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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: HHH(DD) does correctly reject its input as non-halting ---
VERIFIED FACT +++
Date: Tue, 17 Jun 2025 10:11:59 -0500
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In-Reply-To: <08ab24ddbb4dd0f733da4431edf4baa1e078e1ce@i2pn2.org>
On 6/16/2025 8:41 PM, Richard Damon wrote:
> On 6/16/25 3:35 PM, olcott wrote:
>> On 6/16/2025 5:36 AM, Mikko wrote:
>>> On 2025-06-15 13:49:51 +0000, olcott said:
>>>
>>>> On 6/15/2025 3:24 AM, Fred. Zwarts wrote:
>>>>> Op 14.jun.2025 om 15:38 schreef olcott:
>>>>>> On 6/14/2025 4:10 AM, Fred. Zwarts wrote:
>>>>>>> Op 13.jun.2025 om 17:53 schreef olcott:
>>>>>>>> On 6/13/2025 5:51 AM, Mikko wrote:
>>>>>>>>> On 2025-06-12 15:30:05 +0000, olcott said:
>>>>>>>>>
>>>>>>>>>> int DD()
>>>>>>>>>> {
>>>>>>>>>> int Halt_Status = HHH(DD);
>>>>>>>>>> if (Halt_Status)
>>>>>>>>>> HERE: goto HERE;
>>>>>>>>>> return Halt_Status;
>>>>>>>>>> }
>>>>>>>>>>
>>>>>>>>>> It is a verified fact that DD() *is* one of the forms
>>>>>>>>>> of the counter-example input as such an input would
>>>>>>>>>> be encoded in C. Christopher Strachey wrote his in CPL.
>>>>>>>>>>
>>>>>>>>>> // rec routine P
>>>>>>>>>> // §L :if T[P] go to L
>>>>>>>>>> // Return §
>>>>>>>>>> // https://academic.oup.com/comjnl/article/7/4/313/354243
>>>>>>>>>> void Strachey_P()
>>>>>>>>>> {
>>>>>>>>>> L: if (HHH(Strachey_P)) goto L;
>>>>>>>>>> return;
>>>>>>>>>> }
>>>>>>>>>>
>>>>>>>>>> https://academic.oup.com/comjnl/article-
>>>>>>>>>> abstract/7/4/313/354243? redirectedFrom=fulltext
>>>>>>>>>
>>>>>>>>> Strachey only informally presents the idea of the proof. Formalism
>>>>>>>>> and details needed in a rigorous proof is not shown.
>>>>>>>>>
>>>>>>>>
>>>>>>>> void DDD()
>>>>>>>> {
>>>>>>>> HHH(DDD);
>>>>>>>> return;
>>>>>>>> }
>>>>>>>>
>>>>>>>> _DDD()
>>>>>>>> [00002192] 55 push ebp
>>>>>>>> [00002193] 8bec mov ebp,esp
>>>>>>>> [00002195] 6892210000 push 00002192
>>>>>>>> [0000219a] e833f4ffff call 000015d2 // call HHH
>>>>>>>> [0000219f] 83c404 add esp,+04
>>>>>>>> [000021a2] 5d pop ebp
>>>>>>>> [000021a3] c3 ret
>>>>>>>> Size in bytes:(0018) [000021a3]
>>>>>>>>
>>>>>>>> Exactly how would DDD correctly emulated by HHH
>>>>>>>> reach its own "ret" instruction final halt state?
>>>>>>>
>>>>>>> Indeed, HHH fails where other world-class simulators have no
>>>>>>> problem to simulate the program specified in the input.
>>>>>>
>>>>>> So you still don't understand what recursive simulation is?
>>>>>
>>>>> It seems I understand it better than you do. You seem to think that
>>>>> every recursion is a infinite recursion. As soon as you see a
>>>>> recursion, you think it has been proven that it is an infinite
>>>>> recursion, even if the code specifies an abort and halt.
>>>>
>>>> <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>>> If simulating halt decider H correctly simulates its
>>>> input D until H correctly determines that its simulated D
>>>> would never stop running unless aborted then
>>>>
>>>> H can abort its simulation of D and correctly report that D
>>>> specifies a non-halting sequence of configurations.
>>>> </MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>>>
>>>> It is an easily verified fact that the input to HHH(DDD) and
>>>> the input to HHH(DD) meets the above self-evidently true criteria.
>>>
>>> No, they don't meet the second cireterion. HHH does not correctly
>>> determine that its input would never stop running unless aborted.
>>> Perhaps you may deceive with someting like equivocation someone to
>>> believe it does but in reality it does not.
>>>
>>
>> No one has ever even attempted to show the details
>> of how this is not correct:
>>
>> void DDD()
>> {
>> HHH(DDD);
>> return;
>> }
>>
>> When one or more instructions of DDD are correctly
>> simulated by ANY simulating termination analyzer HHH
>> then this correctly simulated DDD never reaches its
>> simulated "return" statement final halt state.
>>
>>
>
> The problem is that isn't the definition of non-halting, and thus
> irrelevent.
>
Counter-factual.
Halting is defined as reaching a final halt state.
void Infinite_Recursion()
{
Infinite_Recursion();
return;
}
void Infinite_Loop()
{
HERE: goto HERE;
return;
}
void DDD()
{
HHH(DDD);
return;
}
When it is understood that HHH does simulate itself
simulating DDD then any first year CS student knows
that when each of the above are correctly simulated
by HHH that none of them ever stop running unless aborted.
> You have indicated that you agree that this actually is an error in your
> logic by failing to actually attempt to refute the error pointed out
> with any actual facts. All you do is continue to make the baseless
> claim, which is just a lie.
>
> Sorry, but your refusal to even try to argue to the facts, but just
> repeat your baseless assertion just shows that you known and effectively
> acknoledge that you have no actual basis for the claim (if you had a
> basis, why look like an idiot and not present it).
>
--
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer