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computers / comp.ai.philosophy / Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ]

Re: Technically competent Software engineers can verify this halting problem proof refutation [ tautology ]

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Subject: Re: Technically competent Software engineers can verify this halting
problem proof refutation [ tautology ]
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From: NoO...@NoWhere.com (olcott)
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 by: olcott - Sat, 25 Jun 2022 19:20 UTC

On 6/25/2022 2:12 PM, Mr Flibble wrote:
> On Sat, 25 Jun 2022 11:32:12 -0500
> olcott <NoOne@NoWhere.com> wrote:
>
>> On 6/25/2022 11:25 AM, Mr Flibble wrote:
>>> On Sat, 25 Jun 2022 11:06:12 -0500
>>> olcott <NoOne@NoWhere.com> wrote:
>>>
>>>> On 6/25/2022 10:59 AM, Mr Flibble wrote:
>>>>> On Sat, 25 Jun 2022 10:54:13 -0500
>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>
>>>>>> On 6/25/2022 10:21 AM, Mr Flibble wrote:
>>>>>>> On Sat, 25 Jun 2022 10:19:02 -0500
>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>
>>>>>>>> On 6/25/2022 10:09 AM, Mr Flibble wrote:
>>>>>>>>> On Sat, 25 Jun 2022 10:03:17 -0500
>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>>
>>>>>>>>>> On 6/25/2022 9:28 AM, olcott wrote:
>>>>>>>>>>> On 6/25/2022 2:32 AM, Malcolm McLean wrote:
>>>>>>>>>>>> On Saturday, 25 June 2022 at 06:24:23 UTC+1, olcott wrote:
>>>>>>>>>>>>
>>>>>>>>>>>>> On 6/25/2022 12:09 AM, Malcolm McLean wrote:
>>>>>>>>>>>>>> On Saturday, 25 June 2022 at 05:33:53 UTC+1, olcott
>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>> On 6/24/2022 11:01 PM, Malcolm McLean wrote:
>>>>>>>>>>>>>>>> On Friday, 24 June 2022 at 23:16:30 UTC+1, Ben
>>>>>>>>>>>>>>>> Bacarisse wrote:
>>>>>>>>>>>>>>>>> Malcolm McLean <malcolm.ar...@gmail.com> writes:
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> "Dry run" means that a human programmer looks at the
>>>>>>>>>>>>>>>>>> code, and determines
>>>>>>>>>>>>>>>>>> what it does, without actually executing it.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> Going back, now, to what you think needs to be
>>>>>>>>>>>>>>>>> resolved: | He's dry-run P(P) and established that it
>>>>>>>>>>>>>>>>> doesn't halt. He's invoked H
>>>>>>>>>>>>>>>>> | on it and H reports that it doesn't halt. He's run
>>>>>>>>>>>>>>>>> P(P) and it halts.
>>>>>>>>>>>>>>>>> The obvious conclusion is that PO's dry run (if he has
>>>>>>>>>>>>>>>>> indeed done such
>>>>>>>>>>>>>>>>> a thing) is incorrect.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Exactly.
>>>>>>>>>>>>>>>> We do our little energy budget on tigers, and find that
>>>>>>>>>>>>>>>> tigers spend more energy
>>>>>>>>>>>>>>>> than they take in. Well potentially this is dynamite.
>>>>>>>>>>>>>>>> One explanation is that the
>>>>>>>>>>>>>>>> law of conservation of energy is wrong.
>>>>>>>>>>>>>>>> Except, before we countenance that explanation, we need
>>>>>>>>>>>>>>>> to rule out a much
>>>>>>>>>>>>>>>> simpler explanation. Which is that our measurements are
>>>>>>>>>>>>>>>> wrong.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Similarly, PO has worked out what he thinks P(P) should
>>>>>>>>>>>>>>>> be doing, by dry-running
