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NNTP-Posting-Date: Sun, 27 Apr 2025 03:38:37 +0000
Subject: Re: Turing Machine computable functions apply finite string
transformations to inputs
Newsgroups: comp.theory
References: <vu6lnf$39fls$2@dont-email.me> <vua9oi$2lub6$1@dont-email.me>
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<XpecnXs9MtzKApD1nZ2dnZfqnPudnZ2d@brightview.co.uk>
From: Mike Terry <news.dead.person.stones@darjeeling.plus.com>
Date: Sun, 27 Apr 2025 04:38:24 +0100
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On 27/04/2025 04:07, Mike Terry wrote:
> On 27/04/2025 01:22, olcott wrote:
>> On 4/26/2025 5:31 PM, dbush wrote:
>>> On 4/26/2025 6:28 PM, olcott wrote:
>>>> On 4/26/2025 5:11 PM, dbush wrote:
>>>>> On 4/26/2025 6:09 PM, olcott wrote:
>>>>>> On 4/26/2025 4:04 PM, Richard Damon wrote:
>>>>>>> On 4/26/25 4:33 PM, olcott wrote:
>>>>>>>> On 4/26/2025 1:26 PM, Fred. Zwarts wrote:
>>>>>>>>> Op 26.apr.2025 om 19:29 schreef olcott:
>>>>>>>>>> On 4/26/2025 12:16 PM, joes wrote:
>>>>>>>>>>> Am Sat, 26 Apr 2025 11:22:42 -0500 schrieb olcott:
>>>>>>>>>>>> On 4/25/2025 5:09 PM, joes wrote:
>>>>>>>>>>>>> Am Fri, 25 Apr 2025 16:46:11 -0500 schrieb olcott:
>>>>>>>>>>>>>> On 4/25/2025 11:54 AM, Richard Damon wrote:
>>>>>>>>>>>>>>> On 4/25/25 12:31 PM, olcott wrote:
>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Once we understand that Turing computable functions are only allowed
>>>>>>>>>>>>>>>> to derived their outputs by applying finite string operations to
>>>>>>>>>>>>>>>> their inputs then my claim about the behavior of DD that HHH must
>>>>>>>>>>>>>>>> report on is completely proven.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Youy have your words wrong. They are only ABLE to use finite
>>>>>>>>>>>>>>> algorithms of finite string operations. The problem they need to
>>>>>>>>>>>>>>> solve do not need to be based on that, but on just general mappings
>>>>>>>>>>>>>>> of finite strings to finite strings that might not be described by a
>>>>>>>>>>>>>>> finite algorithm.
>>>>>>>>>>>>>>> The mapping is computable, *IF* we can find a finite algorith of
>>>>>>>>>>>>>>> transformation steps to make that mapping.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>> There are no finite string operations that can be applied to the input
>>>>>>>>>>>>>> to HHH(DD) that derive the behavior of of the directly executed DD
>>>>>>>>>>>>>> thus DD is forbidden from reporting on this behavior.
>>>>>>>>>>>>
>>>>>>>>>>>>> Yes, there are, the operations that the processor executes. How did you
>>>>>>>>>>>>> think it works?
>>>>>>>>>>>>>
>>>>>>>>>>>> When you try to actually show the actual steps instead of being stuck in
>>>>>>>>>>>> utterly baseless rebuttal mode YOU FAIL!
>>>>>>>>>>> Which x86 semantics does a processor violate when deriving a halting
>>>>>>>>>>> state from the string description of DD?
>>>>>>>>>>>
>>>>>>>>>>>> When any HHH emulates DD according to the finite string transformation
>>>>>>>>>>>> rules specified by the x86 language (the line of demarcation between
>>>>>>>>>>>> correct and incorrect emulation) no emulated DD can possibly reach its
>>>>>>>>>>>> final halt state and halt.
>>>>>>>>>>> Yes, where is that line?
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Everyone claims that HHH violates the rules
>>>>>>>>>> of the x86 language yet no one can point out
>>>>>>>>>> which rules are violated because they already
>>>>>>>>>> know that HHH does not violate any rules and
>>>>>>>>>> they are only playing trollish head games.
