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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: Fri, 24 May 2024 14:57:15 -0500
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On 5/24/2024 6:18 AM, Richard Damon wrote:
> On 5/23/24 11:59 PM, olcott wrote:
>> On 5/23/2024 10:47 PM, Richard Damon wrote:
>>> On 5/23/24 11:06 PM, olcott wrote:
>>>> On 5/23/2024 9:41 PM, Richard Damon wrote:
>>>>> On 5/23/24 10:22 PM, olcott wrote:
>>>>>> On 5/23/2024 8:44 PM, Richard Damon wrote:
>>>>>>> On 5/23/24 1:04 PM, 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 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 every reviewer 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.
>>>>>>>>
>>>>>>>
>>>>>>> Questions:
>>>>>>>
>>>>>>> By your definiton of "Correct Simulation", you do realize that 
>>>>>>> you have broken connection between the simulaiton not completing 
>>>>>>> and the program described by the input not halting?
>>>>>>>
>>>>>>
>>>>>> In other words you are requiring that the x86 instructions of D
>>>>>> (and possibly H) be simulated incorrectly and/or in the wrong order.
>>>>>
>>>>> No, they must be simulated COMPLETELY.
>>>>>
>>>>
>>>> (a) *Clearly you are terrible at reading a spec*
>>>> (b) *non terminating computations cannot be simulated completely*
>>>
>>> Not by your definition,
>>>
>>> D(D) proves you wrong, since it HALTS when run, it terminates.
>> *D correctly simulated by pure function H cannot possibly halt*
> 
> The FUNCTION D halts 

The strawman deception away form the subject of the subject
line will not be tolerated. I let Ben Bacarisse get away with
that for fifteen years.

*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*

*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*

*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*

*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*
*D correctly simulated by pure function H cannot possibly halt*

Not even after a quadrillion steps of correct simulation.

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