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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 15:01:51 -0500
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On 5/24/2024 12:25 PM, Richard Damon wrote:
> On 5/24/24 1:10 PM, olcott wrote:
>> On 5/24/2024 2:37 AM, Fred. Zwarts wrote:
>>> Op 23.mei.2024 om 19:04 schreef olcott:
>>>> 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.
>>>>
>>>
>>> Of course this depends very much on the exact meaning of 'correct 
>>> simulation', or 'correctly emulating'. 
>>
>> Not when these are defined above.
>>
>>> E.g., take the call to H(p, p). If H recognizes that it is a call to 
>>> a H with the same algorithm as is it using itself, and it knows that 
>>> itself returns a certain integer value K, than it can be argued that 
>>> it is a correct emulation to substitute the call to H with this 
>>> integer value K, which is assigned to Halt_Status. Then the 
>>> simulation of D can proceed to line 04.
>>> What we need is an exact definition of 'correct simulation', in this 
>>
>> No, you simply need to pay complete attention to the fact that this
>> has already been provided.
>>
>> I have been over the exact same issue with dozens and dozen of people
>> though hundreds and hundreds of messages over two years.
> 
> Excpet that we have two contradictory definitions present, 

Yes you have a definition of simulation where the x86 machine
language of D is simulated incorrectly or in the wrong order.

When D is correctly simulated by pure function H where H eventually
halts and returns the meaningless 56 no D correctly simulated by
H ever reaches its final state at line 06 an halts.

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