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Groups > comp.theory > #118475 > unrolled thread

Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem

Started byMr Flibble <flibble@red-dwarf.jmc.corp>
First post2025-05-11 13:21 +0000
Last post2025-05-13 11:27 +0300
Articles 20 on this page of 123 — 11 participants

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  Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 13:21 +0000
    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 15:44 +0100
      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 14:48 +0000
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 16:25 +0100
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 15:34 +0000
            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 16:47 +0100
              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 15:49 +0000
                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 10:56 -0500
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 12:01 -0400
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem joes <noreply@example.org> - 2025-05-11 16:04 +0000
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 11:51 -0500
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 16:05 +0000
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 11:49 -0500
                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 12:54 -0400
                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 12:14 -0500
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:24 +0100
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 13:34 -0400
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 12:44 -0500
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 13:49 -0400
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 12:54 -0500
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 14:10 -0400
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 13:18 -0500
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 14:21 -0400
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 19:27 +0100
                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 16:59 +0000
                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 12:06 -0500
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 17:15 +0000
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 12:19 -0500
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:26 +0100
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 17:33 +0000
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:48 +0100
                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:15 +0100
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 17:26 +0000
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:31 +0100
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-11 16:05 -0700
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 18:14 -0500
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 19:45 -0400
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 19:41 -0500
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 20:43 -0400
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 21:13 -0400
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 20:48 -0500
                                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 07:40 -0400
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem joes <noreply@example.org> - 2025-05-12 09:29 +0000
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 19:16 -0400
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 17:13 +0100
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 15:58 -0400
                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 15:55 -0400
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 21:42 +0000
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 16:45 -0500
                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 19:22 -0400
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 19:19 -0400
                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 02:07 +0100
                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 20:12 -0500
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 02:34 +0100
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:05 -0500
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 03:23 +0100
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:30 -0500
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 22:34 -0400
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:39 -0500
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 22:42 -0400
                                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:53 -0500
                                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 22:54 -0400
                                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:57 -0500
                                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-11 22:59 -0400
                                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:39 -0400
                                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:38 -0400
                                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-05-13 10:58 +0300
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 07:47 -0400
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 10:46 -0500
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 11:48 -0400
                                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 11:03 -0500
                                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 12:05 -0400
                                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:44 -0400
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:43 -0400
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 07:43 -0400
                          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 21:37 -0400
                            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 21:09 -0500
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 03:37 +0100
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-11 20:11 -0700
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 22:32 -0500
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 05:13 +0100
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:48 -0400
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 05:12 +0100
                                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2025-05-11 21:37 -0700
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 05:58 +0100
                                      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-13 22:22 +0100
                                        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2025-05-13 22:45 +0100
                              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 07:51 -0400
                                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 10:48 -0500
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 11:54 -0400
                                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:51 -0400
            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 11:29 -0500
              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 18:03 +0100
                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Ben Bacarisse <ben@bsb.me.uk> - 2025-05-12 17:32 +0100
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 11:52 -0500
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:56 -0400
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-12 18:58 +0100
                    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Ben Bacarisse <ben@bsb.me.uk> - 2025-05-13 01:08 +0100
                  Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem wij <wyniijj5@gmail.com> - 2025-05-13 06:57 +0800
                    Truthmaker Maximalism and pathological self-reference olcott <polcott333@gmail.com> - 2025-05-12 18:15 -0500
                      Re: Truthmaker Maximalism and pathological self-reference wij <wyniijj5@gmail.com> - 2025-05-13 07:28 +0800
                        Re: Truthmaker Maximalism and pathological self-reference olcott <polcott333@gmail.com> - 2025-05-12 18:39 -0500
            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 15:54 -0400
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-05-12 11:59 +0300
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-11 10:49 -0500
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 17:11 +0100
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 15:48 -0400
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 10:22 -0500
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 21:59 -0400
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-05-13 11:18 +0300
      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mr Flibble <flibble@red-dwarf.jmc.corp> - 2025-05-11 14:59 +0000
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Heathfield <rjh@cpax.org.uk> - 2025-05-11 16:25 +0100
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 16:00 -0400
    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-11 15:42 -0400
    Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-05-12 11:53 +0300
      Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 10:16 -0500
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 11:21 -0400
          Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 11:09 -0500
            Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 12:15 -0400
              Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem olcott <polcott333@gmail.com> - 2025-05-12 11:43 -0500
                Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem dbush <dbush.mobile@gmail.com> - 2025-05-12 12:49 -0400
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Richard Damon <richard@damon-family.org> - 2025-05-12 22:04 -0400
        Re: Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction in the Halting Problem Mikko <mikko.levanto@iki.fi> - 2025-05-13 11:27 +0300

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#118538

Fromdbush <dbush.mobile@gmail.com>
Date2025-05-11 14:10 -0400
Message-ID<vvqp5p$h4nm$10@dont-email.me>
In reply to#118537
On 5/11/2025 1:54 PM, olcott wrote:
> On 5/11/2025 12:49 PM, dbush wrote:
>> On 5/11/2025 1:44 PM, olcott wrote:
>>> On 5/11/2025 12:34 PM, dbush wrote:
>>>> On 5/11/2025 1:14 PM, olcott wrote:
>>>>> On 5/11/2025 11:54 AM, dbush wrote:
>>>>>> On 5/11/2025 12:49 PM, olcott wrote:
>>>>>>> The category error is actually the fact that everyone
>>>>>>> here expects a termination analyzer to report on behavior
>>>>>>> other than the behavior that its input finite string
>>>>>>> actually specifies.
>>>>>>
>>>>>> That's because it's whether or not the algorithm described by the 
>>>>>> input halts when executed directly.
>>>>>>
>>>>>> No one cares what "the behavior that its input finite string 
>>>>>> specifies" because that's not what we asked about.
>>>>>
>>>>> int sum(int x, int y) { return x + y ; }
>>>>> when you ask about the sum of 5 + 7 using sum(3,2)
>>>>> you are asking the wrong question.
>>>>>
>>>>> HHH reports on the behavior that DDD specifies.
>>>>> sum reports on the sum that its inputs specify.
>>>>>
>>>>
>>>> Category error.  (2,3) is not (5,7), but (DDD) is (DDD).
>>>>
>>>
>>> DDD correctly emulated by HHH SPECIFIES RECURSIVE EMULATION
>>> DDD correctly emulated by HHH1 DOES NOT SPECIFY RECURSIVE EMULATION
>>>
>>>
>>>
>>
>> What DDD "specifies" is irrelevent.  What matters is what algorithm is 
>> described by DDD, 
> 
> Specifies means provides every single step
> of the entire execution trace.
> 
> Describes means to mention some details.
> We could "describe" DDD by saying that DDD
> has the name DDD.
> 

False.  By definition, a description contains all information necessary 
to exactly replicate what was described.

