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Re: Decidability Decider H

From olcott <polcott2@gmail.com>
Newsgroups comp.theory, sci.logic, comp.ai.philosophy
Subject Re: Decidability Decider H
Date 2023-07-03 15:22 -0500
Organization A noiseless patient Spider
Message-ID <u7van2$3ppvb$1@dont-email.me> (permalink)
References (13 earlier) <QECoM.21249$Bq67.11078@fx13.iad> <u7v25c$3opqe$1@dont-email.me> <goEoM.152$_2s1.40@fx44.iad> <u7v557$3p4d9$1@dont-email.me> <KLFoM.17237$W7d4.13308@fx18.iad>

Cross-posted to 3 groups.

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On 7/3/2023 2:58 PM, Richard Damon wrote:
> On 7/3/23 2:48 PM, olcott wrote:
>> On 7/3/2023 1:25 PM, Richard Damon wrote:
>>> On 7/3/23 1:57 PM, olcott wrote:
>>>> On 7/3/2023 11:26 AM, Richard Damon wrote:
>>>>> On 7/3/23 12:11 PM, olcott wrote:
>>>>>> On 7/3/2023 11:01 AM, Richard Damon wrote:
>>>>>>> On 7/3/23 11:56 AM, olcott wrote:
>>>>>>>> On 7/3/2023 10:35 AM, Richard Damon wrote:
>>>>>>>>> On 7/3/23 10:45 AM, olcott wrote:
>>>>>>>>>> On 7/3/2023 9:24 AM, Richard Damon wrote:
>>>>>>>>>>> On 7/3/23 9:47 AM, olcott wrote:
>>>>>>>>>>>> On 7/3/2023 8:14 AM, Richard Damon wrote:
>>>>>>>>>>>>> On 7/2/23 10:48 PM, olcott wrote:
>>>>>>>>>>>>>> On 7/2/2023 9:41 PM, Richard Damon wrote:
>>>>>>>>>>>>>>> On 7/2/23 10:01 PM, olcott wrote:
>>>>>>>>>>>>>>>> On 7/2/2023 8:40 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>> On 7/2/23 8:45 PM, olcott wrote:
>>>>>>>>>>>>>>>>>> A single H can consistently correctly determine 
>>>>>>>>>>>>>>>>>> whether or not its input
>>>>>>>>>>>>>>>>>> is pathological relative to itself. When H(D,D) is 
>>>>>>>>>>>>>>>>>> invoked in
>>>>>>>>>>>>>>>>>> decidability decider mode determines that D is 
>>>>>>>>>>>>>>>>>> pathological relative to
>>>>>>>>>>>>>>>>>> itself this enables a batch file to invoke H1(D,D) to 
>>>>>>>>>>>>>>>>>> get the actual
>>>>>>>>>>>>>>>>>> behavior of the directly executed D(D). H1 is 
>>>>>>>>>>>>>>>>>> identical to H except for
>>>>>>>>>>>>>>>>>> the pathological relationship to H.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> And does an input D that uses this FULL algorithm give 
>>>>>>>>>>>>>>>>> your algorithm problems?
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> Since H(D,D) will (apparently) determine that the input 
>>>>>>>>>>>>>>>>> is pathological, and thus defer to H1(D,D), then when 
>>>>>>>>>>>>>>>>> we actually run D, appearently it will get that same 
>>>>>>>>>>>>>>>>> answer from H1 and do the opposite of it, and thus H1 
>>>>>>>>>>>>>>>>> will be wrong.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> Remember, the "Pathological" program is built on a copy 
>>>>>>>>>>>>>>>>> of the ACTUAL program that you ask to decide on it, 
>>>>>>>>>>>>>>>>> including ALL of its "tricks", including things like 
>>>>>>>>>>>>>>>>> this "batch processing".
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> You seem to be assuming that there is some "Operationg 
>>>>>>>>>>>>>>>>> System" outside the Decider - Input structure, but 
>>>>>>>>>>>>>>>>> there isn't, at least not one that can affect the 
>>>>>>>>>>>>>>>>> answer of the problem.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> I spent 12 hours a day for the last 10 days getting the 
>>>>>>>>>>>>>>>> copy the input
>>>>>>>>>>>>>>>> working. When H(D,D) (in decidability decider mode) 
>>>>>>>>>>>>>>>> detects that its
>>>>>>>>>>>>>>>> input is in the well defined set of pathological inputs 
>>>>>>>>>>>>>>>> it returns 0
>>>>>>>>>>>>>>>> indicating that its input is undecidable. The batch file 
>>>>>>>>>>>>>>>> that invoked H
>>>>>>>>>>>>>>>> then knows to invoke H1(D,D) to correctly report that 
>>>>>>>>>>>>>>>> D(D) halts.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> This solution does seem to work correctly on every 
>>>>>>>>>>>>>>>> conventional proof in
>>>>>>>>>>>>>>>> every textbook.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> So, did you make your "conventional proof" template 
>>>>>>>>>>>>>>> actually use a copy of your ACTUAL decider (which seems 
>>>>>>>>>>>>>>> to be your "batch file" not the C funciton H), or are you 
>>>>>>>>>>>>>>> just admitting that you wasted 120 hours looking at the 
