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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: How the requirements that Professor Sipser agreed to are exactly met
Date: Tue, 13 May 2025 10:41:21 +0300
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On 2025-05-12 18:17:37 +0000, olcott said:

> Introduction to the Theory of Computation 3rd Edition
> by Michael Sipser (Author)
> 4.4 out of 5 stars    568 rating
> 
> https://www.amazon.com/Introduction-Theory-Computation-Michael-Sipser/dp/113318779X 
> 
> 
> int DD()
>   {
>    int Halt_Status = HHH(DD);
>    if (Halt_Status)
>      HERE: goto HERE;
>    return Halt_Status;
>   }
> 
> DD correctly simulated by any pure simulator
> named HHH cannot possibly terminate thus proving
> that this criteria has been met:
> 
> <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

This specifies two requirements:
1. H correctly simulates that part of the behaviour of D that starts
from the start of the execution and does not end before the second
requirement is satisfied.
2. H correctly determines that unsimulated part of the behaviour is
infinitely long.

The second reuirement is not satisfied when HHH analyses the above
DD.

-- 
Mikko