"DDD" describes the fixed code of the function DDD, the fixed code of 
the function HHH, and the fixed code of every thing HHH calls down to 
the OS level.

That UTM(DDD) exactly replicates the behavior of DDD when executed 
directly proves this is an accurate description.

Which means that given the description "DDD", the response is required 
to be 1 to meet the requirements:


Given any algorithm (i.e. a fixed immutable sequence of instructions) X 
described as <X> with input Y:

A solution to the halting problem is an algorithm H that computes the 
following mapping:

(<X>,Y) maps to 1 if and only if X(Y) halts when executed directly
(<X>,Y) maps to 0 if and only if X(Y) does not halt when executed directly

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#118539

Fromolcott <polcott333@gmail.com>
Date2025-05-11 13:18 -0500
Message-ID<vvqpl2$is9c$1@dont-email.me>
In reply to#118538
On 5/11/2025 1:10 PM, dbush wrote:
> On 5/11/2025 1:54 PM, olcott wrote:
>> On 5/11/2025 12:49 PM, dbush wrote:
>>> On 5/11/2025 1:44 PM, olcott wrote:
>>>> On 5/11/2025 12:34 PM, dbush wrote:
>>>>> On 5/11/2025 1:14 PM, olcott wrote:
>>>>>> On 5/11/2025 11:54 AM, dbush wrote:
>>>>>>> On 5/11/2025 12:49 PM, olcott wrote:
>>>>>>>> The category error is actually the fact that everyone
>>>>>>>> here expects a termination analyzer to report on behavior
>>>>>>>> other than the behavior that its input finite string
>>>>>>>> actually specifies.
>>>>>>>
>>>>>>> That's because it's whether or not the algorithm described by the 
>>>>>>> input halts when executed directly.
>>>>>>>
>>>>>>> No one cares what "the behavior that its input finite string 
>>>>>>> specifies" because that's not what we asked about.
>>>>>>
>>>>>> int sum(int x, int y) { return x + y ; }
>>>>>> when you ask about the sum of 5 + 7 using sum(3,2)
>>>>>> you are asking the wrong question.
>>>>>>
>>>>>> HHH reports on the behavior that DDD specifies.
>>>>>> sum reports on the sum that its inputs specify.
>>>>>>
>>>>>
>>>>> Category error.  (2,3) is not (5,7), but (DDD) is (DDD).
>>>>>
>>>>
>>>> DDD correctly emulated by HHH SPECIFIES RECURSIVE EMULATION
>>>> DDD correctly emulated by HHH1 DOES NOT SPECIFY RECURSIVE EMULATION
>>>>
>>>>
>>>>
>>>
>>> What DDD "specifies" is irrelevent.  What matters is what algorithm 
>>> is described by DDD, 
>>
>> Specifies means provides every single step
>> of the entire execution trace.
>>
>> Describes means to mention some details.
>> We could "describe" DDD by saying that DDD
>> has the name DDD.
>>
> 
> False.  By definition, a description contains all information necessary 
> to exactly replicate what was described.
> 
> "DDD" describes the fixed code of the function DDD, the fixed code of 
> the function HHH, and the fixed code of every thing HHH calls down to 
> the OS level.
> 
> That UTM(DDD) exactly replicates the behavior of DDD when executed 
> directly proves this is an accurate description.

HHH1(DDD) is the fully functional UTM(DDD)
DDD does not specify recursive emulation with HHH1.
DDD is emulated by HHH1 according to the rules of the x86 language

HHH(DDD) DDD specifies recursive emulation with HHH.
DDD is emulated by HHH according to the rules of the x86 language

Everyone merely assumes that I must have made some
mistake somewhere yet is not technically competent
enough to see that there is no mistake.

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

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#118540

Fromdbush <dbush.mobile@gmail.com>
Date2025-05-11 14:21 -0400
Message-ID<vvqpr1$h4nm$11@dont-email.me>
In reply to#118539
On 5/11/2025 2:18 PM, olcott wrote:
> On 5/11/2025 1:10 PM, dbush wrote:
>> On 5/11/2025 1:54 PM, olcott wrote:
>>> On 5/11/2025 12:49 PM, dbush wrote:
>>>> On 5/11/2025 1:44 PM, olcott wrote:
>>>>> On 5/11/2025 12:34 PM, dbush wrote:
>>>>>> On 5/11/2025 1:14 PM, olcott wrote:
>>>>>>> On 5/11/2025 11:54 AM, dbush wrote:
>>>>>>>> On 5/11/2025 12:49 PM, olcott wrote:
>>>>>>>>> The category error is actually the fact that everyone
>>>>>>>>> here expects a termination analyzer to report on behavior
>>>>>>>>> other than the behavior that its input finite string
>>>>>>>>> actually specifies.
>>>>>>>>
>>>>>>>> That's because it's whether or not the algorithm described by 
>>>>>>>> the input halts when executed directly.
>>>>>>>>
>>>>>>>> No one cares what "the behavior that its input finite string 
>>>>>>>> specifies" because that's not what we asked about.
>>>>>>>
>>>>>>> int sum(int x, int y) { return x + y ; }
>>>>>>> when you ask about the sum of 5 + 7 using sum(3,2)
>>>>>>> you are asking the wrong question.
>>>>>>>
>>>>>>> HHH reports on the behavior that DDD specifies.
>>>>>>> sum reports on the sum that its inputs specify.
>>>>>>>
>>>>>>
>>>>>> Category error.  (2,3) is not (5,7), but (DDD) is (DDD).
>>>>>>
>>>>>
>>>>> DDD correctly emulated by HHH SPECIFIES RECURSIVE EMULATION
>>>>> DDD correctly emulated by HHH1 DOES NOT SPECIFY RECURSIVE EMULATION
>>>>>
>>>>>
>>>>>
>>>>
>>>> What DDD "specifies" is irrelevent.  What matters is what algorithm 
>>>> is described by DDD, 
>>>
>>> Specifies means provides every single step
>>> of the entire execution trace.
>>>
>>> Describes means to mention some details.
>>> We could "describe" DDD by saying that DDD
>>> has the name DDD.
>>>
>>
>> False.  By definition, a description contains all information 
>> necessary to exactly replicate what was described.
>>
>> "DDD" describes the fixed code of the function DDD, the fixed code of 
>> the function HHH, and the fixed code of every thing HHH calls down to 
>> the OS level.
>>
>> That UTM(DDD) exactly replicates the behavior of DDD when executed 
>> directly proves this is an accurate description.
> 
> HHH1(DDD) is the fully functional UTM(DDD)
> DDD does not specify recursive emulation with HHH1.