>>>>>>>>>>>>>>>> it, and then actually run P(P) and obtained a different
>>>>>>>>>>>>>>>> result. He also found that H
>>>>>>>>>>>>>>>> agreed with the dry run. It's hard to paraphrase his
>>>>>>>>>>>>>>>> conclusion, but it is extensive
>>>>>>>>>>>>>>>> and far-reaching in its implications. The behaviour of
>>>>>>>>>>>>>>>> code when run is different
>>>>>>>>>>>>>>>> from the correct behaviour of the code when simulated.
>>>>>>>>>>>>>>>> If that's true, then it has
>>>>>>>>>>>>>>>> similar implications for computer science that
>>>>>>>>>>>>>>>> disproving the conservation law
>>>>>>>>>>>>>>>> has for physics.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> But the obvious explanation is that the dry-run was
>>>>>>>>>>>>>>>> incorrect. Lots of people have
>>>>>>>>>>>>>>>> suggested why it is incorrect. But they can't actually
>>>>>>>>>>>>>>>> see the code. PO needs to
>>>>>>>>>>>>>>>> understand that no-one will accept the complicated,
>>>>>>>>>>>>>>>> far-reaching explanation,
>>>>>>>>>>>>>>>> until the simple explanation has been ruled out.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> I already proved that the dry run is correct.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Someone reports that tigers use more energy than they
>>>>>>>>>>>>>> take in, and concludes that
>>>>>>>>>>>>>> the energy conservation law is incorrect.
>>>>>>>>>>>>>> Naturally, everyone is going to say "There must be some
>>>>>>>>>>>>>> mistake. How were your
>>>>>>>>>>>>>> measurements taken? Show us your calculations, maybe
>>>>>>>>>>>>>> you've got your sums wrong."
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Now if they are also uncooperative about sharing the
>>>>>>>>>>>>>> details of the investigation,
>>>>>>>>>>>>>> those reservations will be magnified. There can be
>>>>>>>>>>>>>> legitimate reasons. Tigers are
>>>>>>>>>>>>>> rare and need to be conserved, you can't let anyone who
>>>>>>>>>>>>>> wants have access to the
>>>>>>>>>>>>>> tigers to try to repeat the measurements. But there's
>>>>>>>>>>>>>> also a common illegitimate
>>>>>>>>>>>>>> reason put forwards by people who make extraordinary
>>>>>>>>>>>>>> claims. If the claims were
>>>>>>>>>>>>>> unexceptional, such as that tigers have a similar energy
>>>>>>>>>>>>>> budget to lions, then no-one
>>>>>>>>>>>>>> would be saying "Show me your notebooks. How do you know
>>>>>>>>>>>>>> that calorimeter was
>>>>>>>>>>>>>> calibrated accurately? What's the name of the person who
>>>>>>>>>>>>>> took that measurement
>>>>>>>>>>>>>> and can I interview them?" Extraordinary claims are put
>>>>>>>>>>>>>> through the wringer in a way
>>>>>>>>>>>>>> that ordinary ones are not. I've seen complaints about
>>>>>>>>>>>>>> this from parapsychologists.
>>>>>>>>>>>>>> But if you're going to claim to have discovered a new
>>>>>>>>>>>>>> physical principle, you need
>>>>>>>>>>>>>> to present rock solid evidence.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> In this case, we can't see H. We can only suggest
>>>>>>>>>>>>>> explanations for its behaviour.
>>>>>>>>>>>>> It seems that you simply lack the technical competence.
>>>>>>>>>>>>> Go back and look at my proof again.
>>>>>>>>>>>>>
>>>>>>>>>>>> Sorry no. I've been programming since I was a boy and I
