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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: DDD specifies recursive emulation to HHH and halting to HHH1
Date: Sat, 29 Mar 2025 15:01:17 -0500
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On 3/29/2025 2:26 PM, dbush wrote:
> On 3/29/2025 3:22 PM, olcott wrote:
>> On 3/29/2025 2:06 PM, dbush wrote:
>>> 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.
>>
>> It is not impossible to adapt a UTM such that it
>> correctly simulates a finite number of steps of an
>> input.
>>
> 
> 1) then you no longer have a UTM, so statements about a UTM don't apply

We can know that when this adapted UTM simulates a
finite number of steps of its input that this finite
number of steps were simulated correctly.

> 2) changing the input is not allowed

The input is unchanged. There never was any
indication that the input was in any way changed.


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