XPost: comp.theory   
   From: rjh@cpax.org.uk   
      
   On 20/11/2025 20:53, Mike Terry wrote:   
      
      
      
   > I think you're just saying that HP cannot be solved by having two   
   > deciders e.g. my H0/H1, such that given any input M, one of H0/H1   
   > decides M correctly.  That's true, as the HP asks for /one/ TM   
   > decider, not two, and crucially we don't have a way to combine   
   > H0/H1 into a single decider that satisfies HP.   
      
      
      
   Let's say we did.   
      
   It would necessarily have its own diagonal case, which it   
   couldn't solve.   
      
   The End.   
      
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   Richard Heathfield   
   Email: rjh at cpax dot org dot uk   
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