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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: Incorrect requirements --- Computing the mapping from the input
 to HHH(DD)
Date: Sun, 11 May 2025 19:59:54 -0400
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On 5/11/2025 6:30 PM, 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.
>>>>>
>>>>> 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.
>>>>
>>>> Specificly, "Halt(D)=1 iff D() halts" is an error?
>>>> And it should expect: Halt(D)=1 iff POOH(D)=1 (correct problem)?
>>>>
>>>
>>> Yes that is an error because the behavior that
>>> the input to HHH(DDD) specifies is the behavior
>>> that HHH must report on.
>>
>> If so, how do we know a given function e.g. D, halts or not by giving 
>> it to H,
>> i.e. H(D)? Wrong question (according to you)?
> 
> H and D is too vague and ambiguous.
> We know that the input to HHH(DDD) specifies
> a non-halting sequence of configurations.
> 
> We know that the input to HHH1(DDD) specifies
> a halting sequence of configurations.
> 
>> Instead, every time we want to know whether D halts or not, 
> 
> When we intentionally define an input to attempt
> to thwart a specific termination analyzer THIS DOES
> CHANGE THE BEHAVIOR.
> 
> If we let people run uploaded programs on our
> network we need to know if these programs are
> going to halt.

Which means it will give us the wrong answer for DDD, as it will halt 
when executed directly, which is what we want to know about.

Telling us that DDD "specifies non-halting behavior to HHH" is useless.