>>>>>>>>>>>> have a PhD in a computational-
>>>>>>>>>>>> related subject. I'm confident of my technical abilities.
>>>>>>>>>>>> What I can't do of course
>>>>>>>>>>>> is tell you exactly what is going on in code I cannot see.
>>>>>>>>>>>> I've got a pretty good idea,
>>>>>>>>>>>> but I can only reconstruct on the basis of what you tell
>>>>>>>>>>>> me. Ben thinks that I've
>>>>>>>>>>>> got it wrong and in fact there are no nested emulations at
>>>>>>>>>>>> all. I've no way of actually
>>>>>>>>>>>> disproving that idea without seeing H.
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> To fully understand this a software engineer must be an
>>>>>>>>>>> expert in: (a) The C programming language,
>>>>>>>>>>> (b) The x86 programming language,
>>>>>>>>>>> (c) Exactly how C translates into x86 and,
>>>>>>>>>>> (d) The ability to recognize infinite recursion at the x86
>>>>>>>>>>> assembly language level.
>>>>>>>>>>>
>>>>>>>>>>> Anyone having the above credentials can validate my work, if
>>>>>>>>>>> you cannot validate my work then you do not sufficiently
>>>>>>>>>>> have the above credentials.
>>>>>>>>>>>
>>>>>>>>>>> Exactly how C translates into x86 is mandatory. If you don't
>>>>>>>>>>> know how the C calling conventions are implemented in x86
>>>>>>>>>>> you cannot validate my work.
>>>>>>>>>>>
>>>>>>>>>>> From a purely software engineering perspective H(P,P)
>>>>>>>>>>> is required to to correctly determine that its correct and
>>>>>>>>>>> complete x86 emulation of its input would never reach the
>>>>>>>>>>> "ret" instruction of this input and H must do this in a
>>>>>>>>>>> finite number of steps.
>>>>>>>>>>>
>>>>>>>>>>> The ordinary semantics of standard C and the conventional
>>>>>>>>>>> x86 language are the entire semantics required to
>>>>>>>>>>> conclusively prove that H(P,P) does correctly determine
>>>>>>>>>>> that its correct and complete x86 emulation of its input
>>>>>>>>>>> would never reach the "ret" instruction (final state) of
>>>>>>>>>>> this input thus never halts.
>>>>>>>>>>>
>>>>>>>>>>> The correct and complete x86 emulation of its input by
>>>>>>>>>>> H(P,P) would never reach the "ret" instruction of P because
>>>>>>>>>>> both H and P would remain stuck in infinitely nested
>>>>>>>>>>> emulation.
>>>>>>>>>>>
>>>>>>>>>>> void P(u32 x)
>>>>>>>>>>> {
>>>>>>>>>>>   if (H(x, x))
>>>>>>>>>>>     HERE: goto HERE;
>>>>>>>>>>>   return;
>>>>>>>>>>> }
>>>>>>>>>>>
>>>>>>>>>>> int main()
>>>>>>>>>>> {
>>>>>>>>>>>   Output("Input_Halts = ", H((u32)P, (u32)P));
>>>>>>>>>>> }
>>>>>>>>>>>
>>>>>>>>>>> _P()
>>>>>>>>>>> [00001202](01)  55              push ebp
>>>>>>>>>>> [00001203](02)  8bec            mov ebp,esp
>>>>>>>>>>> [00001205](03)  8b4508          mov eax,[ebp+08]
>>>>>>>>>>> [00001208](01)  50              push eax
>>>>>>>>>>> [00001209](03)  8b4d08          mov ecx,[ebp+08]
>>>>>>>>>>> [0000120c](01)  51              push ecx
>>>>>>>>>>> [0000120d](05)  e820feffff      call 00001032
>>>>>>>>>>> [00001212](03)  83c408          add esp,+08
>>>>>>>>>>> [00001215](02)  85c0            test eax,eax
>>>>>>>>>>> [00001217](02)  7402            jz 0000121b
>>>>>>>>>>> [00001219](02)  ebfe            jmp 00001219
>>>>>>>>>>> [0000121b](01)  5d              pop ebp
>>>>>>>>>>> [0000121c](01)  c3              ret
