XPost: comp.theory, sci.logic, sci.math   
   From: polcott333@gmail.com   
      
   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*   
      
   --   
   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)