XPost: comp.theory, comp.lang.c++, comp.lang.c   
   From: polcott333@gmail.com   
      
   When we disable the abort code so that HHH(DD) is a   
   pure function of its inputs DD() never stops running.   
      
   Because this change has no effect on the sequence of   
   steps of DD correctly simulated by HHH it has no   
   consequence and can be generalized to every HHH/DD pair.   
      
   *Best selling author of theory of computation textbooks*   
      
        If simulating halt decider H correctly simulates its   
        input D until H correctly determines that its simulated D   
        would never stop running unless aborted then   
      
        H can abort its simulation of D and correctly report that D   
        specifies a non-halting sequence of configurations.   
      
      
      
   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?   
      
      
   Five different LLM systems formed a consensus on   
   the basis of the verified fact that DD correctly   
   simulated by HHH cannot possibly reach its own   
   "return" statement final halt state in any finite   
   number of steps.   
      
   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   
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