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computers / comp.ai.philosophy / Re: Halting Problem proof refutation is a tautology thus irrefutable [ liar or incompetent ]

Re: Halting Problem proof refutation is a tautology thus irrefutable [ liar or incompetent ]

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https://www.novabbs.com/computers/article-flat.php?id=9598&group=comp.ai.philosophy#9598

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Subject: Re: Halting Problem proof refutation is a tautology thus irrefutable
[ liar or incompetent ]
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Newsgroups: comp.theory,comp.ai.philosophy,sci.logic,sci.math
References: <d8-dnTlDr8xgoTL_nZ2dnUU7_83NnZ2d@giganews.com>
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From: Rich...@Damon-Family.org (Richard Damon)
In-Reply-To: <K4adnWJPQ6H9DzL_nZ2dnUU7_8zNnZ2d@giganews.com>
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Date: Sun, 19 Jun 2022 17:30:47 -0400
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 by: Richard Damon - Sun, 19 Jun 2022 21:30 UTC

On 6/19/22 5:17 PM, olcott wrote:
> On 6/19/2022 4:00 PM, Richard Damon wrote:
>> On 6/19/22 4:43 PM, olcott wrote:
>>> On 6/19/2022 3:31 PM, Mr Flibble wrote:
>>>> On Sun, 19 Jun 2022 15:16:05 -0500
>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>
>>>>> On 6/19/2022 3:08 PM, Mr Flibble wrote:
>>>>>> On Sun, 19 Jun 2022 15:05:11 -0500
>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>> On 6/19/2022 2:59 PM, Mr Flibble wrote:
>>>>>>>> On Sun, 19 Jun 2022 14:17:42 -0500
>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>> On 6/19/2022 1:43 PM, Richard Damon wrote:
>>>>>>>>>> On 6/19/22 2:30 PM, olcott wrote:
>>>>>>>>>>> On 6/19/2022 1:20 PM, Richard Damon wrote:
>>>>>>>>>>>> On 6/19/22 2:08 PM, olcott wrote:
>>>>>>>>>>>>> On 6/19/2022 12:40 PM, Mr Flibble wrote:
>>>>>>>>>>>>>> On Sun, 19 Jun 2022 12:16:05 -0500
>>>>>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>>>>>>>> On 6/19/2022 12:01 PM, Mr Flibble wrote:
>>>>>>>>>>>>>>>> On Sun, 19 Jun 2022 11:23:24 -0500
>>>>>>>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>>>>>>>>>> On 6/19/2022 11:01 AM, Mr Flibble wrote:
>>>>>>>>>>>>>>>>>> On Sun, 19 Jun 2022 10:39:34 -0500
>>>>>>>>>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>>>>>>>>>>>> On 6/19/2022 10:23 AM, Mr Flibble wrote:
>>>>>>>>>>>>>>>>>>>> On Sun, 19 Jun 2022 10:13:00 -0500
>>>>>>>>>>>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
>>>>>>>>>>>>>>>>>>>>> computation that halts … the Turing machine will halt
>>>>>>>>>>>>>>>>>>>>> whenever it enters a final state. (Linz:1990:234)
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> A halt decider must compute the mapping from its
>>>>>>>>>>>>>>>>>>>>> inputs to an accept or reject state on the basis of
>>>>>>>>>>>>>>>>>>>>> the actual behavior of these actual inputs.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> When a simulating halt decider rejects all inputs as
>>>>>>>>>>>>>>>>>>>>> non-halting whenever it correctly detects [in a
>>>>>>>>>>>>>>>>>>>>> finite number of steps] that its correct and complete
>>>>>>>>>>>>>>>>>>>>> simulation of its input would never reach [a] final
>>>>>>>>>>>>>>>>>>>>> state of this input then all [these] inputs
>>>>>>>>>>>>>>>>>>>>> (including pathological inputs) are decided
>>>>>>>>>>>>>>>>>>>>> correctly.
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> 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
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> _P()
>>>>>>>>>>>>>>>>>>> [000010fa](01)  55              push ebp
>>>>>>>>>>>>>>>>>>> [000010fb](02)  8bec            mov ebp,esp
>>>>>>>>>>>>>>>>>>> [000010fd](03)  8b4508          mov eax,[ebp+08]
>>>>>>>>>>>>>>>>>>> [00001100](01)  50              push eax       // push
>>>>>>>>>>>>>>>>>>> P [00001101](03)  8b4d08          mov ecx,[ebp+08]
>>>>>>>>>>>>>>>>>>> [00001104](01)  51              push ecx       // push
>>>>>>>>>>>>>>>>>>> P [00001105](05)  e800feffff      call 00000f0a  //
>>>>>>>>>>>>>>>>>>> call H [0000110a](03)  83c408          add esp,+08