And it describes an algorithm which halts when executed directly.

> DDD is emulated by HHH1 according to the rules of the x86 language

And it does so correctly, showing that the algorithm described halts.

> 
> HHH(DDD) DDD specifies recursive emulation with HHH.

But it describes an algorithm which halts when executed directly.

> DDD is emulated by HHH according to the rules of the x86 language

A lie, as you have admitted otherwise on the record:


On 5/5/2025 8:24 AM, dbush wrote:
 > On 5/4/2025 11:03 PM, dbush wrote:
 >> On 5/4/2025 10:05 PM, olcott wrote:
 >>> On 5/4/2025 7:23 PM, Richard Damon wrote:
 >>>> But HHH doesn't correct emulated DD by those rules, as those rules
 >>>> do not allow HHH to stop its emulation,
 >>>
 >>> Sure they do you freaking moron...
 >>
 >> Then show where in the Intel instruction manual that the execution of
 >> any instruction other than a HLT is allowed to stop instead of
 >> executing the next instruction.
 >>
 >> Failure to do so in your next reply, or within one hour of your next
 >> post on this newsgroup, will be taken as you official on-the-record
 >> admission that there is no such allowance and that HHH does NOT
 >> correctly simulate DD.
 >
 > Let the record show that Peter Olcott made the following post in this
 > newsgroup after the above message:
 >
 > On 5/4/2025 11:04 PM, olcott wrote:
 >  > D *WOULD NEVER STOP RUNNING UNLESS*
 >  > indicates that professor Sipser was agreeing
 >  > to hypotheticals AS *NOT CHANGING THE INPUT*
 >  >
 >  > You are taking
 >  > *WOULD NEVER STOP RUNNING UNLESS*
 >  > to mean *NEVER STOPS RUNNING* that is incorrect.
 >
 > And has made no attempt after over 9 hours to show where in the Intel
 > instruction manual that execution is allowed to stop after any
 > instruction other than HLT.
 >
 > Therefore, as per the above criteria:
 >
 > LET THE RECORD SHOW
 >
 > That Peter Olcott
 >
 > Has *officially* admitted
 >
 > That DD is NOT correctly simulated by HHH

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#118541

FromRichard Heathfield <rjh@cpax.org.uk>
Date2025-05-11 19:27 +0100
Message-ID<vvqq5q$i3hn$5@dont-email.me>
In reply to#118538
On 11/05/2025 19:10, dbush wrote:
> On 5/11/2025 1:54 PM, olcott wrote:
>> On 5/11/2025 12:49 PM, dbush wrote:
>>> On 5/11/2025 1:44 PM, olcott wrote:
>>>> On 5/11/2025 12:34 PM, dbush wrote:
>>>>> On 5/11/2025 1:14 PM, olcott wrote:
>>>>>> On 5/11/2025 11:54 AM, dbush wrote:
>>>>>>> On 5/11/2025 12:49 PM, olcott wrote:
>>>>>>>> The category error is actually the fact that everyone
>>>>>>>> here expects a termination analyzer to report on behavior
>>>>>>>> other than the behavior that its input finite string
>>>>>>>> actually specifies.
>>>>>>>
>>>>>>> That's because it's whether or not the algorithm described 
>>>>>>> by the input halts when executed directly.
>>>>>>>
>>>>>>> No one cares what "the behavior that its input finite 
>>>>>>> string specifies" because that's not what we asked about.
>>>>>>
>>>>>> int sum(int x, int y) { return x + y ; }
>>>>>> when you ask about the sum of 5 + 7 using sum(3,2)
>>>>>> you are asking the wrong question.
>>>>>>
>>>>>> HHH reports on the behavior that DDD specifies.
>>>>>> sum reports on the sum that its inputs specify.
>>>>>>
>>>>>
>>>>> Category error.  (2,3) is not (5,7), but (DDD) is (DDD).
>>>>>
>>>>
>>>> DDD correctly emulated by HHH SPECIFIES RECURSIVE EMULATION
>>>> DDD correctly emulated by HHH1 DOES NOT SPECIFY RECURSIVE 
>>>> EMULATION
>>>>
>>>>
>>>>
>>>
>>> What DDD "specifies" is irrelevent.  What matters is what 
>>> algorithm is described by DDD, 
>>
>> Specifies means provides every single step
>> of the entire execution trace.
>>
>> Describes means to mention some details.
>> We could "describe" DDD by saying that DDD
>> has the name DDD.
>>
> 
> False.  By definition, a description contains all information 
> necessary to exactly replicate what was described.

By your definition, perhaps, but Mr Olcott's interpretation of 
the word is perfectly reasonable, perfectly ordinary, and easy to 
justify from the dictionary.

Why not cede this utterly unimportant point instead of fighting a 
side-battle you can't win? It hardly matters, after all.

What really matters is this: by simulating DDD, can HHH make 
correct predictions of the behaviour DDD exhibits when run 
natively? Call it definition or call it description if you will, 
but what we're really after is behaviour.

If it can, that will give us a lemma - a staging post for the 
next part - but I'm not holding my breath. HHH still has syntax 
errors.

