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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Every D(D) simulated by H presents non-halting behavior to H ###
Date: Thu, 30 May 2024 08:40:00 -0500
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On 5/30/2024 5:10 AM, Fred. Zwarts wrote:
> Op 28.mei.2024 om 17:13 schreef olcott:
>> On 5/28/2024 4:21 AM, Fred. Zwarts wrote:
>>> Op 27.mei.2024 om 17:43 schreef olcott:
>>>> On 5/27/2024 9:58 AM, Richard Damon wrote:
>>>>> On 5/27/24 10:39 AM, olcott wrote:
>>>>
>>>> typedef int (*ptr)();  // ptr is pointer to int function in C
>>>> 00       int H(ptr p, ptr i);
>>>> 01       int D(ptr p)
>>>> 02       {
>>>> 03         int Halt_Status = H(p, p);
>>>> 04         if (Halt_Status)
>>>> 05           HERE: goto HERE;
>>>> 06         return Halt_Status;
>>>> 07       }
>>>> 08
>>>> 09       int main()
>>>> 10       {
>>>> 11         H(D,D);
>>>> 12         return 0;
>>>> 13       }
>>>>
>>>> The above template refers to an infinite set of H/D pairs where D is
>>>> correctly simulated by either pure simulator H or pure function H. This
>>>> was done because many reviewers used the shell game ploy to endlessly
>>>> switch which H/D pair was being referred to.
>>>>
>>>> Correct Simulation Defined
>>>>     This is provided because many reviewers had a different notion of
>>>>     correct simulation that diverges from this notion.
>>>>
>>>>     A simulator is an x86 emulator that correctly emulates 1 to N of 
>>>> the
>>>>     x86 instructions of D in the order specified by the x86 
>>>> instructions
>>>>     of D. This may include M recursive emulations of H emulating itself
>>>>     emulating D.
>>>>
>>>> When we see that D correctly simulated by pure simulator H would remain
>>>> stuck in infinite recursive simulation then we also know that less than
>>>> an infinite number of steps is not enough steps for D correctly
>>>> simulated by pure function H to reach its own simulated final state at
>>>> line 06 and halt.
>>>>
>>>
>>> We can equally well replace D with H.
>>
>> Only if we want to use the DISHONEST DODGE STRAW-MAN DECEPTION
>> CHANGE-THE-SUBJECT FAKE REBUTTAL.
>>
>> My use of the point-by-pint basis of the Socratic method tosses
>> such attempts out as Trolling.
> 
> You do not even understand your own subject. I am just showing that your 
> H does not halt, according to its own judgement. So, your simulating H 
> is not in agreement with the requirement that it should halt. If the 
> simulation of H would halt (as is the requirement), then D would reach 
> line 04. The only reason D, the parameter duplicator, does not reach 
> line 04 is that H does not halt.
> 

This is incorrect. Only the directly executed outermost H must halt.
Everything else is merely data to this directly executed H.

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

The above template refers to an infinite set of H/D pairs where D is
correctly simulated by either pure simulator H or pure function H.  This
was done because many reviewers used the shell game ploy to endlessly
switch which H/D pair was being referred to.

H correctly simulates 1 to ∞ steps of D with either pure function H or
pure simulator H. In none of these cases does the correctly simulated D
ever reach its own simulated final state and halt.

Whenever H is a pure function then H always halts.

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