>>>>>>>>>>>>>>> wrong thing because you have made yourself intentionally 
>>>>>>>>>>>>>>> ignorant of the subject so you don't understand what you 
>>>>>>>>>>>>>>> are trying to do.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> New_D copies its input and simulates its input with its 
>>>>>>>>>>>>>> input.
>>>>>>>>>>>>>> It never sees New_H.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Why not? Since New_H is the thing that is considered the 
>>>>>>>>>>>>> "Correct Halt Decider", New_D needs to be built on it.
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> New_H is embedded within New_D (as its middle states) just the
>>>>>>>>>>>> way it is supposed to be. The question is: Does New_H(New_H) 
>>>>>>>>>>>> halt?
>>>>>>>>>>>>
>>>>>>>>>>>> The only difference at the source code level is:
>>>>>>>>>>>> (a) New_H copies its input, thus takes one param.
>>>>>>>>>>>> (b) New_H has an infinite loop at its accept state.
>>>>>>>>>>>
>>>>>>>>>>> So, how is New_H a halt decider then?
>>>>>>>>>>
>>>>>>>>>> typo
>>>>>>>>>> The only difference at the source code level is:
>>>>>>>>>> (a) New_D copies its input, thus takes one param.
>>>>>>>>>> (b) New_D has an infinite loop at its accept state.
>>>>>>>>>> Other than that (at the source-code level) New_D is exactly New_H
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> But New_D needs to call New_H, 
>>>>>>>>
>>>>>>>> Not in the Peter Linz proof:
>>>>>>>> https://www.liarparadox.org/Linz_Proof.pdf
>>>>>>>>
>>>>>>>> In the Linz proof a copy of H is directly embedded
>>>>>>>> within Ĥ at this state: Ĥq0 Wm Wm
>>>>>>>> The original H remains unchanged.
>>>>>>>>
>>>>>>>> The halting problem is about undecidable inputs, it is not about
>>>>>>>> inserting bugs into a halt decider to make it cease to function.
>>>>>>>>
>>>>>>>>
>>>>>>>
>>>>>>> Right, and in Linz, H is the decider that is claimed to give the 
>>>>>>> right answer.
>>>>>>>
>>>>>>> That isn't 'H' in your system, but the script that decides 
>>>>>>> whether to use H or H1.
>>>>>>>
>>>>>>> Your error is in calling the wrong thing 'H'
>>>>>>>
>>>>>>> You are just showing you are lying by using the wrong name for 
>>>>>>> things.
>>>>>>
>>>>>> You are using double-talk in a lame attempt to show that
>>>>>> Linz H cannot correctly determine the halt status of Linz Ĥ.
>>>>>>
>>>>>
>>>>> So you agree with the Theorem.
>>>>>
>>>>> No 'Linz H' can exist that correctly decides the halt status of 
>>>>> Linz Ĥ applied to the description of Linz Ĥ.
>>>>>
>>>>> That is EXACTLY the consequence of the Halting Theorem.
>>>>>
>>>>>
>>>>> Please show an ACTUAL 'Linz H' that correctly gets the results of 
>>>>> the 'Linz Ĥ' built on it. You keep on changing H and trying to use 
>>>>> the old Ĥ which just fails to meet the requirement of the proof, 
>>>>> likely because you just don't understand the theory involved.
>>>>
>>>> It took me two years to figure out a clean way to copy the input to
>>>> Linz_H_Hat and not have the system crash. Relative to Linz_H_Hat
>>>> Linz_H is H1. Now Linz_H_Hat only contradicts itself.
>>>>
>>>
>>> So, you are admitting that you actually can't do what is required?
>>>
>>> Copying the input should be trivial,
>>
>> The relative addressing of the x86 language causes all function
>> calls to call the wrong address.
> 
> Only because you aren't interpreting the input properly, but in a 
> non-Turing Complete manner.
> 
> As I said, the input description should be a chunck of code in a virtual 
> address space with a header that tells where that code is supposed to be 
> considered to be located at.
> 
>>
>>> as the input should be a representation that packages a full program 
>>> in its own virtual environment, so a simple bit by bit copy to empty 
>>> ram will work. Your problem is that you don't put the input into its 
>>> own virtual address space, so you have pathological interactions.
>>>
>>> Linz_H_Hat must be built on the exact code base that is deciding on 
>>> it, in this case H, since you just said it isn't, your proof is invalid.
>>>
>>
>> Linz_Hat <is> Linz_H that takes one param  and copies it instead of
>> two params and has an infinite loop at its accept state.
> 
> So, Two things that are different are exactly the same?
> 

