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Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ]

Subject Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ]
Newsgroups comp.theory, comp.ai.philosophy, comp.software-eng, comp.lang.c
References (19 earlier) <cXAFI.13019$Vv6.3635@fx45.iad> <waedndb5maFOYHv9nZ2dnUU7-T_NnZ2d@giganews.com> <pWPFI.5220$r21.635@fx38.iad> <cuCdnXBzVYGyTXr9nZ2dnUU7-R2dnZ2d@giganews.com> <z0VFI.972$6j.274@fx04.iad>
From olcott <NoOne@NoWhere.com>
Date 2021-07-09 09:02 -0500
Message-ID <doWdnZLz-M9By3X9nZ2dnUU7-R2dnZ2d@giganews.com> (permalink)

Cross-posted to 4 groups.

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On 7/9/2021 4:53 AM, Richard Damon wrote:
> On 7/9/21 12:27 AM, olcott wrote:
>> On 7/8/2021 11:05 PM, Richard Damon wrote:
>>> On 7/8/21 9:29 AM, olcott wrote:
>>>> On 7/8/2021 6:02 AM, Richard Damon wrote:
>>>>> On 7/7/21 11:04 PM, olcott wrote:
>>>>>> On 7/7/2021 9:51 PM, Richard Damon wrote:
>>>>>
>>>>>>> Because The Halting Problem proof is based on a machine that that
>>>>>>> can be
>>>>>>> given ANY Turing Machine, If you environment happens to disallow
>>>>>>> certain
>>>>>>> machines, and that machine happens to be the machine H^, then you
>>>>>>> proof
>>>>>>> isn't valid.It is quite possible to write a Turing Equivalent
>>>>>>> machine to
>>>>>>> halt decide many different sorts of non-Turing complete systems,
>>>>>>> so you
>>>>>>> aren't really proving anything new.
>>>>>>>
>>>>>>
>>>>>> Where the Hell did you get the idea that this machine disallows any
>>>>>> input?
>>>>>>
>>>>>>
>>>>>
>>>>> Sine your system does not proper execute any machine that it thinks in
>>>>> an infinite behavior,
>>>>
>>>> H does not execute any machines that never halt until they halt because
>>>> they never halt.
>>>>
>>>>> These machines don't exist as proper Turing Machines.
>>>>>
>>>>
>>>> There is nothing improper about them.
>>>>
>>>>> Particularly since it gets some machines (like H^(H^)) wring.
>>>>>
>>>>> H^(H^) is EASILY proved to be halting for your H from fundamental
>>>>> principles, thus your system is broken.
>>>>>
>>>>
>>>> The global halt decider would abort H(⟨Ĥ⟩, ⟨Ĥ⟩) its input before its
>>>> input ever reached either final state.
>>>
>>> And thus your system can not be used to figure out if H is correct or
>>> not, because it stops the machine before the answer is REALLY proven.
>>>
>>>>
>>>> H and the embedded halt decider are both designed to abort their input
>>>> as soon as they detect that the pure simulation of their input would
>>>> never halt. A global halt decider is always one step ahead of any input.
>>>> A local halt decider is sometimes one step behind its input.
>>>>
>>>> The issue of a computation halting even though the halt decider decides
>>>> that it never halts is an issue of timing.
>>>>
>>>> The halt decider is only required to get its inputs correctly. If the
>>>> later part of a non-halting computation is presented to the halt decider
>>>> it does what it is supposed to do and aborts this input.
>>>>
>>>> It can't do anything with the earlier part because the earlier part was
>>>> not submitted as input. A global halt decider eliminates this issue.
>>>>
>>>
>>> Right, The global decider says that a machine that WOULD come to a HALT
>>> if let run, gets aborted and not allowed to finish, thus it is WRONG, as
>>> the computation is REALLY HALTING, because if given enough (but still a
>>> finite number) of step, it would halt.
>>>
>>
>> I can discard the global halt deicider again.
>>
> It has ALWAYS been a failure, because it immediately make your system
> unsuitable for your proof.
> 
> Removing it doesn't make your statement right, but at least you start
> with something you can talk about being able to run Turing Machine
> Equivalents.
> 
> Without the Global Halt Decider, we can talk about what P(P) actually
> does, which is a required part of the proof, since that is what the
> question is about.
> 

[Halt Deciding Axiom] When the pure simulation of the machine 
description ⟨P⟩ of a machine P on its input I never halts we know that 
P(I) never halts.

Because the pure simulation of P(P) never halts this proves that P(P) 
meets the conventional definition of a computation that never halts.

-- 
Copyright 2021 Pete Olcott

"Great spirits have always encountered violent opposition from mediocre 
minds." Einstein

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Thread

How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-05 11:28 -0500
  Re: How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-05 14:30 -0500
  Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-05 16:40 -0500
    Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 19:04 -0500
      Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 20:01 -0500
        Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 21:37 -0500
      Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 22:06 -0500
        Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 10:59 -0500
        Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 11:33 -0500
          Re: How do we know that H(P,P)==0 is correct? (V2) olcott <NoOne@NoWhere.com> - 2021-07-06 21:00 -0500
            Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 11:24 -0500
              Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 13:10 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 14:51 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 21:04 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 07:46 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 22:54 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) olcott <NoOne@NoWhere.com> - 2021-07-08 11:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) olcott <NoOne@NoWhere.com> - 2021-07-08 20:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-08 21:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-08 21:36 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 08:59 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 18:06 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 12:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 20:16 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 14:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 22:08 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 16:13 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:00 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 16:15 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 16:25 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 11:08 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) olcott <NoOne@NoWhere.com> - 2021-07-10 11:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-07-10 15:19 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] gazelle@shell.xmission.com (Kenny McCormack) - 2021-07-11 00:29 +0000
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 19:57 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 17:29 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 18:31 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 19:33 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-10 20:00 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ suspended not halted ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:14 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:30 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ]( Flibble agrees ) olcott <NoOne@NoWhere.com> - 2021-07-11 14:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-12 17:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 08:41 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 09:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:02 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 15:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 16:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 22:12 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 09:17 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 19:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 19:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-15 22:03 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-16 21:48 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-19 10:11 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:33 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:43 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 17:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 20:11 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 20:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 21:14 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 21:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 15:53 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 10:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 22:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 23:01 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 23:45 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-10 09:25 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ type mismatch error ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:32 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ type mismatch error ] olcott <NoOne@NoWhere.com> - 2021-07-10 11:19 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:31 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 21:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-08 08:29 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-09 09:02 -0500
    Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-05 23:15 -0500
      Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 10:26 -0500
      Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-06 21:18 +0100
        Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 15:41 -0500
          Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-06 23:18 +0100
    Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 09:47 -0500
      Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:15 -0500
  Re: How do we know that H(P,P)==0 is correct? Bonita Montero <Bonita.Montero@gmail.com> - 2021-07-07 14:18 +0200
    Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 13:43 -0500
      Re: How do we know that H(P,P)==0 is correct? (V3) scott@slp53.sl.home (Scott Lurndal) - 2021-07-07 19:01 +0000
        Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 14:39 -0500
    Re: How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-07 17:05 -0500
      Re: How do we know that H(P,P)==0 is correct? [ proof ] olcott <NoOne@NoWhere.com> - 2021-07-07 18:04 -0500

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