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From: olcott <polcott2@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Can any pathological input thwart a simulating abort decider?
Date: Fri, 22 Mar 2024 21:22:50 -0500
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On 3/22/2024 9:10 PM, Richard Damon wrote:
> On 3/22/24 2:41 PM, olcott wrote:
>> 01 int D(ptr x)  // ptr is pointer to int function
>> 02 {
>> 03   int Halt_Status = H(x, x);
>> 04   if (Halt_Status)
>> 05     HERE: goto HERE;
>> 06   return Halt_Status;
>> 07 }
>> 08
>> 09 void main()
>> 10 {
>> 11   H(D,D);
>> 12 }
>>
>> H is a simulating abort decider that supposed to
>> correctly determine whether or not it needs to abort
>> the simulation of any pathological inputs that are
>> attempting to thwart this abort decision.
>>
>> H must abort every simulated input that would not
>> otherwise halt to prevent its own non-termination.
>>
>> It is a self-evident verified fact that every H(D,D)
>> that decides to abort its simulated D(D) is correct
>> in doing so because this does prevent its own
>> non-termination.
>>
> 
> Except that it FAILS to meet your agreed upon definition of correctly 
> deciding to abort, and uses the INVALID logic of comparing itself to a 
> DIFFERENT machine.

On 3/20/2024 6:02 PM, Richard Damon wrote:
 > On 3/20/24 6:01 PM, olcott wrote:
 >> Every H(D,D) that doesn't abort its simulated input
 >> never stops running.
 >
 > Yep, shows that H's that don't abort the D built on
 > them won't be deciders...

Therefore Every H(D,D) that does abort its simulated input
is necessarily correct.

I take your stalling tactic to indicate that a universal abort
decider may very well exist.


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