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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#118514

FromMr Flibble <flibble@red-dwarf.jmc.corp>
Date2025-05-11 16:59 +0000
Message-ID<WH4UP.229898$_Npd.172992@fx01.ams4>
In reply to#118510
On Sun, 11 May 2025 11:49:51 -0500, olcott wrote:

> On 5/11/2025 11:05 AM, Mr Flibble wrote:
>> On Sun, 11 May 2025 10:56:02 -0500, olcott wrote:
>> 
>>> On 5/11/2025 10:49 AM, Mr Flibble wrote:
>>>> On Sun, 11 May 2025 16:47:09 +0100, Richard Heathfield wrote:
>>>>
>>>>> On 11/05/2025 16:34, Mr Flibble wrote:
>>>>>> On Sun, 11 May 2025 16:25:14 +0100, Richard Heathfield wrote:
>>>>>>
>>>>>>> For a question to be semantically incorrect, it takes more than
>>>>>>> just you and your allies to be unhappy with it.
>>>>>>
>>>>>> For a question to be semantically correct, it takes more than just
>>>>>> you and your allies to be happy with it.
>>>>>
>>>>> Indeed. It has to have meaning. It does. That meaning has to be
>>>>> understood by sufficiently intelligent people. It is.
>>>>>
>>>>> You don't like the question. I get that. I don't know /why/ you
>>>>> don't like it, because all your explanations to date have been
>>>>> complete expletive deleted. For a Usenet article to be semantically
>>>>> correct, it helps if your readers can understand what the <exp.
>>>>> del.> you're talking about.
>>>>>
>>>>> What I get from your stand is that you agree with olcott that a
>>>>> 'pathological' input halts... no, never halts... well, you can't
>>>>> decide between you, but you're agreed that it's definitely
>>>>> decidable, right?
>>>>
>>>> Re-read the OP for my answer:
>>>>
>>>> Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction
>>>> in the Halting Problem
>>>>
>> 
===========================================================================================
>>>>
>>>> Summary -------
>>>> Flibble argues that the Halting Problem's undecidability proof is
>>>> built on a category (type) error: it assumes a program and its own
>>>> representation (as a finite string) are interchangeable. This
>>>> assumption fails under simulating deciders, revealing a type
>>>> distinction through behavioral divergence. As such, all deciders must
>>>> respect this boundary, and diagonalization becomes ill-formed. This
>>>> reframing dissolves the paradox by making the Halting Problem itself
>>>> an ill-posed question.
>>>>
>>>> 1. Operational Evidence of Type Distinction
>>>> -------------------------------------------
>>>> - When a program (e.g., `DD()`) is passed to a simulating halt
>>>> decider (`HHH`), it leads to infinite recursion.
>>>> - This behavior differs from direct execution (e.g., a crash due to a
>>>> stack overflow).
>>>
>>> The directly executed DD() simply halts because HHH has stopped the
>>> infinite recursion that it specifies on its second recursive call.
>> 
>> That behaviour is due to a decision you have made, that I disagree
>> with,
>> the correct thing to do is to allow infinite recursion to manifest as
>> stack overflow rather than return an artificial halting result.
>> 
>> 
> That fails to meet the spec of a termination analyzer.

Nevertheless it is impossible to obtain a halting result as the problem is 
ill-formed: mapping a halting result of non-halting to the infinite 
recursion manifesting due to type mismatch is entirely artificial.

/Flibble

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#118517

Fromolcott <polcott333@gmail.com>
Date2025-05-11 12:06 -0500
Message-ID<vvqlf0$gldn$16@dont-email.me>
In reply to#118514
On 5/11/2025 11:59 AM, Mr Flibble wrote:
> On Sun, 11 May 2025 11:49:51 -0500, olcott wrote:
> 
>> On 5/11/2025 11:05 AM, Mr Flibble wrote:
>>> On Sun, 11 May 2025 10:56:02 -0500, olcott wrote:
>>>
>>>> On 5/11/2025 10:49 AM, Mr Flibble wrote:
>>>>> On Sun, 11 May 2025 16:47:09 +0100, Richard Heathfield wrote:
>>>>>
>>>>>> On 11/05/2025 16:34, Mr Flibble wrote:
>>>>>>> On Sun, 11 May 2025 16:25:14 +0100, Richard Heathfield wrote:
>>>>>>>
>>>>>>>> For a question to be semantically incorrect, it takes more than
>>>>>>>> just you and your allies to be unhappy with it.
>>>>>>>
>>>>>>> For a question to be semantically correct, it takes more than just
>>>>>>> you and your allies to be happy with it.
>>>>>>
>>>>>> Indeed. It has to have meaning. It does. That meaning has to be
>>>>>> understood by sufficiently intelligent people. It is.
>>>>>>
>>>>>> You don't like the question. I get that. I don't know /why/ you
>>>>>> don't like it, because all your explanations to date have been
>>>>>> complete expletive deleted. For a Usenet article to be semantically
>>>>>> correct, it helps if your readers can understand what the <exp.
>>>>>> del.> you're talking about.
>>>>>>
>>>>>> What I get from your stand is that you agree with olcott that a
>>>>>> 'pathological' input halts... no, never halts... well, you can't
>>>>>> decide between you, but you're agreed that it's definitely
>>>>>> decidable, right?
>>>>>
>>>>> Re-read the OP for my answer:
>>>>>
>>>>> Flibble’s Leap: Why Behavioral Divergence Implies a Type Distinction
>>>>> in the Halting Problem
>>>>>
>>>
> ===========================================================================================
>>>>>
>>>>> Summary -------
>>>>> Flibble argues that the Halting Problem's undecidability proof is
>>>>> built on a category (type) error: it assumes a program and its own
>>>>> representation (as a finite string) are interchangeable. This
>>>>> assumption fails under simulating deciders, revealing a type
>>>>> distinction through behavioral divergence. As such, all deciders must
>>>>> respect this boundary, and diagonalization becomes ill-formed. This
>>>>> reframing dissolves the paradox by making the Halting Problem itself
>>>>> an ill-posed question.
>>>>>
>>>>> 1. Operational Evidence of Type Distinction
>>>>> -------------------------------------------
>>>>> - When a program (e.g., `DD()`) is passed to a simulating halt
>>>>> decider (`HHH`), it leads to infinite recursion.
>>>>> - This behavior differs from direct execution (e.g., a crash due to a
>>>>> stack overflow).
>>>>
>>>> The directly executed DD() simply halts because HHH has stopped the
>>>> infinite recursion that it specifies on its second recursive call.
>>>
>>> That behaviour is due to a decision you have made, that I disagree
>>> with,
>>> the correct thing to do is to allow infinite recursion to manifest as
>>> stack overflow rather than return an artificial halting result.
>>>
>>>
>> That fails to meet the spec of a termination analyzer.
> 
> Nevertheless it is impossible to obtain a halting result as the problem is
> ill-formed: mapping a halting result of non-halting to the infinite
> recursion manifesting due to type mismatch is entirely artificial.
> 
> /Flibble 

When a simulating termination analyzer examines
the behavior that its input actually specifies
and reports on this, then in the case of every
conventional Halting Problem proof it is correct
to reject this input as non-halting.