>>>>>>>>>>
>>>>>>>>>> _DD()
>>>>>>>>>> [00002133] 55 push ebp ; housekeeping
>>>>>>>>>> [00002134] 8bec mov ebp,esp ; housekeeping
>>>>>>>>>> [00002136] 51 push ecx ; make space for local
>>>>>>>>>> [00002137] 6833210000 push 00002133 ; push DD
>>>>>>>>>> [0000213c] e882f4ffff call 000015c3 ; call HHH(DD)
>>>>>>>>>> [00002141] 83c404 add esp,+04
>>>>>>>>>> [00002144] 8945fc mov [ebp-04],eax
>>>>>>>>>> [00002147] 837dfc00 cmp dword [ebp-04],+00
>>>>>>>>>> [0000214b] 7402 jz 0000214f
>>>>>>>>>> [0000214d] ebfe jmp 0000214d
>>>>>>>>>> [0000214f] 8b45fc mov eax,[ebp-04]
>>>>>>>>>> [00002152] 8be5 mov esp,ebp
>>>>>>>>>> [00002154] 5d pop ebp
>>>>>>>>>> [00002155] c3 ret
>>>>>>>>>> Size in bytes:(0035) [00002155]
>>>>>>>>>>
>>>>>>>>>> DD emulated by HHH according to the finite
>>>>>>>>>> string transformation rules of the x86 language
>>>>>>>>>> does emulate [00002133] through [0000213c] which
>>>>>>>>>> causes HHH to emulate itself emulating DD again
>>>>>>>>>> in recursive emulation repeating the cycle of
>>>>>>>>>> [00002133] through [0000213c].
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Finite recursion,
>>>>>>>>
>>>>>>>> Mathematical induction proves that DD emulated by
>>>>>>>> any HHH that applies finite string transformation
>>>>>>>> rules specified by the x86 language to its input
>>>>>>>> no DD can possibly reach its final halt state.
>>>>>>>
>>>>>>> No, it doesn't, as you can't have an infinte series of a function that has been defined to be
>>>>>>> a specific instance.
>>>>>>>
>>>>>>
>>>>>> One recursive emulation of HHH emulating itself emulating
>>>>>> DD after DD has already been emulated by DD once conclusively
>>>>>> proves that
>>>>>>
>>>>>> simulated DD would never stop running unless aborted
>>>>>>
>>>>>> <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>>>>> If simulating halt decider H correctly simulates its input D
>>>>>> until H correctly determines that its *simulated D would never*
>>>>>> *stop running unless aborted* then
>>>>>>
>>>>>> H can abort its simulation of D and correctly report that D
>>>>>> specifies a non-halting sequence of configurations.
>>>>>> </MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>>>>>
>>>>>
>>>>> And again you lie by implying that Sipser agrees with you when it has been proven that he doesn't:
>>>>>
>>>>>
>>>>> On Monday, March 6, 2023 at 2:41:27 PM UTC-5, Ben Bacarisse wrote:
>>>>> > I exchanged emails with him about this. He does not agree with anything
>>>>> > substantive that PO has written. I won't quote him, as I don't have
>>>>> > permission, but he was, let's say... forthright, in his reply to me.
>>>>>
>>>>
>>>> That professor Sipser did not have the time to
>>>> understand the significance of what he agreed to
>>>> does not entail that he did not agree with my
>>>> meanings of what he agreed to.
>>>>
>>>> Professor Sipser did not even have the time to
>>>> understand the notion of recursive emulation.
>>>> Without this it is impossible to see the significance
>>>> of my work.
>>>
>>> In other words, he did not you agree what you think he agreed to, and your posting the above to
>>> imply that he did is a form of lying.
>>>
>>
>> *He agreed to MY meaning of these words*
>
> He most certainly did not! He presumably agreed to what he /thought/ you meant by the words.
>
> Since there is a natural interpretation of those words which would be correct, and relevant to a
> discussion concerning a simulating HD, my GUESS would be that he thought that was what you were
> saying: basically, the D in the quote below is clearly intended to represent *one* *specific* input
> whose halt status is being determined, namely the input D.
>
> There is talk of "would never stop running if not aborted", which is saying that if H were replaced
> by a UTM (which never aborts its input) THEN UTM(D) WOULD RUN FOREVER. That amounts to the same
> thing as saying that H has determined [through examination of its simulation steps] that D does not
> halt [when run directly/natively]. Of course if H has determined that D does not halt, there's no
> point in simulating further, and H can just decide "non-halting" straight away.
>
> NOTE: I said UTM( *D* ), not UTM(UTM) or UTM(D2) where D2 is some modified version of D that
> reflects changes to the embedded copy of modified H internal to D. The role of D in all this is
> /data/ viz the string representing the particular D being discussed. The role of H is /code/, H
> being the halt decider deciding the input D. D does not change when applying the "simulated D would
> never stop unless aborted", or imagining whatever hypothetical changes to H you are thinking of -
> only code of H is being (hypothetically) changed.
I suppose I should have made this clear, as you get confused by this point - The TM description D
which is not changing, includes the [TM description of the] embedded copy of [original] H. I.e. H
without any of your hypothetical imagined changes.
Much better still, stop imagining hypothetical changes to things and phrase things by introducing
new objects with new names when required, so that a given name always means the same thing....
For example: rather than saying "DDD emulated by HHH cannot return whatever number of steps HHH
simulates from 1 to oo" or whatever, say:
"suppose HHH_n is a SHD which simulates its corresponding input DDD_n for
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