>>>>>>>>>>>>>>>>>>> [0000110d](02)  85c0            test eax,eax
>>>>>>>>>>>>>>>>>>> [0000110f](02)  7402            jz 00001113
>>>>>>>>>>>>>>>>>>> [00001111](02)  ebfe            jmp 00001111
>>>>>>>>>>>>>>>>>>> [00001113](01)  5d              pop ebp
>>>>>>>>>>>>>>>>>>> [00001114](01)  c3              ret
>>>>>>>>>>>>>>>>>>> Size in bytes:(0027) [00001114]
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> Begin Simulation   Execution Trace Stored at:211ee2
>>>>>>>>>>>>>>>>>>> ...[000010da][00211ece][00211ed2] 55         push ebp
>>>>>>>>>>>>>>>>>>> ...[000010db][00211ece][00211ed2] 8bec       mov
>>>>>>>>>>>>>>>>>>> ebp,esp ...[000010dd][00211ece][00211ed2] 8b4508
>>>>>>>>>>>>>>>>>>> mov eax,[ebp+08] ...[000010e0][00211eca][000010da] 50
>>>>>>>>>>>>>>>>>>> push eax      // push P
>>>>>>>>>>>>>>>>>>> ...[000010e1][00211eca][000010da] 8b4d08     mov
>>>>>>>>>>>>>>>>>>> ecx,[ebp+08] ...[000010e4][00211ec6][000010da] 51
>>>>>>>>>>>>>>>>>>>     push ecx // push P
>>>>>>>>>>>>>>>>>>> ...[000010e5][00211ec2][000010ea] e820feffff call
>>>>>>>>>>>>>>>>>>> 00000f0a // call H Infinitely Recursive Simulation
>>>>>>>>>>>>>>>>>>> Detected Simulation Stopped
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> *All technically competent software engineers* will see
>>>>>>>>>>>>>>>>>>> that when H bases its halt status decision on whether
>>>>>>>>>>>>>>>>>>> or not its complete and correct x86 emulation of its
>>>>>>>>>>>>>>>>>>> input would ever reach the "ret" instruction of this
>>>>>>>>>>>>>>>>>>> input that H is correct to reject this input.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> 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
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> *All technically competent software engineers*
>>>>>>>>>>>>>>>> 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
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Because it is an easily verified fact that the correct and
>>>>>>>>>>>>>>> complete x86 emulation of the input to H(P,P) by H would
>>>>>>>>>>>>>>> never reach the "ret" instruction of P and this is the
>>>>>>>>>>>>>>> criterion measure for H to reject its input how do you
>>>>>>>>>>>>>>> figure that H gets the wrong answer?
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> What I am saying is a logical tautology the same as when we
>>>>>>>>>>>>>>> know that X is a black cat then we know that X is a cat.
>>>>>>>>>>>>>> We are talking about Px, not P. We are talking about your H
>>>>>>>>>>>>>> not analysing what its input actually does and instead
>>>>>>>>>>>>>> assuming that an input that calls H is always pathological.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> 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
>>>>>>>>>>>>>
>>>>>>>>>>>>> DO YOU AGREE WITH THIS?
>>>>>>>>>>>>> H(Px,Px) does correctly determine that the complete and
>>>>>>>>>>>>> correct x86 emulation of its input would never reach the
>>>>>>>>>>>>> "ret" instruction of Px.
>>>>>>>>>>>>
>>>>>>>>>>>> That is only true if H never returns ANY answer (and thus
>>>>>>>>>>>> fails to be a decider).
>>>>>>>>>>> Competent software engineers will understand that when the
>>>>>>>>>>> behavior of Px matches this pattern that correct and complete
>>>>>>>>>>> x86 emulation of the input to H(Px,Px) by H would never reach
>>>>>>>>>>> the "ret" instruction of Px:
>>>>>>>>>>>
>>>>>>>>>>> H knows its own machine address and on this basis:
>>>>>>>>>>> (a) H recognizes that Px is calling H with the same arguments
>>>>>>>>>>> that H was called with.
>>>>>>>>>>> (b) There are no instructions in Px that could possibly escape
>>>>>>>>>>> this infinitely recursive emulation.
>>>>>>>>>>> (c) H aborts its emulation of Px before Px its call to H is
>>>>>>>>>>> invoked.
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Only if H never aborts. If H does abort, then Px(Px), whose
>>>>>>>>>> behavior exactly matches the CORRECT emulation of the input to
>>>>>>>>>> H(Px,Px) BY DEFINITION shows this.
>>>>>>>>>
>>>>>>>>> The question is: Would (future tense) the complete and correct
