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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: DD specifies non-terminating behavior to HHH --- RECURSIVE CHAIN
 --- Saving Democracy
Date: Mon, 24 Feb 2025 20:26:27 -0500
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On 2/24/2025 8:12 PM, olcott wrote:
> On 2/24/2025 6:06 PM, dbush wrote:
>> On 2/24/2025 6:16 PM, olcott wrote:
>>> On 2/24/2025 3:47 PM, dbush wrote:
>>>> On 2/24/2025 4:26 PM, olcott wrote:
> 
> 
>>>
>>> HHH that aborts its simulation and a purely
>>> hypothetical (imaginary never implemented)
>>> HHH that never aborts its simulation.
>>>
>>
>>
>> Same thing.  F aborts its (admittedly poor) simulation by breaking out 
>> of a recursive chain, and a hypothetical F that performs a correct 
>> unaborted simulation.
> 
> The simple fact that the hypothetical HHH would never
> terminate conclusively proves that DD specifies behavior
> that cannot possibly terminate normally.

And the simple fact that the hypothetical F would never terminate 
conclusively proves that no_numbers_greater_than_10 specifies behavior 
that cannot possibly terminate normally.

Agreed?