>>>>>>>>>>> Size in bytes:(0027) [0000121c]
>>>>>>>>>>>
>>>>>>>>>>> _main()
>>>>>>>>>>> [00001222](01)  55              push ebp
>>>>>>>>>>> [00001223](02)  8bec            mov ebp,esp
>>>>>>>>>>> [00001225](05)  6802120000      push 00001202
>>>>>>>>>>> [0000122a](05)  6802120000      push 00001202
>>>>>>>>>>> [0000122f](05)  e8fefdffff      call 00001032
>>>>>>>>>>> [00001234](03)  83c408          add esp,+08
>>>>>>>>>>> [00001237](01)  50              push eax
>>>>>>>>>>> [00001238](05)  68b3030000      push 000003b3
>>>>>>>>>>> [0000123d](05)  e8c0f1ffff      call 00000402
>>>>>>>>>>> [00001242](03)  83c408          add esp,+08
>>>>>>>>>>> [00001245](02)  33c0            xor eax,eax
>>>>>>>>>>> [00001247](01)  5d              pop ebp
>>>>>>>>>>> [00001248](01)  c3              ret
>>>>>>>>>>> Size in bytes:(0039) [00001248]
>>>>>>>>>>>
>>>>>>>>>>>  machine   stack     stack     machine    assembly
>>>>>>>>>>>  address   address   data      code       language
>>>>>>>>>>>  ========  ========  ========  =========  =============
>>>>>>>>>>> [00001222][0010200f][00000000] 55         push ebp
>>>>>>>>>>> [00001223][0010200f][00000000] 8bec       mov ebp,esp
>>>>>>>>>>> [00001225][0010200b][00001202] 6802120000 push 00001202 //
>>>>>>>>>>> push P [0000122a][00102007][00001202] 6802120000 push
>>>>>>>>>>> 00001202 // push P [0000122f][00102003][00001234] e8fefdffff
>>>>>>>>>>> call 00001032 // call executed H
>>>>>>>>>>>
>>>>>>>>>>> Begin Simulation   Execution Trace Stored at:2120c3
>>>>>>>>>>> Address_of_H:1032
>>>>>>>>>>> [00001202][002120af][002120b3] 55         push ebp
>>>>>>>>>>> [00001203][002120af][002120b3] 8bec       mov ebp,esp
>>>>>>>>>>> [00001205][002120af][002120b3] 8b4508     mov eax,[ebp+08]
>>>>>>>>>>> [00001208][002120ab][00001202] 50         push eax      //
>>>>>>>>>>> push P [00001209][002120ab][00001202] 8b4d08     mov
>>>>>>>>>>> ecx,[ebp+08] [0000120c][002120a7][00001202] 51         push
>>>>>>>>>>> ecx      // push P [0000120d][002120a3][00001212] e820feffff
>>>>>>>>>>> call 00001032 // call emulated H Infinitely Recursive
>>>>>>>>>>> Simulation Detected Simulation Stopped
>>>>>>>>>>>
>>>>>>>>>>> H knows its own machine address and on this basis it can
>>>>>>>>>>> easily examine its stored execution_trace of P (see above)
>>>>>>>>>>> to determine: (a) P is calling H with the same arguments
>>>>>>>>>>> that H was called with. (b) No instructions in P could
>>>>>>>>>>> possibly escape this otherwise infinitely recursive
>>>>>>>>>>> emulation. (c) H aborts its emulation of P before its call
>>>>>>>>>>> to H is emulated.
>>>>>>>>>>
>>>>>>>>>> When you know that H simply implements the above algorithm
>>>>>>>>>> there is no need to see its source code. I am reserving the
>>>>>>>>>> publication of the 5 pages of the source code of the halt
>>>>>>>>>> decider for journal publication.
>>>>>>>>>
>>>>>>>>> Your H is not a pure function as it behaves differently
>>>>>>>>> depending on what is invoking it (it returns a decision answer
>>>>>>>>> to main() but not to P()) and it has side effects (aborting a
>>>>>>>>> simulation).
>>>>>>>>>
>>>>>>>>> /Flibble
>>>>>>>>>
>>>>>>>>
>>>>>>>> Finally a critique that has a reasonable basis.
>>>>>>>>
>>>>>>>> When I transformed H into a pure function of its inputs it