>>>>>>>>> x86 emulation of the input to H(Px,Px) by H ever reach the "ret"
>>>>>>>>> instruction of Px.
>>>>>>>>>
>>>>>>>>> You always change this question to a different question:
>>>>>>>>>
>>>>>>>>> Does (present tense) the complete and correct x86 emulation of
>>>>>>>>> the input to H(Px,Px) by H ever reach the "ret" instruction of
>>>>>>>>> Px.
>>>>>>>>
>>>>>>>> The complete and correct x86 emulation of the input to H(Px, Px)
>>>>>>>> should be to allow Px to halt, which is what Px is defined to do:
>>>>>>>
>>>>>>> You are doing the same thing Richard is doing, getting at least one
>>>>>>> word of what I am saying incorrectly and then rebutting the
>>>>>>> incorrect paraphrase. This is the strawman error.
>>>>>>>
>>>>>>> The complete and correct x86 emulation of the input to H(Px, Px)
>>>>>>> BY H
>>>>>>> BY H
>>>>>>> BY H
>>>>>>> BY H
>>>>>>> BY H
>>>>>>>
>>>>>>> cannot possibly contradict the easily verified fact that Px would
>>>>>>> never reach its "ret" instruction. This seems to be beyond your
>>>>>>> ordinary software engineering technical competence.
>>>>>> Px is defined to always halt; your H gets the answer wrong saying Px
>>>>>> doesn't halt. QED.
>>>>>>
>>>>>> /Flibble
>>>>>
>>>>> Every technically competent software engineer can easily confirm that
>>>>> the correct and complete x86 emulation of the input to H(Px,Px) by H
>>>>> would never reach the "ret" instruction of Px.
>>>>>
>>>>> That you can not understand this proves that you are not a
>>>>> sufficiently technically competent software engineer on this point.
>>>>> Very good COBOL programmers might never be able to understand this.
>>>>>
>>>>> To anyone that writes or maintains operating systems what I am
>>>>> claiming would be as easy to verify as first grade arithmetic.
>>>> 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
>>>>
>>>>
>>>
>>> Get an operating system programmer to explain to you that the correct
>>> and complete x86 emulation of the input to H(Px,Px) by H would never
>>> reach the "ret" instruction of Px. *This is totally over your head*
>>>
>>> It is like I am saying that we know that black carts are cats and you
>>> disagree saying the a black cat might be some kind of dog.
>>>
>>> My whole system is now wrapped in 131K zip file as a Visual Studio
>>> project on a downloadable link.
>>>
>>
>> No, maybe you need an actual programmer to look at your logic.
>>
>> First, by definition correct emulation of a program will match the
>> behavior of the program.
>>
>
> When you disagree with this precisely stated verified fact you are
> either a liar or incompetent:
>
> the correct and complete x86 emulation of the input to H(Px,Px) by H
> would never reach the "ret" instruction

When did you verify this statment for an H that returns 0?

You only show your logic that if H doesn't abort its emulation, the
result is non-halting. With that condition, H can't return a 0, so your
logic becomes unsound.

Yes, if H is constructed to not abort is simulation of the input to
H(Px,Px), the H WOULD HAVE BEEN (as a hypothetical conditional, not
future tense) correct to return a 0, but only because it in fact didn't.

Better stated, the correct answer for that case is 0, but H doesn't give
it, so is incorret.

IF H DOES return 0, then that answer is incorrect, because such an H
doesn't do a correct and complete emulation, so we can't use your broken
definition, but need to fall back to the original where we actually DO a
correct and complete emulation, and we see that this will Halt, thus the
0 answer is WRONG>

>
> When you disagree the the above precisely stated verified fact by
> changing its words and showing that the changed words are not true then
> between liar and incompetent you prove to be a liar.
>
>

WHAT verified facts? You don't even remember what you actually proved so
you don't use the facts correctly and thus fill your rhetorica;
"arguments" with unsound logic.

SubjectRepliesAuthor
o Halting Problem proof refutation is a tautology thus irrefutable

By: olcott on Sun, 19 Jun 2022

76olcott
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