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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Halting Problem: What Constitutes Pathological Input
Date: Tue, 6 May 2025 13:40:16 -0500
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On 5/6/2025 10:53 AM, joes wrote:
> Am Tue, 06 May 2025 10:29:59 -0500 schrieb olcott:
>> On 5/6/2025 4:35 AM, Mikko wrote:
>>> On 2025-05-05 17:37:20 +0000, olcott said:
> 
>>>> The above example is category error because it asks HHH(DD) to report
>>>> on the direct execution of DD() and the input to HHH specifies a
>>>> different sequence of steps.
>>>
>>> No, it does not. The input is DD specifides exactly the same sequence
>>> of steps as DD. HHH just answers about a different sequence of steps
>>> instead of the the seqeunce specified by its input.
> As agreed to below:
> 
>> <MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
>>       If simulating halt decider H correctly simulates its input D until
>>       H correctly determines that its simulated D *would never stop
>>       running unless aborted* then
>>
>> *input D* is the actual input *would never stop running unless aborted*
>> is the hypothetical H/D pair where H does not abort.

> H should simulate its actual input D that calls the aborting H, not a
> hypothetical version of D that calls a pure simulator.
> 

*would never stop running unless aborted*
refers to the same HHH that DD calls yet
this hypothetical HHH does not abort.

>> You cannot possibly show the exact execution trace where DD is correctly
>> emulated by HHH and this emulated DD reaches past its own machine
>> address [0000213c].

> Duh, no simulator can simulate itself correctly. But HHH1 can simulate
> DD/HHH.
> 

HHH does simulate itself correctly yet must create
a separate process context for each recursive emulation.
Each process context has its own stack and set of
virtual registers.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer