On 11/17/22 11:14 AM, olcott wrote:
> On 11/17/2022 7:21 AM, Ben Bacarisse wrote:
>> wij <
wyni...@gmail.com> writes:
>>
>>> You said "H returns 0 to main()" means "H halts".
>>> So, "D returns to main()" means "D halts". Do you agree?
>>
>> Do you think you will be able to get through to PO when other have
>> failed to do in more than *18 years* of posting?
>>
>> PO has clearly stated that he has extended the definition of non-halting
>> to include some halting computations:
>>
>> "A non-halting computation is every computation that never halts
>> unless its simulation is aborted.
>>
>> This maps to every element of the conventional halting problem set of
>> non-halting computations and a few more."
>>
>> And when asked about about H(P,P) == false, PO stated:
>>
>> "Yes that is the correct answer even though P(P) halts."
>>
>> Do you really want to argue about that? He's come clean. All recent
>> posts are sophistry.
>>
>> If you can consider the matter closed, consider just letting him post
>> into to the void. Of course if you enjoy these threads, then who am I
>> to stop your fun?
>>
>
> It is dishonest of you to quote views that I have had several
> years ago that have since been updated.
Unless you FORMALLY repudiate them it is still a position you have held.
And, you still hold it, as P(P) DOES Halt, but you say that H(P,P) == 0
is correct. You just change the background story on why you hold that
view. It seems now you are just saying that the correct simulation of
P(P) done by H doesn't need to match the actual behavior of P(P)
directly run, which is a violation of the definiton of "Correct
Simulation" as defined by a UTM, and you can't point out where the
simulation actually diverges for the direct execution, because it
actually doesn't.
The "diverganence" in you mind seems to occur in the part of the
simulaiton of P where you don't actually do a x86 instruction simulation
of P because you don't treat the function H as part of the program P
that you are processing.
>
> Here it halting and non-halting for a simulating halt decider:
And by changinge the definition, you are just admitting that Simulating
Halting Deciders are NOT actually Halt Deciders and you aren't working
on the Halting Problem but on Peter Olcotts Other Problem (POOP).
You H may be a correct POOP decider, but it isn't a valid Halt Decider.
FAIL.
> *H correctly simulates its input D until D reaches its own*
> *last instruction (final state) and terminates normally*
>
> *H correctly simulates its input D until H correctly determines*
> *that its simulated D would never stop running unless aborted*
Except that it DOESN'T do this.
Note, "Until H correct determines ... " is NOT necessarily a computable
function, so your definition is a category error, and thus so is your H.
You are basically hiding in your logic the assumption that you can
correctly proven Halt Deciding. That is a classic FALLACY and make you
arguement INVALID.
>
> This divides up the set of machine descriptions into the same
> subsets as the conventional notion of a halt decider except
> that the conventional pathological input becomes decidable as
> non-halting.
And the H on one side answers about a P on the other side, even though
that P isn't the D that this H is answering about, so it is WRONG.
>
> Because halt deciders compute the mapping from their inputs to
> an accept or reject state it is dishonest of you to slip in
> the behavior of non-inputs.
>
Right, so it needs to map the behavior of the P that it is given, which
calls an H that does abort its simulation because it also things it has
proven that result, and that makes the P actually Halt.
Thus, since a Halt Decider is a SPECIFIC set of code, and thus its input
is a SPECIFIC set of code, if we fix one one of the deciders you call
corrrect, and call it Hc, and then make the P based on IT, and call it
Pc, then the question is about Hc(Pc,Pc), and you set argument, since it
needs to look at the ACUTAL input, should be looking at H(Pc,Pc) for all
those H's (which isn't what you arguement does, as it changes the H that
P calls).
If you do THAT, then you will see that any H that simulates its input
enough farther than H does will see that the input Halts.