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

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#118521

FromMr Flibble <flibble@red-dwarf.jmc.corp>
Date2025-05-11 17:15 +0000
Message-ID<eX4UP.687993$4AM6.454940@fx17.ams4>
In reply to#118517
On Sun, 11 May 2025 12:06:40 -0500, olcott wrote:

> On 5/11/2025 11:59 AM, Mr Flibble wrote:
>> On Sun, 11 May 2025 11:49:51 -0500, olcott wrote:
>> 
>>> On 5/11/2025 11:05 AM, Mr Flibble wrote:
>>>> On Sun, 11 May 2025 10:56:02 -0500, olcott wrote:
>>>>
>>>>> On 5/11/2025 10:49 AM, Mr Flibble wrote:
>>>>>> On Sun, 11 May 2025 16:47:09 +0100, Richard Heathfield wrote:
>>>>>>
>>>>>>> On 11/05/2025 16:34, Mr Flibble wrote:
>>>>>>>> On Sun, 11 May 2025 16:25:14 +0100, Richard Heathfield wrote:
>>>>>>>>
>>>>>>>>> For a question to be semantically incorrect, it takes more than
>>>>>>>>> just you and your allies to be unhappy with it.
>>>>>>>>
>>>>>>>> For a question to be semantically correct, it takes more than
>>>>>>>> just you and your allies to be happy with it.
>>>>>>>
>>>>>>> Indeed. It has to have meaning. It does. That meaning has to be
>>>>>>> understood by sufficiently intelligent people. It is.
>>>>>>>
>>>>>>> You don't like the question. I get that. I don't know /why/ you
>>>>>>> don't like it, because all your explanations to date have been
>>>>>>> complete expletive deleted. For a Usenet article to be
>>>>>>> semantically correct, it helps if your readers can understand what
>>>>>>> the <exp. del.> you're talking about.
>>>>>>>
>>>>>>> What I get from your stand is that you agree with olcott that a
>>>>>>> 'pathological' input halts... no, never halts... well, you can't
>>>>>>> decide between you, but you're agreed that it's definitely
>>>>>>> decidable, right?
>>>>>>
>>>>>> Re-read the OP for my answer:
>>>>>>
>>>>>> Flibble’s Leap: Why Behavioral Divergence Implies a Type
>>>>>> Distinction in the Halting Problem
>>>>>>
>>>>>>
>> 
===========================================================================================
>>>>>>
>>>>>> Summary -------
>>>>>> Flibble argues that the Halting Problem's undecidability proof is
>>>>>> built on a category (type) error: it assumes a program and its own
>>>>>> representation (as a finite string) are interchangeable. This
>>>>>> assumption fails under simulating deciders, revealing a type
>>>>>> distinction through behavioral divergence. As such, all deciders
>>>>>> must respect this boundary, and diagonalization becomes ill-formed.
>>>>>> This reframing dissolves the paradox by making the Halting Problem
>>>>>> itself an ill-posed question.
>>>>>>
>>>>>> 1. Operational Evidence of Type Distinction
>>>>>> -------------------------------------------
>>>>>> - When a program (e.g., `DD()`) is passed to a simulating halt
>>>>>> decider (`HHH`), it leads to infinite recursion.
>>>>>> - This behavior differs from direct execution (e.g., a crash due to
>>>>>> a stack overflow).
>>>>>
>>>>> The directly executed DD() simply halts because HHH has stopped the
>>>>> infinite recursion that it specifies on its second recursive call.
>>>>
>>>> That behaviour is due to a decision you have made, that I disagree
>>>> with,
>>>> the correct thing to do is to allow infinite recursion to manifest as
>>>> stack overflow rather than return an artificial halting result.
>>>>
>>>>
>>> That fails to meet the spec of a termination analyzer.
>> 
>> Nevertheless it is impossible to obtain a halting result as the problem
>> is ill-formed: mapping a halting result of non-halting to the infinite
>> recursion manifesting due to type mismatch is entirely artificial.
>> 
>> /Flibble
> 
> When a simulating termination analyzer examines the behavior that its
> input actually specifies and reports on this, then in the case of every
> conventional Halting Problem proof it is correct to reject this input as
> non-halting.

But it would "halt" due to stack overflow if you let the simulation 
proceed.

The truth is it neither halts nor doesn't halt as the question being asked 
is ill-formed.

