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Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself

From Kaz Kylheku <643-408-1753@kylheku.com>
Newsgroups comp.theory
Subject Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself
Date 2025-11-14 20:23 +0000
Organization A noiseless patient Spider
Message-ID <20251114121433.947@kylheku.com> (permalink)
References (20 earlier) <vvjgh7$28g5i$4@dont-email.me> <87seled0zy.fsf@nosuchdomain.example.com> <8Pydna01vafzFYr0nZ2dnZfqlJydnZ2d@giganews.com> <20251114115509.502@kylheku.com> <10f82e2$32vc5$1@dont-email.me>

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On 2025-11-14, olcott <polcott333@gmail.com> wrote:
> On 11/14/2025 1:57 PM, Kaz Kylheku wrote:
>> On 2025-11-14, olcott <NoOne@NoWhere.com> wrote:
>>>> Assuming that HHH(DDD) "correctly simulates" DDD, and assuming it
>>>> does nothing else, your code would be equivalent to this:
>>>>
>>>>       void DDD(void) {
>>>>           DDD();
>>>>           return;
>>>>       }
>> 
>> That assumption does not hold; HHH does not correctly simulate DDD.
>> HHH /partially/ simulates DDD and then returns 0.
>> 
>> You are back back to equivocating from an aborting HHH to non-aborting.
>> 
>> Ask Keith again about an aborting HHH such that HHH(DDD) returns 0.
>> 
>
> So you don't understand that it is impossible
> for any HHH to return any value to any DDD
> simulated by HHH?

One thing at a time!

For a HHH that is aborting/returning, void DDD(void) { DDD(); return; }
is not equivalent to DDD(void) { HHH(DDD); return; }

Now, under no simulating H (aborting or not) does the /simulation/ of
the diagonal case reach the return out of H: that much is true.

The simulated function does reach the return; the simulation just has to
be continued to perform those steps.

Under a non-aborting H (H(D) equivalent to UTM(D)), D is
non-terminating. If the abandoned simulation of D is continued, it
will not end no matter how many additional steps are simulated.

In that sense, then, that situation is equivalent to other non-terminating
situations like D() { D(); } (same as Infinite_Recursion).

That's almost certainly what Keith was talking about.

Any non-terminating function is the same as any other; it runs forever
and computes nothing. Except that some non-terminating machines consume
infinite resources (e.g. Turing machine always needing more tape)
wheras some work with fixed resources (iterating over same short piece
of tape).

A terminating function is never equivalent to a non-terminating one.

-- 
TXR Programming Language: http://nongnu.org/txr
Cygnal: Cygwin Native Application Library: http://kylheku.com/cygnal
Mastodon: @Kazinator@mstdn.ca

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Thread

Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <NoOne@NoWhere.com> - 2025-11-14 13:52 -0600
  Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-14 19:57 +0000
    Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 14:11 -0600
      Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-14 20:23 +0000
        Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 14:44 -0600
          Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-14 21:40 +0000
            Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 16:05 -0600
              Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 02:35 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 21:10 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 03:51 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself wij <wyniijj5@gmail.com> - 2025-11-15 12:57 +0800
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself wij <wyniijj5@gmail.com> - 2025-11-15 13:23 +0800
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 23:25 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 05:37 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 23:48 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 06:47 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 10:36 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-11-15 16:27 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 10:43 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 18:11 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 12:58 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 20:11 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 14:22 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 21:33 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 15:49 -0600
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 22:08 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-15 14:15 -0800
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 17:26 -0600
  Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-14 21:34 -0800
    Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-14 23:42 -0600
      Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 06:54 +0000
        Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 10:38 -0600
          Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 18:07 +0000
            Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 12:55 -0600
              Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-15 20:17 +0000
                Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-15 13:11 -0800
    Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2025-11-15 13:57 +0000
      Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-11-15 16:36 -0800
        Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 19:00 -0600
  Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself HAL 9000 <hal@discovery.nasa> - 2025-11-16 00:56 +0000
    Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-15 19:14 -0600
      Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself HAL 9000 <hal@discovery.nasa> - 2025-11-16 12:42 +0000
        Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-16 09:29 -0600
          Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself HAL 9000 <hal@discovery.nasa> - 2025-11-16 16:46 +0000
            Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself olcott <polcott333@gmail.com> - 2025-11-16 11:07 -0600
            Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself joes <noreply@example.org> - 2025-11-16 17:11 +0000
              DD simulated by HHH cannot possibly terminate normally olcott <polcott333@gmail.com> - 2025-11-16 11:20 -0600
              Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself HAL 9000 <hal@discovery.nasa> - 2025-11-16 18:40 +0000
              Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-16 18:43 +0000
            Re: Kaz ---Keith said DDD simulated by HHH is equivalent to DDD calling itself "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-16 13:18 -0800

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