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From: olcott <abc@def.com>
Newsgroups: comp.theory
Subject: Re: Defining a correct halting decidability decider
Date: Sun, 4 Aug 2024 17:57:34 -0500
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On 8/4/2024 5:31 PM, Richard Damon wrote:
> On 8/4/24 6:15 PM, olcott wrote:
>> On 8/4/2024 5:02 PM, Richard Damon wrote:
>>> On 8/4/24 5:58 PM, olcott wrote:
>>>> On 8/4/2024 4:43 PM, Richard Damon wrote:
>>>>> On 8/4/24 5:05 PM, olcott wrote:
>>>>>> On 8/4/2024 3:14 PM, Richard Damon wrote:
>>>>>>> On 8/4/24 3:33 PM, olcott wrote:
>>>>>>>> On 8/4/2024 2:05 PM, Richard Damon wrote:
>>>>>>>>> On 8/4/24 2:49 PM, olcott wrote:
>>>>>>>>>> On 8/4/2024 1:38 PM, Richard Damon wrote:
>>>>>>>>>>> On 8/4/24 10:46 AM, olcott wrote:
>>>>>>>>>>>> When we define an input that does the opposite of whatever
>>>>>>>>>>>> value that its halt decider reports there is a way for the
>>>>>>>>>>>> halt decider to report correctly.
>>>>>>>>>>>>
>>>>>>>>>>>> int DD()
>>>>>>>>>>>> {
>>>>>>>>>>>>    int Halt_Status = HHH(DD);
>>>>>>>>>>>>    if (Halt_Status)
>>>>>>>>>>>>      HERE: goto HERE;
>>>>>>>>>>>>    return Halt_Status;
>>>>>>>>>>>> }
>>>>>>>>>>>>
>>>>>>>>>>>> int main()
>>>>>>>>>>>> {
>>>>>>>>>>>>    HHH(DD);
>>>>>>>>>>>> }
>>>>>>>>>>>>
>>>>>>>>>>>> HHH returns false indicating that it cannot
>>>>>>>>>>>> correctly determine that its input halts.
>>>>>>>>>>>> True would mean that its input halts.
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> But false indicates that the input does not halt, but it does.
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> I made a mistake that I corrected on a forum that allows
>>>>>>>>>> editing: *Defining a correct halting decidability decider*
>>>>>>>>>> 1=input does halt
>>>>>>>>>> 0=input cannot be decided to halt
>>>>>>>>>
>>>>>>>>> And thus, not a halt decider.
>>>>>>>>>
>>>>>>>>> Sorry, you are just showing your ignorance.
>>>>>>>>>
>>>>>>>>> And, the problem is that a given DD *CAN* be decided about 
>>>>>>>>> halting, just not by HHH, so "can not be decided" is not a 
>>>>>>>>> correct answer. 
>>>>>>>>
>>>>>>>> A single universal decider can correctly determine whether
>>>>>>>> or not an input could possibly be denial-of-service-attack.
>>>>>>>> 0=yes does not halt or pathological self-reference
>>>>>>>> 1=no  halts
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>> Which isn't halt deciding, so you are just admitting you have 
>>>>>>> been lying about working on the Halting Problem.
>>>>>>>
>>>>>>
>>>>>> It does seem to refute Rice.
>>>>>>
>>>>>
>>>>> Nope, because your criteria in not a semantic property of the INPUT 
>>>>> (or it is trivial, as 0 is always a correct answer).
>>>>>
>>>>
>>>> It is only allowed to answer 0 when when
>>>> (a) The input does not halt
>>>> (b) The input has a pathological relationship with the decider.
>>>>
>>>>
>>>
>>> Which means it is not a property of the INPUT, but the input and the 
>>> decider.
>>>
>>
>> It is a property of the input.
>> (a) The input does
>> (b) The input has
>>
> 
> But not of JUST the input.
> 

It is a semantic property of the input.
I don't care if you lie about it.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer