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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Simulating termination analyzers by dummies --- What does halting
 mean?
Date: Thu, 20 Jun 2024 00:40:28 -0500
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On 6/20/2024 12:29 AM, Mikko wrote:
> On 2024-06-19 14:05:29 +0000, olcott said:
> 
>> On 6/19/2024 4:29 AM, Alan Mackenzie wrote:
>>> olcott <polcott333@gmail.com> wrote:
>>>> On 6/18/2024 4:36 PM, Alan Mackenzie wrote:
>>>>> [ Followup-To: set ]
>>>
>>>>> In comp.theory olcott <polcott333@gmail.com> wrote:
>>>>>> On 6/18/2024 12:57 PM, joes wrote:
>>>>>>> Am Tue, 18 Jun 2024 12:25:44 -0500 schrieb olcott:
>>>>>>>> On 6/18/2024 12:06 PM, joes wrote:
>>>>>>>> void DDD()
>>>>>>>> {
>>>>>>>> H0(DDD);
>>>>>>>> }
>>>>>>>> DDD correctly simulated by any H0 cannot possibly halt.
>>>>>>>>> DDD halts iff H0 halts.
>>>
>>>>>>> So H0 returns "doesn't halt" to DDD, which then stops running,
>>>>>>> so H0 should have returned "halts".
>>>
>>>>>> This was three messages ago.
>>>>>> I had to make sure that you understood that halting
>>>>>> does not mean stopping for any reason and only includes
>>>>>> the equivalent of terminating normally.
>>>
>>>>> No.  You're wrong, here.  A turing machine is either running or it's
>>>>> halted.  There's no third alternative.  If your C programs are not 
>>>>> in one
>>>>> of these two states, they're not equivalent to turing machines.
>>>
>>>> Although I agree with this there seems to be nuances of
>>>> disagreement across the experts.
>>>
>>> I doubt that very much.  The whole point of turing machines is to remove
>>> ambiguity and unneeded features from the theory of computation.  A third
>>> alternative state is unneeded.
>>>
>>
>> Some people say that a TM can halt in a non-final state.
> 
> People may use different words to express the same facts. What some
> people call "halting in a non-final state" is called "rejecting" by
> some other people. But the facts are what they are independently of
> the words used to express them.
> 

Ambiguity and vagueness make communication less effective.
I use C because there are zero gaps in exactly what it means.

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