/Flibble

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#118522

Fromolcott <polcott333@gmail.com>
Date2025-05-11 12:19 -0500
Message-ID<vvqm6g$i5d0$1@dont-email.me>
In reply to#118521
On 5/11/2025 12:15 PM, Mr Flibble wrote:
> On Sun, 11 May 2025 12:06:40 -0500, olcott wrote:
> 
>> On 5/11/2025 11:59 AM, Mr Flibble wrote:
>>> On Sun, 11 May 2025 11:49:51 -0500, olcott wrote:
>>>
>>>> On 5/11/2025 11:05 AM, Mr Flibble wrote:
>>>>> On Sun, 11 May 2025 10:56:02 -0500, olcott wrote:
>>>>>
>>>>>> On 5/11/2025 10:49 AM, Mr Flibble wrote:
>>>>>>> On Sun, 11 May 2025 16:47:09 +0100, Richard Heathfield wrote:
>>>>>>>
>>>>>>>> On 11/05/2025 16:34, Mr Flibble wrote:
>>>>>>>>> On Sun, 11 May 2025 16:25:14 +0100, Richard Heathfield wrote:
>>>>>>>>>
>>>>>>>>>> For a question to be semantically incorrect, it takes more than
>>>>>>>>>> just you and your allies to be unhappy with it.
>>>>>>>>>
>>>>>>>>> For a question to be semantically correct, it takes more than
>>>>>>>>> just you and your allies to be happy with it.
>>>>>>>>
>>>>>>>> Indeed. It has to have meaning. It does. That meaning has to be
>>>>>>>> understood by sufficiently intelligent people. It is.
>>>>>>>>
>>>>>>>> You don't like the question. I get that. I don't know /why/ you
>>>>>>>> don't like it, because all your explanations to date have been
>>>>>>>> complete expletive deleted. For a Usenet article to be
>>>>>>>> semantically correct, it helps if your readers can understand what
>>>>>>>> the <exp. del.> you're talking about.
>>>>>>>>
>>>>>>>> What I get from your stand is that you agree with olcott that a
>>>>>>>> 'pathological' input halts... no, never halts... well, you can't
>>>>>>>> decide between you, but you're agreed that it's definitely
>>>>>>>> decidable, right?
>>>>>>>
>>>>>>> Re-read the OP for my answer:
>>>>>>>
>>>>>>> Flibble’s Leap: Why Behavioral Divergence Implies a Type
>>>>>>> Distinction in the Halting Problem
>>>>>>>
>>>>>>>
>>>
> ===========================================================================================
>>>>>>>
>>>>>>> Summary -------
>>>>>>> Flibble argues that the Halting Problem's undecidability proof is
>>>>>>> built on a category (type) error: it assumes a program and its own
>>>>>>> representation (as a finite string) are interchangeable. This
>>>>>>> assumption fails under simulating deciders, revealing a type
>>>>>>> distinction through behavioral divergence. As such, all deciders
>>>>>>> must respect this boundary, and diagonalization becomes ill-formed.
>>>>>>> This reframing dissolves the paradox by making the Halting Problem
>>>>>>> itself an ill-posed question.
>>>>>>>
>>>>>>> 1. Operational Evidence of Type Distinction
>>>>>>> -------------------------------------------
>>>>>>> - When a program (e.g., `DD()`) is passed to a simulating halt
>>>>>>> decider (`HHH`), it leads to infinite recursion.
>>>>>>> - This behavior differs from direct execution (e.g., a crash due to
>>>>>>> a stack overflow).
>>>>>>
>>>>>> The directly executed DD() simply halts because HHH has stopped the
>>>>>> infinite recursion that it specifies on its second recursive call.
>>>>>
>>>>> That behaviour is due to a decision you have made, that I disagree
>>>>> with,
>>>>> the correct thing to do is to allow infinite recursion to manifest as
>>>>> stack overflow rather than return an artificial halting result.
>>>>>
>>>>>
>>>> That fails to meet the spec of a termination analyzer.
>>>
>>> Nevertheless it is impossible to obtain a halting result as the problem
>>> is ill-formed: mapping a halting result of non-halting to the infinite
>>> recursion manifesting due to type mismatch is entirely artificial.
>>>
>>> /Flibble
>>
>> When a simulating termination analyzer examines the behavior that its
>> input actually specifies and reports on this, then in the case of every
>> conventional Halting Problem proof it is correct to reject this input as
>> non-halting.
> 
> But it would "halt" due to stack overflow if you let the simulation
> proceed.
> 

That is not what halting means.
Halting means reaching a final halt state and terminating normally.
Neither DDD nor DD correctly emulated by HHH can do that.

> The truth is it neither halts nor doesn't halt as the question being asked
> is ill-formed.
> 
> /Flibble


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

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#118526

FromRichard Heathfield <rjh@cpax.org.uk>
Date2025-05-11 18:26 +0100
Message-ID<vvqmkm$i3hn$3@dont-email.me>
In reply to#118521
On 11/05/2025 18:15, Mr Flibble wrote:
> The truth is it neither halts nor doesn't halt as the question being asked
> is ill-formed.

So it's stopped running, but it's started hopping?


Your answer is bizarre, but it makes a lot more sense when we 
realise that you are desperately trying to avoid saying that it's 
undecidable.

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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#118528

FromMr Flibble <flibble@red-dwarf.jmc.corp>
Date2025-05-11 17:33 +0000
Message-ID<3c5UP.70485$v0S.5020@fx14.ams4>
In reply to#118526
On Sun, 11 May 2025 18:26:46 +0100, Richard Heathfield wrote:

> On 11/05/2025 18:15, Mr Flibble wrote:
>> The truth is it neither halts nor doesn't halt as the question being
>> asked is ill-formed.
> 
> So it's stopped running, but it's started hopping?
> 
> 
> Your answer is bizarre, but it makes a lot more sense when we realise
> that you are desperately trying to avoid saying that it's undecidable.

It is undecidable but not for the reason given by Turing.

/Flibble

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#118535

FromRichard Heathfield <rjh@cpax.org.uk>
Date2025-05-11 18:48 +0100
Message-ID<vvqnu0$i3hn$4@dont-email.me>
In reply to#118528
On 11/05/2025 18:33, Mr Flibble wrote:
> On Sun, 11 May 2025 18:26:46 +0100, Richard Heathfield wrote:
> 
>> On 11/05/2025 18:15, Mr Flibble wrote:
>>> The truth is it neither halts nor doesn't halt as the question being
>>> asked is ill-formed.
>>
>> So it's stopped running, but it's started hopping?
>>
>>
>> Your answer is bizarre, but it makes a lot more sense when we realise
>> that you are desperately trying to avoid saying that it's undecidable.
> 
> It is undecidable

Finally!

> but not for the reason given by Turing.


Pausing only to reflect that in his 1936 paper on computable 
numbers he didn't use the word 'halt' (not even once), I'll leave 
it at that and let you think about which reason Turing gave and 
what issue you have with it.

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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#118520

FromRichard Heathfield <rjh@cpax.org.uk>
Date2025-05-11 18:15 +0100
Message-ID<vvqm03$i3hn$1@dont-email.me>
In reply to#118514
On 11/05/2025 17:59, Mr Flibble wrote:
> it is impossible to obtain a halting result


That sure looks like a concession that it's impossible to devise 
an algorithm that will produce a halting result.

Well done. We got you there in the end.


-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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#118525

FromMr Flibble <flibble@red-dwarf.jmc.corp>
Date2025-05-11 17:26 +0000
Message-ID<g55UP.688178$4AM6.545580@fx17.ams4>
In reply to#118520
On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:

> On 11/05/2025 17:59, Mr Flibble wrote:
>> it is impossible to obtain a halting result
> 
> 
> That sure looks like a concession that it's impossible to devise an
> algorithm that will produce a halting result.
> 
> Well done. We got you there in the end.

No. The reason why it is impossible to obtain a halting result for 
pathological input is not the reason proposed by Turing (i.e. self-
referential diagonalization), it is impossible to obtain a halting result 
for pathological input because the self-referential conflation of decider 
and input is a category error that prevents us from performing 
diagonalization.

To usefully advance research in this area pathological input needs to be 
excluded from the set of programs that can be analysed by a decider.

/Flibble

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#118527

FromRichard Heathfield <rjh@cpax.org.uk>
Date2025-05-11 18:31 +0100
Message-ID<vvqmu2$g8ck$6@dont-email.me>
In reply to#118525
On 11/05/2025 18:26, Mr Flibble wrote:
> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
> 
>> On 11/05/2025 17:59, Mr Flibble wrote:
>>> it is impossible to obtain a halting result
>>
>>
>> That sure looks like a concession that it's impossible to devise an
>> algorithm that will produce a halting result.
>>
>> Well done. We got you there in the end.
> 
> No.

Well, yyeess, actually.

> The reason why it is impossible

Hold that thought. Never mind the reason for now. We can come to 
that another time.

"...it is impossible..."

Precisely.

QED^3.


> to obtain a halting result for
> pathological input is not the reason proposed by Turing (i.e. self-
> referential diagonalization),

blah blah blah yeah yeah

> it is impossible to obtain a halting result

So it's undecidable, then? Yeah, I spotted that too.

> for pathological input because the self-referential conflation of decider
> and input is a category error that prevents us from performing
> diagonalization.
more blah blah blah yeah yeah

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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#118578

FromKeith Thompson <Keith.S.Thompson+u@gmail.com>
Date2025-05-11 16:05 -0700
Message-ID<87o6vy4ulc.fsf@nosuchdomain.example.com>
In reply to#118525
Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>
>> On 11/05/2025 17:59, Mr Flibble wrote:
>>> it is impossible to obtain a halting result
>> 
>> 
>> That sure looks like a concession that it's impossible to devise an
>> algorithm that will produce a halting result.
>> 
>> Well done. We got you there in the end.
>
> No. The reason why it is impossible to obtain a halting result for 
> pathological input is not the reason proposed by Turing (i.e. self-
> referential diagonalization), it is impossible to obtain a halting result 
> for pathological input because the self-referential conflation of decider 
> and input is a category error that prevents us from performing 
> diagonalization.

Is it possible to determine whether a given input is "pathological" or not?

> To usefully advance research in this area pathological input needs to be 
> excluded from the set of programs that can be analysed by a decider.

Can this exclusion be performed reliably and consistently?

-- 
Keith Thompson (The_Other_Keith) Keith.S.Thompson+u@gmail.com
void Void(void) { Void(); } /* The recursive call of the void */

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#118581

Fromolcott <polcott333@gmail.com>
Date2025-05-11 18:14 -0500
Message-ID<vvrb1g$me5h$2@dont-email.me>
In reply to#118578
On 5/11/2025 6:05 PM, Keith Thompson wrote:
> Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
>> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>>
>>> On 11/05/2025 17:59, Mr Flibble wrote:
>>>> it is impossible to obtain a halting result
>>>
>>>
>>> That sure looks like a concession that it's impossible to devise an
>>> algorithm that will produce a halting result.
>>>
>>> Well done. We got you there in the end.
>>
>> No. The reason why it is impossible to obtain a halting result for
>> pathological input is not the reason proposed by Turing (i.e. self-
>> referential diagonalization), it is impossible to obtain a halting result
>> for pathological input because the self-referential conflation of decider
>> and input is a category error that prevents us from performing
>> diagonalization.
> 
> Is it possible to determine whether a given input is "pathological" or not?
> 
>> To usefully advance research in this area pathological input needs to be
>> excluded from the set of programs that can be analysed by a decider.
> 
> Can this exclusion be performed reliably and consistently?
> 

That is a good question. The answer is definitely
yes. When HHH emulates DDD it only needs to see
that DDD is calling itself with no conditional branch
instructions inbetween.

Whether a function computed by a Turing machine can
do this is a different question.

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

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#118589

FromRichard Damon <richard@damon-family.org>
Date2025-05-11 19:45 -0400
Message-ID<f2bc11d4d57ba6260c0cca597204057a28c8276e@i2pn2.org>
In reply to#118581
On 5/11/25 7:14 PM, olcott wrote:
> On 5/11/2025 6:05 PM, Keith Thompson wrote:
>> Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
>>> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>>>
>>>> On 11/05/2025 17:59, Mr Flibble wrote:
>>>>> it is impossible to obtain a halting result
>>>>
>>>>
>>>> That sure looks like a concession that it's impossible to devise an
>>>> algorithm that will produce a halting result.
>>>>
>>>> Well done. We got you there in the end.
>>>
>>> No. The reason why it is impossible to obtain a halting result for
>>> pathological input is not the reason proposed by Turing (i.e. self-
>>> referential diagonalization), it is impossible to obtain a halting 
>>> result
>>> for pathological input because the self-referential conflation of 
>>> decider
>>> and input is a category error that prevents us from performing
>>> diagonalization.
>>
>> Is it possible to determine whether a given input is "pathological" or 
>> not?
>>
>>> To usefully advance research in this area pathological input needs to be
>>> excluded from the set of programs that can be analysed by a decider.
>>
>> Can this exclusion be performed reliably and consistently?
>>
> 
> That is a good question. The answer is definitely
> yes. When HHH emulates DDD it only needs to see
> that DDD is calling itself with no conditional branch
> instructions inbetween.
> 
> Whether a function computed by a Turing machine can
> do this is a different question.
> 

So, try to do it.

Note, if your system *IS* the equivalent of a Turing Machine, then if 
yours can do it so can a Turing Machine.

The problem is that you system is NOT the equivalent of the pair of 
Turing Machines, and you have even made stipulations that prove that 
your system is less than Turing Complete.

The key problem is that you have inforced a restriction that the 
function HHH can not be "cloned" as can be done in a real Turing System. 
If I can make an equvalent copy of the code of HHH (and perhaps make 
some cosmetic but not functional changing) then HHH can not detect that 
operation.