It exactly matches the Linz spec.

> You don't seem to understand what you are doing.
> 
> Linz_H_Hat (not Linz_Hat) is a Turing Machine with a defined behavior. 
> That behavior is a function of its input, but hasn't been assigned any 
> "meaning".
> 
> Linz_H is a Turing Machine (if it actually can exist) that has a defined 
> meaning/requirement for its final states. Linz_H, to meet its 
> requirements, MUST go to Qy if the input represents a Halting 
> Computation, and MUST go to Qn if the input represents a non-halting 
> computation.
> 
> Since Linz_H has actual requirements, a claimed implementation of it can 
> be checked to see if it actually meets the requirements, and perhaps we 
> can determine if it is possible to meet them.
> 
>>
>>> Note, Linz_H_Hat CAN'T "Contradict" itself, as doesn't generate any 
>>> truth values, only behavior. You are just showing that you don't 
>>> understand the basics of the requirements, and seem to think that 
>>> "close" is good enough for proofs.
>>
>> Linz_H_Hat(Linz_H_Hat) returns 0.
>>
> > Actually no. Linz_H_Hat(Linz_H_Hat) halts at state Qn, which has NO
> defined meaning for Linz_H_Hat as it isn't defined to be a decider.

Linz_H and Linz_H_Hat are C functions.
Linz:H and Linz:Ĥ are Turing machines.

Linz_H and Linz:H are both directly embedded within a copy of
Linz_H_Hat and Linz:Ĥ thus a return value of 0 or a transition
to Ĥ.qn still means not halting.

This allows Linz_H and Linz:H correctly report on the actual
behavior of their input.


-- 
Copyright 2023 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer

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Thread

Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 19:45 -0500
  Re: Decidability Decider H Python <python@invalid.org> - 2023-07-03 03:11 +0200
  Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 21:27 -0400
  Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 21:40 -0400
    Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 21:01 -0500
      Re: Decidability Decider H Python <python@invalid.org> - 2023-07-03 04:05 +0200
      Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 22:37 -0400
        Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 22:10 -0500
          Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 22:54 -0500
            Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:14 -0400
              Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:10 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:41 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:09 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:00 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:49 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:03 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
          Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:13 -0400
            Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 09:42 -0500
              Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:44 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:05 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:03 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:56 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:08 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:30 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:34 -0400
                Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 16:40 -0500
                Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
                Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 20:51 -0500
                Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
                Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 22:47 -0500
                Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-04 00:06 -0400
                Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-03 23:35 -0500
                Re: Decidability Decider H [key Rice issue] Richard Damon <news.x.richarddamon@xoxy.net> - 2023-07-04 09:27 -0400
                Re: Decidability Decider H [key Rice issue] olcott <polcott2@gmail.com> - 2023-07-04 16:32 -0500
                Re: Decidability Decider H [key Rice issue] Richard Damon <Richard@Damon-Family.org> - 2023-07-04 19:00 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:45 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:07 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:19 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:31 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:36 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 21:28 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:58 -0400
      Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-02 22:41 -0400
        Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-02 21:48 -0500
          Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 09:14 -0400
            Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 08:47 -0500
              Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 10:24 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 09:45 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 11:35 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 10:56 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:01 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 11:11 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 12:26 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 12:57 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 14:25 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 13:48 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 15:58 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 15:22 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:17 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 16:34 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 17:55 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 21:20 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-03 23:22 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 22:56 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-04 00:06 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-03 23:57 -0500
                Re: Decidability Decider H Richard Damon <news.x.richarddamon@xoxy.net> - 2023-07-04 09:27 -0400
                Re: Decidability Decider H olcott <polcott2@gmail.com> - 2023-07-04 16:52 -0500
                Re: Decidability Decider H Richard Damon <Richard@Damon-Family.org> - 2023-07-04 19:00 -0400

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