XPost: comp.theory, comp.lang.c, comp.lang.c++   
   From: polcott333@gmail.com   
      
   *Context for what Richard Heathfield agreed to*   
      
      
   Simulating Termination Analyzer HHH correctly simulates its input until:   
   (a) Detects a non-terminating behavior pattern:   
   abort simulation and return 0.   
   (b) Simulated input reaches its simulated "return" statement:   
   return 1.   
      
   typedef int (*ptr)();   
   int HHH(ptr P);   
      
   int DD()   
   {   
      int Halt_Status = HHH(DD);   
      if (Halt_Status)   
        HERE: goto HERE;   
      return Halt_Status;   
   }   
      
   What value should HHH(DD) correctly return?   
      
      
   On 8/18/2025 6:05 PM, Richard Heathfield wrote:>   
   > It is an easily verified fact, as you love to say, that if DD calls HHH   
   > (as it does) and HHH calls DD (as, through simulation, it effectively   
   > does) that HHH(DD) can never halt naturally, so it will have to abort   
   > the recursion and report its result as 0 - didn't halt.   
   >   
   Here are three of the five LLM systems that figured   
   out this same reasoning on their own.   
      
   https://claude.ai/share/da9e56ba-f4e9-45ee-9f2c-dc5ffe10f00c   
      
   https://chatgpt.com/share/68939ee5-e2f8-8011-837d-438fe8e98b9c   
      
   https://grok.com/share/c2hhcmQtMg%3D%3D_810120bb-5ab5-4bf8-af21-eedd0f09e141   
      
      
   ChatGPT 5.0 and Gemini both had to be told DO NOT GUESS.   
   They are not included in the above three. Systems that   
   guess by default are inferior.   
      
   --   
   Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius   
   hits a target no one else can see." Arthur Schopenhauer   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)