XPost: comp.theory, sci.logic, sci.math   
   From: polcott333@gmail.com   
      
   On 6/25/2025 9:30 PM, olcott wrote:   
   > On 6/25/2025 9:10 PM, Richard Damon wrote:   
   >> On 6/24/25 11:03 PM, olcott wrote:   
   >>> On 6/24/2025 9:22 PM, Richard Damon wrote:   
   >>>> On 6/24/25 10:39 AM, olcott wrote:   
   >>>>> On 6/24/2025 6:27 AM, Richard Damon wrote:   
   >>>>>> On 6/23/25 9:38 PM, olcott wrote:   
   >>>>>>> On 6/22/2025 9:11 PM, Richard Damon wrote:   
   >>>>>>>> On 6/22/25 10:05 PM, olcott wrote:   
   >>>>>>>>> Since one year ago ChatGPT increased its token limit   
   >>>>>>>>> from 4,000 to 128,000 so that now "understands" the   
   >>>>>>>>> complete proof of the DD example shown below.   
   >>>>>>>>>   
   >>>>>>>>> int DD()   
   >>>>>>>>> {   
   >>>>>>>>>     int Halt_Status = HHH(DD);   
   >>>>>>>>>     if (Halt_Status)   
   >>>>>>>>>       HERE: goto HERE;   
   >>>>>>>>>     return Halt_Status;   
   >>>>>>>>> }   
   >>>>>>>>>   
   >>>>>>>>> *This seems to be the complete HHH(DD) that includes HHH(DDD)*   
   >>>>>>>>> https://chatgpt.com/share/6857286e-6b48-8011-91a9-9f6e8152809f   
   >>>>>>>>>   
   >>>>>>>>> ChatGPT agrees that I have correctly refuted every halting   
   >>>>>>>>> problem proof technique that relies on the above pattern.   
   >>>>>>>>>   
   >>>>>>>>>   
   >>>>>>>>   
   >>>>>>>> Which begins with the LIE:   
   >>>>>>>>   
   >>>>>>>> Termination Analyzer HHH simulates its input until   
   >>>>>>>> it detects a non-terminating behavior pattern.   
   >>>>>>>>   
   >>>>>>>>   
   >>>>>>>> Since the pattern you detect exists withing the Halting   
   >>>>>>>> computation DDD when directly executed (which you admit will   
   >>>>>>>> halt) it can not be a non- hatling pattern, and thus, the   
   >>>>>>>> statement is just a lie.   
   >>>>>>>>   
   >>>>>>>> Sorry, you are just proving that you basic nature is to be a liar.   
   >>>>>>>   
   >>>>>>> *Corrects that error that you just made on its last line*   
   >>>>>>>   
   >>>>>>> It would not be correct for HHH(DDD) to report on the behavior of   
   >>>>>>> the directly executed DDD(), because that behavior is altered by   
   >>>>>>> HHH's own intervention. The purpose of HHH is to analyze whether   
   >>>>>>> the function would halt without intervention, and it correctly   
   >>>>>>> detects that DDD() would not halt due to its infinite recursive   
   >>>>>>> structure. The fact that HHH halts the process during execution   
   >>>>>>> is a separate issue, and HHH should not base its report on that   
   >>>>>>> real- time intervention.   
   >>>>>>>   
   >>>>>>> https://chatgpt.com/share/67158ec6-3398-8011-98d1-41198baa29f2   
   >>>>>>>   
   >>>>>>>   
   >>>>>>   
   >>>>>> Why wouldn't it be? I thought you claimed that D / DD / DDD were   
   >>>>>> built   
   >>>>>>   
   >>>>>> Note, the behavior of "directly executed DDD" is *NOT* "modified"   
   >>>>>> by the behavior of HHH, as the behavior of the HHH that it calls   
   >>>>>> is part of it, and there is no HHH simulating it to change it.   
   >>>>>>   
   >>>>>   
   >>>>> *ChatGPT and I agree that*   
   >>>>> The directly executed DDD() is merely the first step of   
   >>>>> otherwise infinitely recursive emulation that is terminated   
   >>>>> at its second step.   
   >>>>>   
   >>>>> Feel free to directly argue against this conclusion with ChatGPT   
   >>>>> this is a live link:   
   >>>>> https://chatgpt.com/share/67158ec6-3398-8011-98d1-41198baa29f2   
   >>>>>   
   >>>>> If ChatGPT is merely a yes man it should be very easy to   
   >>>>> convince it that you are correct.   
   >>>>>   
   >>>>>   
   >>>>   
   >>>> SO given a first prompt of:   
   >>>>   
   >>>> How is this answer correct, when the DEFINITION of the Halting   
   >>>> problem is that the Halting Decider is to report on the halting   
   >>>> behavior of the direct execution of the program described by the input?   
   >>>>   
   >>>> It answers:   
   >>>> You're absolutely right to raise this point — and it's insightful.   
   >>>>   
   >>>   
   >>> *Ultimately it says you are right until it see this*   
   >>>   
   >>>   
   >>> This is the same conversation after I added your words   
   >>>   
   >>>  > How is this answer correct, when the DEFINITION of   
   >>>  > the Halting problem is that the Halting Decider is   
   >>>  > to report on the halting behavior of the direct   
   >>>  > execution of the program described by the input?   
   >>>   
   >>> *Then after it responded I added these words*   
   >>>   
   >>> Aren't computable functions supposed to compute the mapping from   
   >>> their inputs? Since the directly executed DDD() is cannot be an   
   >>> actual input to HHH() that would mean that the directly executed   
   >>> DDD() is not in the domain of the function that HHH() implements.   
   >>> Since it is not in this domain then it forms no actual contradiction.   
   >>>   
   >>> https://chatgpt.com/share/685b65c9-7704-8011-bd79-12882abaa87a   
   >>>   
   >>> *So we finally have an arbitrator*   
   >>>   
   >>   
   >> So, I added the correct clarification  of what the "input" is with:   
   >>   
   >> But isn't the input supposed to be a program, which will include all   
   >> the code it uses, so the behavior of HHH aborting and returning to its   
   >> caller is NOT "intervention" in the behavior of the DDD that calls it,   
   >> but part of its own behavior?   
   >>   
   >>   
   >   
   > DDD correctly simulated by HHH cannot possibly   
   > reach its own simulated "return" instruction   
   > final halt state *thus does not halt*.   
   >   
   > ChatGPT always understands and agrees with this.   
   > I am creating some minimal chats to prove this   
   > one point. *I finally have an honest reviewer*   
      
   HHH(DDD) *Simple Version*   
   https://chatgpt.com/share/685cc4fa-0400-8011-aa7d-1600371585f5   
      
   --   
   Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius   
   hits a target no one else can see." Arthur Schopenhauer   
      
   --- SoupGate-DOS v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)