XPost: comp.theory, sci.logic, sci.math   
   From: richard@damon-family.org   
      
   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?   
      
      
   And its responce includes:   
      
   🎯 The Final Resolution   
      
   HHH is given a complete description of DDD.   
   DDD includes a call to HHH.   
   When DDD is run, HHH is invoked and returns, then DDD returns.   
   So DDD halts.   
   Therefore, HHH must return 1 for DDD if it is to be correct.   
   So: you are absolutely correct.   
      
   🔎 The behavior of HHH returning to its caller is not external   
   intervention — it is part of the normal behavior of the program being   
   analyzed. Therefore, if the actual program (DDD) halts, HHH must return   
   1 for it to be correct under the definition of the Halting Problem.   
      
      
      
   So, it seems that the problem is that, as I explained, LLMs are not   
   based on LOGIC, but just pattern matching.   
      
   WHen you *LIE* to a LLM, then it learns errors.   
      
   In particular, you said:   
      
   No, it would not be correct for HHH(DDD) to report on the behavior of   
   the directly executed DDD() in the specific case of the real-time   
   execution, because HHH is designed to analyze a function in an abstract   
   sense, predicting what the function would do if allowed to run   
   indefinitely without intervention. It should not base its result on the   
   fact that it is itself intervening and altering the actual behavior of   
   DDD() during execution.   
      
   But that is NOT actually the problem for a halt decider, it doesn't look   
   at the program in an "abstract" sense, but the exact program that it is   
   given, which to be a program, must include all of the code that it uses.   
      
   Your problem is you don't even understand what a PROGRAM is, and just   
   keep on given ChatGPT bad information because you lie about them.   
      
   Sorry, you are just proving how stupid you are.   
      
   --- SoupGate-DOS v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)