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From: immibis <news@immibis.com>
Newsgroups: comp.theory
Subject: Re: D correctly simulated by H cannot possibly halt --- templates and
 infinite sets
Date: Sat, 1 Jun 2024 23:36:31 +0200
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On 1/06/24 21:55, olcott wrote:
> On 6/1/2024 1:56 PM, joes wrote:
>> I misunderstood this, too, but we want a single machine that solves the
>> problem on its own, not multiple that each solve parts. There could be
>> many such machines.
>>
> 
> ∃H ∈ Turing_Machines
> is fulfilled when there are one or more machines that independently
> solve the halting problem.
> 
> ∃!H  ∈ Turing_Machines
> is ONLY fulfilled when there is exactly one machine that solves the 
> halting problem.
> 
> I knew what Linz meant from all the other proofs that I read.
> 
> 

This is a rare instance of Olcott being correct.