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From: olcott
Newsgroups: comp.theory
Subject: Re: Can you see that D correctly simulated by H remains stuck in
recursive simulation?
Date: Fri, 24 May 2024 12:16:31 -0500
Organization: A noiseless patient Spider
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On 5/24/2024 4:03 AM, Mikko wrote:
> On 2024-05-23 17:04:49 +0000, olcott said:
>
>> 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.
>
> One can see that D is never stuch in recursive simulation unless H is.
Counter-factual, please try again.
> Whether H is cannot be seen has the details of H are not shown. Even
> if they were H must, in order to simulate any x86 execution, be so
> big and complicated that essential aspect may be hard to see; depending,
> of course, on how the code is organized.
>
We simply assume that H is the C equivalent of a UTM that
stops simulating at some point and returns the meaningless 56.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer