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Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: How do computations actually work?
Date: Wed, 28 May 2025 10:38:54 +0300
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On 2025-05-27 15:41:23 +0000, olcott said:
> On 5/27/2025 3:31 AM, Mikko wrote:
>> On 2025-05-26 16:26:47 +0000, olcott said:
>>
>>> On 5/26/2025 11:05 AM, Fred. Zwarts wrote:
>>>> Op 26.mei.2025 om 17:50 schreef olcott:
>>>>> On 5/26/2025 3:38 AM, Mikko wrote:
>>>>>> On 2025-05-25 14:50:58 +0000, olcott said:
>>>>>>
>>>>>>> On 5/25/2025 4:09 AM, Mikko wrote:
>>>>>>>> On 2025-05-24 15:25:21 +0000, olcott said:
>>>>>>>>
>>>>>>>>> On 5/24/2025 2:54 AM, Mikko wrote:
>>>>>>>>>> On 2025-05-23 16:04:49 +0000, olcott said:
>>>>>>>>>>
>>>>>>>>>>> On 5/23/2025 2:09 AM, Mikko wrote:
>>>>>>>>>>>> On 2025-05-23 02:47:40 +0000, olcott said:
>>>>>>>>>>>>
>>>>>>>>>>>>> On 5/22/2025 8:24 PM, Mike Terry wrote:
>>>>>>>>>>>>>> On 22/05/2025 06:41, Richard Heathfield wrote:
>>>>>>>>>>>>>>> On 22/05/2025 06:23, Keith Thompson wrote:
>>>>>>>>>>>>>>>> Richard Heathfield <rjh@cpax.org.uk> writes:
>>>>>>>>>>>>>>>>> On 22/05/2025 00:14, olcott wrote:
>>>>>>>>>>>>>>>>>> On 5/21/2025 6:11 PM, Richard Heathfield wrote:
>>>>>>>>>>>>>>>> [...]
>>>>>>>>>>>>>>>>>>> Turing proved that what you're asking is impossible.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> That is not what he proved.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> Then you'll be able to write a universal termination analyser that can
>>>>>>>>>>>>>>>>> correctly report for any program and any input whether it halts. Good
>>>>>>>>>>>>>>>>> luck with that.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Not necessarily.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Of course not. But I'm just reflecting. He seemed to think that my
>>>>>>>>>>>>>>> inability to write the kind of program Turing envisaged (an inability
>>>>>>>>>>>>>>> that I readily concede) is evidence for his argument. Well, what's
>>>>>>>>>>>>>>> sauce for the goose is sauce for the gander.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Even if olcott had refuted the proofs of the
>>>>>>>>>>>>>>>> insolvability of the Halting Problem -- or even if he had proved
>>>>>>>>>>>>>>>> that a universal halt decider is possible
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> And we both know what we both think of that idea.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> -- that doesn't imply
>>>>>>>>>>>>>>>> that he or anyone else would be able to write one.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Indeed.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> I've never been entirely clear on what olcott is claiming.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Nor I. Mike Terry seems to have a pretty good handle on it, but no
>>>>>>>>>>>>>>> matter how clearly he explains it to me my eyes glaze over and I start
>>>>>>>>>>>>>>> to snore.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Hey, it's the way I tell 'em!
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Here's what the tabloids might have said about it, if it had made the
>>>>>>>>>>>>>> front pages when the story broke:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> COMPUTER BOFFIN IS TURING IN HIS GRAVE!
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> An Internet crank claims to have refuted Linz HP proof by creating a
>>>>>>>>>>>>>> Halt Decider that CORRECTLY decides its own "impossible input"!
>>>>>>>>>>>>>> The computing world is underwhelmed.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Better? (Appologies for the headline, it's the best I could come up with.)
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Mike.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> There is a key detail about ALL of these proofs
>>>>>>>>>>>>> that no one has paid attention to for 90 years.
>>>>>>>>>>>>>
>>>>>>>>>>>>> It is impossible to define *AN INPUT* to HHH that
>>>>>>>>>>>>> does the opposite of whatever value that HHH returns.
>>>>>>>>>>>>
>>>>>>>>>>>> That is a key detail about HHH. Your HHH is not a part of those proofs.
>>>>>>>>>>>
>>>>>>>>>>> All of the proofs work this same way.
>>>>>>>>>>
>>>>>>>>>> No, they don't. Some proofs derive the same conclusion with an essentially
>>>>>>>>>> different approach.
>>>>>>>>>>
>>>>>>>>>> However, in spite of the differences, they do share a common fieature:
>>>>>>>>>> your HHH is not a part of any of the proofs.
>>>>>>>>>
>>>>>>>>> All of the conventional proofs of the HP assume that
>>>>>>>>> there is an *input D* that can actually do the opposite
>>>>>>>>> of whatever value that HHH returns.
>>>>>>>>
>>>>>>>> Depends on what you mean by "conventional". If you merely mean proofs
>>>>>>>> that apply ordinary logic then there are proofs with a different
>>>>>>>> strategy. If you mean only proofs that use the same strategy that
>>>>>>>> Turing used then you are closer to the truth. But there is no assumption
>>>>>>>> about the exstence of such D. Its existence is proven.
>>>>>>>
>>>>>>> In seems that way until you pay much closer attention.
>>>>>>
>>>>>> No, it seems that way when you pay enough attention.
>>>>>>
>>>>>>> int main()
>>>>>>> {
>>>>>>> DDD(); // The HHH that DDD calls cannot report on the
>>>>>>> } // behavior of its caller because it cannot see
>>>>>>> // is caller.
>>>>>>
>>>>>> If HHH is correctly constructed it does see DDD and everything DDD
>>>>>> calls. Nothing else is relevant.
>>>>>>
>>>>>
>>>>> Try to show how HHH can see anything about its own caller
>>>>> when HHH is not even allowed to look at its caller.
>>>>>
>>>>
>>>> It is irrelevant whether DDD is the caller of HHH or not.
>>>> int main()
>>>> {
>>>> HHH(DDD);
>>>> return;
>>>> }
>>>>
>>>> Now HHH is not called from HHH, but has the same input and it should
>>>> see that DDD includes the Halt7.c code, which aborts, so it should see:
>>>> a halting program.
>>>
>>> In other words you fail to understand that
>>> halting requires reaching a final halt state.
>>
>> It is a sin to present false claims about tother peoples understanding.
>
> You have acted like you don't know this.
You always act like a liar. Not like a good liar but like a stupid liar.
--
Mikko