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From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory,sci.logic
Subject: Re: Can you see that D correctly simulated by H remains stuck in
 recursive simulation?
Date: Sat, 25 May 2024 12:56:16 -0500
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On 5/25/2024 7:52 AM, Richard Damon wrote:
> On 5/25/24 12:28 AM, olcott wrote:



>>> That you H, by just needing to be a "Pure Funtion" is not necessarily 
>>> the computatinal eqivalent of a Turing Machine.
>>>
>>
>> Totally moot for the subject line.
> 
> Nope, ESSENTINTIAL. I am not asking you to change your definition, just 
> accept its consequences.
> 

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 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 at least one
    of the x86 instructions of D in the order specified by the x86
    instructions of D.

    This may include correctly emulating the x86 instructions of H in the
    order specified by the x86 instructions of H thus calling H(D,D) in
    recursive simulation.

*Execution Trace*
Line 11: main() invokes H(D,D); H(D,D) simulates lines 01, 02, and 03 of
D. This invokes H(D,D) again to repeat the process in endless recursive
simulation.

*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*

*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*
*This is only talking about the H/D c function pairs*

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