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From: dbush <dbush.mobile@gmail.com>
Newsgroups: comp.theory
Subject: Re: DDD specifies recursive emulation to HHH and halting to HHH1
Date: Sat, 29 Mar 2025 15:06:56 -0400
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On 3/29/2025 3:03 PM, olcott wrote:
> On 3/29/2025 10:23 AM, dbush wrote:
>> On 3/29/2025 11:12 AM, olcott wrote:
>>> On 3/28/2025 11:00 PM, dbush wrote:
>>>> On 3/28/2025 11:45 PM, olcott wrote:
>>>>>
>>>>> It defines that it must compute the mapping from
>>>>> the direct execution of a Turing Machine
>>>>
>>>> Which does not require tracing an actual running TM, only mapping 
>>>> properties of the TM described. 
>>>
>>> The key fact that you continue to dishonestly ignore
>>> is the concrete counter-example that I provided that
>>> conclusively proves that the finite string of machine
>>> code input is not always a valid proxy for the behavior
>>> of the underlying virtual machine.
>>
>> In other words, you deny the concept of a UTM, which can take a 
>> description of any Turing machine and exactly reproduce the behavior 
>> of the direct execution.
> 
> I deny that a pathological relationship between a UTM and
> its input can be correctly ignored.
> 

In such a case, the UTM will not halt, and neither will the input when 
executed directly.