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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Two dozen people were simply wrong --- Try to prove otherwise ---
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Date: Sat, 1 Jun 2024 11:13:10 -0500
Organization: A noiseless patient Spider
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On 6/1/2024 10:56 AM, Richard Damon wrote:
> On 6/1/24 11:30 AM, olcott wrote:
>>
>> *I will not discuss any other points with you until after you either*
>> (a) Acknowledge that DD correctly simulated by HH and ⟨Ĥ⟩ ⟨Ĥ⟩ correctly
>>      simulated by embedded_H remain stuck in recursive simulation for
>>      1 to ∞ of correct simulation or
>>
>> (b) Correctly prove otherwise.
> 
> And until you answer the question of what that actually means, I will 
> reply WHO CARES.
> 

typedef int (*ptr)();  // ptr is pointer to int function in C
00       int HH(ptr p, ptr i);
01       int DD(ptr p)
02       {
03         int Halt_Status = HH(p, p);
04         if (Halt_Status)
05           HERE: goto HERE;
06         return Halt_Status;
07       }
08
09       int main()
10       {
11         HH(DD,DD);
12         return 0;
13       }

Every DD correctly simulated by any HH of the infinite set of HH/DD
pairs that match the above template never reaches past its own simulated
line 03 in 1 to ∞ steps of correct simulation of DD by HH.

In this case HH is either a pure simulator that never halts or
HH is a pure function that stops simulating after some finite number
of simulated lines. The line count is stored in a local variable.
The pure function HH always returns the meaningless value of 56
after it stops simulating.

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