DDD, which will "simulate" DDD(). The simulation consists of
simulating the individual x86 instructions of DDD [and functions it calls] sequentially, and may
only be a /partial/ simulation, because HHH also contains logic to analyse the progress of the
simulation, and it may decide at some point to simply stop simulating. (This being referred to as
HHH "aborting" its simulation.)
Of course, we expect that the (partial) simulation of DDD will exactly track the direct execution of
DDD, up to the point where HHH aborts the simulation. [This is NOT what PO's actual HHH code does,
due to bugs/design errors/misunderstandings etc., but for the purpose of PO's current point, you
might consider this to be what happens.]
So if we imagine HHH never aborts, then HHH simulates DDD(), which calls HHH, and (simulated) HHH
will again simulate DDD() - a nested simulation. (PO calls this recursive simulation.) This
continues, and such an HHH will obviously never terminate - in particular THE SIMULATION by outer
HHH will never proceed as far as DDD's final ret instruction. (This is genuine "infinitely
recursive simulation")
OTOH if HHH logic aborts the simulation at some point, regardless of how many nested levels of
simulation have built up, it will be the /outer/ HHH that aborts, because the outer HHH is ahead of
all the simulated HHH's in its progress and will reach its abort criterion first. At the point
where it aborts, the DDD it is simulating will clearly not have reached its final ret instruction,
as then its simulation would have ended "normally" rather than aborting.
So whatever HHH's exact logic and abort criteria, it will not be the case that its *simulation of
DDD* progresses as far as DDD's final ret instruction: either HHH never aborts so never terminates,
or if it does abort, the (outer) HHH simulating it will abort DDD before it gets to the final ret
instruction.
The key point here is that we are not talking about whether DDD() halts! We are only talking about
whether HHH's /simulation/ of DDD proceeds as far as simulating the final DDD ret instruction. So
at this point we are not talking about the Halting Problem, as that is concerned with whether DDD()
halts, not whether some partial simulation of DDD() simulates as far as the ret instruction.
Given that HHH is free to stop simulating DDD *whenever it wants*, you might consider it rather
banal to be arguing for several months over whether it actually simulates as far as DDD's return.
After all, it could simulate one instruction and then give up, so it didn't get as far as DDD
returning - but SO WHAT!? Why is PO even considering such a question?
[PO would say something like "/however far/ HHH simulates this remains the case", misunderstanding
the fact that here he is talking about multiple different HHHs, each with their own distinct DDDs.
(Yes, none of those different HHHs simulate their corresponding DDD to completion, but all of those
DDD halt [if run directly], assuming their HHH aborts the simulation at some point. We can see this
just from the given code of DDD: if HHH returns, DDD returns...)]
But if you think PO properly understands this you would be vastly overestimating his reasoning
powers and his capacity for abstract thought. Even if you "agree" that HHH (however coded) will not
simulate DDD to completion, you would not really be "agreeing" with PO as such, because that would
imply you understand PO's understanding of all that's been said, and that there is a shared
agreement on the meaning of what's been said and its consequences etc., and we can guarantee that
will NOT be the case! We could say PO "fractally" misunderstands every technical concept needed to
properly discuss the halting problem (or any other technical topic).
PO's "understanding" will entail some idea that the situation means that DDD "actually" doesn't
halt, or that HHH is "correct" to say that DDD doesn't halt. (Even though it demonstrably DOES halt
if not aborted and simulated further. E.g. PO acknowledges that SimulateNoAbort(DDD) would
simulates to DDD's final ret and DDD() called directly from main() returns and so on).
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.
Regards,
Mike.
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