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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: How the requirements that Professor Sipser agreed to are exactly
 met
Date: Tue, 13 May 2025 00:22:15 -0500
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On 5/13/2025 12:11 AM, Richard Heathfield wrote:
> On 13/05/2025 03:01, olcott wrote:
>> If the Goldbach conjecture is true (and there is
>> no short-cut)
> 
> We don't know that. Fermat's Last Theorem had a short cut, but it took 
> 358 years to find it. At that rate, we won't find Goldbach's short cut 
> (if it has one) for another 75 years.
> 
>> this requires testing against every
>> element of the set of natural numbers an infinite
>> computation.
> 
> Only if it's true. So if it's true, the testing program will never halt. 
> But if it's false, the tester will eventually find the counter-example, 
> print it, and stop.
> 
> So a program that can tell whether another program will halt can tell us 
> whether Goldbach's conjecture is true.
> 
> It would be the short cut that you say doesn't exist.
> 

I am refuting the key halting problem, proof
I am not refuting the halting problem.

As soon as it is understood that I am correct
that HHH(DD) computes the mapping from its
input to recursive emulation. Then in a few small
steps it will be know that I refuted the conventional
Halting Problem proofs.

-- 
Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer