XPost: comp.theory, comp.lang.c++, comp.lang.c   
   From: polcott333@gmail.com   
      
   When we replace the code of HHH with the code of   
   Claude AI then this HHH refutes the halting problem   
   proofs.   
      
   These systems figure out the recursive simulation   
   non-halting behavior pattern on their own and are   
   able directly see for themselves that this pattern   
   is matched.   
      
   They can see this because they can see that recursive   
   simulation is essentially mutual recursion. Then they   
   perform the execution trace on this simplified basis   
   to match this pattern. Once the pattern is matched they   
   confirm that HHH(DD)==0 is correct on that basis.   
      
   What I love about LLM systems is that they do not   
   begin with strong bias against me. It is this strong   
   bias that causes people to look for errors at a much   
   higher priority than understanding what I am saying.   
      
      
   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?   
      
      
   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   
      
      
   Gemini had to be forced into do not guess mode   
   https://g.co/gemini/share/4f44c883b348   
      
   ChatGPT 5.0 had to be forced into do not guess mode   
   https://chatgpt.com/share/68abcbd5-cee4-8011-80d7-93e8385d90d8   
      
      
   --   
   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)