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From: wij <wyniijj5@gmail.com>
Newsgroups: comp.theory
Subject: Re: Incorrect requirements --- Computing the mapping from the input
 to HHH(DD)
Date: Mon, 12 May 2025 06:50:34 +0800
Organization: A noiseless patient Spider
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In-Reply-To: <vvr8dj$lu2b$1@dont-email.me>

On Sun, 2025-05-11 at 17:30 -0500, olcott wrote:
> On 5/11/2025 5:11 PM, wij wrote:
> > On Sun, 2025-05-11 at 17:00 -0500, olcott wrote:
> > [cut]
> > > > > ZFC corrected the error in set theory so that
> > > > > it could resolve Russell's Paradox. The original
> > > > > set theory has now called naive set theory.
> > > > >=20
> > > > > I corrected the error of the HP that expects
> > > > > HHH to report on behavior that is different
> > > > > than the behavior that its input actually
> > > > > specifies.
> > > >=20
> > > > Specificly, "Halt(D)=3D1 iff D() halts" is an error?
> > > > And it should expect: Halt(D)=3D1 iff POOH(D)=3D1 (correct problem)=
?
> > > >=20
> > >=20
> > > Yes that is an error because the behavior that
> > > the input to HHH(DDD) specifies is the behavior
> > > that HHH must report on.
> >=20
> > If so, how do we know a given function e.g. D, halts or not by giving i=
t to H,
> > i.e. H(D)? Wrong question (according to you)?
>=20
> H and D is too vague and ambiguous.
> We know that the input to HHH(DDD) specifies
> a non-halting sequence of configurations.
>=20
> We know that the input to HHH1(DDD) specifies
> a halting sequence of configurations.
>=20
> > Instead, every time we want to know whether D halts or not,=20
>=20
> When we intentionally define an input to attempt
> to thwart a specific termination analyzer THIS DOES
> CHANGE THE BEHAVIOR.
>=20
> If we let people run uploaded programs on our
> network we need to know if these programs are
> going to halt.
>=20
> Unless HHH(DDD) rejects its input as non-halting
> HHH will continue to eat up network resources.

But, according to POOH, if D going to eat up network resources, it have to
happen when we run POOH(D), because you said D's halting property only
valid to H.

So why bother we use POOH? D only cause damage of our network (test it halt=
 or not)
while we run it. How is it helpful to AI and human if so this way?

> We have to have some specific termination
> analyzer. It must be able to handle people
> trying to trick it.
>=20
> > we should ask
> > POOH(D)? Because you said 'halt' means "the input to HHH(DDD) specifies=
 is the
> > behavior that HHH must report on."
> >=20
> > And, how is POOH useful to AI and human if POOH cannot be reproduced?
> >=20
> >=20
>=20
>=20