>>>>>>>> always has the same behavior no matter how it is invoked.
>>>>>>>>
>>>>>>>> The x86 emulation of P is aborted before P invokes H.
>>>>>>>
>>>>>>> Nope. Preventing a call to H is equivalent to H behaving
>>>>>>> differently for same inputs. Aborting a simulation is a side
>>>>>>> effect: pure functions do not have side effects.
>>>>>>>
>>>>>>> /Flibble
>>>>>>>
>>>>>>
>>>>>> In other words you are saying that a halt decider is simply not
>>>>>> allowed to report when it correctly detects that it is being
>>>>>> called in infinitely recursive simulation.
>>>>>
>>>>> I keep telling you this: the infinite recursion is NOT present
>>>>> when using a valid halt decider: your H is NOT a valid halt
>>>>> decider.
>>>>>
>>>>> Simulation is an erroneous approach as a simulating halt decider
>>>>> can not answer in finite time for a non-halting input as there is
>>>>> no proven general solution for detecting non-halting behaviour.
>>>>>
>>>>> /Flibble
>>>>>
>>>>
>>>> IN OTHER WORDS THOROUGH LACK OF TECHNICAL COMPETANCE OR DISHONESTLY
>>>> YOU DENY THIS VERIFIABLE FACT:
>>>>
>>>> The correct and complete x86 emulation of its input by H(P,P)
>>>> would never reach the "ret" instruction of P because both H and
>>>> P would remain stuck in infinitely nested emulation.
>>>
>>> For [Strachey 1965] (and the proofs based on it) H is NOT a
>>> simulating halt decider so there is no infinite recursion as there
>>> is no emulation.
>>>
>>> Valid halt deciders ANALYSE P, they do not EMULATE P.
>>>
>>> /Flibble
>>>
>>
>> I provide a halt decider H that gets the right answer and your
>> rebuttal is that H does not get the right answer because there is
>> another different halt decider named H1 that gets the wrong answer.
>
> Your H also gets the wrong answer:
>
> void Px(u32 x)
> {
> H(x, x);
> return;
> }
>
> int main()
> {
> Output("Input_Halts = ", H((u32)Px, (u32)Px));
> }
>
> ...[000013e8][00102357][00000000] 83c408 add esp,+08
> ...[000013eb][00102353][00000000] 50 push eax
> ...[000013ec][0010234f][00000427] 6827040000 push 00000427
> ---[000013f1][0010234f][00000427] e880f0ffff call 00000476
> Input_Halts = 0
> ...[000013f6][00102357][00000000] 83c408 add esp,+08
> ...[000013f9][00102357][00000000] 33c0 xor eax,eax
> ...[000013fb][0010235b][00100000] 5d pop ebp
> ...[000013fc][0010235f][00000004] c3 ret
> Number of Instructions Executed(16120)
>
> It gets the answer wrong, i.e. input has not been decided correctly.
> QED.
>
> /Flibble
>

Yet you only have dogma and no supporting reasoning.

The reason that you only have dogma and no supporting reasoning is that
tautologies such as this one have no correct rebuttal in the universe:

The ordinary semantics of standard C and the conventional x86 language
are the entire semantics required to conclusively prove that H(P,P) does
correctly predict that its correct and complete x86 emulation of its
input would never reach the "ret" instruction (final state) of this
input thus never halts.

--
Copyright 2022 Pete Olcott

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

SubjectRepliesAuthor
o Technically competent Software engineers can verify this halting

By: olcott on Wed, 22 Jun 2022

158olcott
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