This is of course, beyond your comprehension.

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#118594

Fromolcott <polcott333@gmail.com>
Date2025-05-11 19:41 -0500
Message-ID<vvrg32$n9a9$2@dont-email.me>
In reply to#118589
On 5/11/2025 6:45 PM, Richard Damon wrote:
> On 5/11/25 7:14 PM, olcott wrote:
>> On 5/11/2025 6:05 PM, Keith Thompson wrote:
>>> Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
>>>> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>>>>
>>>>> On 11/05/2025 17:59, Mr Flibble wrote:
>>>>>> it is impossible to obtain a halting result
>>>>>
>>>>>
>>>>> That sure looks like a concession that it's impossible to devise an
>>>>> algorithm that will produce a halting result.
>>>>>
>>>>> Well done. We got you there in the end.
>>>>
>>>> No. The reason why it is impossible to obtain a halting result for
>>>> pathological input is not the reason proposed by Turing (i.e. self-
>>>> referential diagonalization), it is impossible to obtain a halting 
>>>> result
>>>> for pathological input because the self-referential conflation of 
>>>> decider
>>>> and input is a category error that prevents us from performing
>>>> diagonalization.
>>>
>>> Is it possible to determine whether a given input is "pathological" 
>>> or not?
>>>
>>>> To usefully advance research in this area pathological input needs 
>>>> to be
>>>> excluded from the set of programs that can be analysed by a decider.
>>>
>>> Can this exclusion be performed reliably and consistently?
>>>
>>
>> That is a good question. The answer is definitely
>> yes. When HHH emulates DDD it only needs to see
>> that DDD is calling itself with no conditional branch
>> instructions inbetween.
>>
>> Whether a function computed by a Turing machine can
>> do this is a different question.
>>
> 
> So, try to do it.
> 

No need to. DDD emulated by HHH according to the
rules of the computational language that DD is
encoded within already proves that the HP
"impossible" input specifies a non-halting
sequence of configurations.

This by itself is much more progress than anyone
else has ever made on the halting problem.

To the best of my recollection
Mike has already agreed that the outermost HHH
can dig into the details of all of the levels
of recursive simulation to get the details that
it currently uses. All of these details are
merely data to this outermost HHH.

This is analogous to a master UTM examining
all of its own tape, even those portions that
are allocated to slave UTMs.

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

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#118595

Fromdbush <dbush.mobile@gmail.com>
Date2025-05-11 20:43 -0400
Message-ID<vvrg7j$mv2a$2@dont-email.me>
In reply to#118594
On 5/11/2025 8:41 PM, olcott wrote:
> On 5/11/2025 6:45 PM, Richard Damon wrote:
>> On 5/11/25 7:14 PM, olcott wrote:
>>> On 5/11/2025 6:05 PM, Keith Thompson wrote:
>>>> Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
>>>>> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>>>>>
>>>>>> On 11/05/2025 17:59, Mr Flibble wrote:
>>>>>>> it is impossible to obtain a halting result
>>>>>>
>>>>>>
>>>>>> That sure looks like a concession that it's impossible to devise an
>>>>>> algorithm that will produce a halting result.
>>>>>>
>>>>>> Well done. We got you there in the end.
>>>>>
>>>>> No. The reason why it is impossible to obtain a halting result for
>>>>> pathological input is not the reason proposed by Turing (i.e. self-
>>>>> referential diagonalization), it is impossible to obtain a halting 
>>>>> result
>>>>> for pathological input because the self-referential conflation of 
>>>>> decider
>>>>> and input is a category error that prevents us from performing
>>>>> diagonalization.
>>>>
>>>> Is it possible to determine whether a given input is "pathological" 
>>>> or not?
>>>>
>>>>> To usefully advance research in this area pathological input needs 
>>>>> to be
>>>>> excluded from the set of programs that can be analysed by a decider.
>>>>
>>>> Can this exclusion be performed reliably and consistently?
>>>>
>>>
>>> That is a good question. The answer is definitely
>>> yes. When HHH emulates DDD it only needs to see
>>> that DDD is calling itself with no conditional branch
>>> instructions inbetween.
>>>
>>> Whether a function computed by a Turing machine can
>>> do this is a different question.
>>>
>>
>> So, try to do it.
>>
> 
> No need to. DDD emulated by HHH according to the
> rules of the computational language that DD is
> encoded within 

Doesn't happen, as you have admitted on the record:


On 5/5/2025 8:24 AM, dbush wrote:
 > On 5/4/2025 11:03 PM, dbush wrote:
 >> On 5/4/2025 10:05 PM, olcott wrote:
 >>> On 5/4/2025 7:23 PM, Richard Damon wrote:
 >>>> But HHH doesn't correct emulated DD by those rules, as those rules
 >>>> do not allow HHH to stop its emulation,
 >>>
 >>> Sure they do you freaking moron...
 >>
 >> Then show where in the Intel instruction manual that the execution of
 >> any instruction other than a HLT is allowed to stop instead of
 >> executing the next instruction.
 >>
 >> Failure to do so in your next reply, or within one hour of your next
 >> post on this newsgroup, will be taken as you official on-the-record
 >> admission that there is no such allowance and that HHH does NOT
 >> correctly simulate DD.
 >
 > Let the record show that Peter Olcott made the following post in this
 > newsgroup after the above message:
 >
 > On 5/4/2025 11:04 PM, olcott wrote:
 >  > D *WOULD NEVER STOP RUNNING UNLESS*
 >  > indicates that professor Sipser was agreeing
 >  > to hypotheticals AS *NOT CHANGING THE INPUT*
 >  >
 >  > You are taking
 >  > *WOULD NEVER STOP RUNNING UNLESS*
 >  > to mean *NEVER STOPS RUNNING* that is incorrect.
 >
 > And has made no attempt after over 9 hours to show where in the Intel
 > instruction manual that execution is allowed to stop after any
 > instruction other than HLT.
 >
 > Therefore, as per the above criteria:
 >
 > LET THE RECORD SHOW
 >
 > That Peter Olcott
 >
 > Has *officially* admitted
 >
 > That DD is NOT correctly simulated by HHH

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#118606

FromRichard Damon <richard@damon-family.org>
Date2025-05-11 21:13 -0400
Message-ID<faa0eeeda0e841eacce5537fc2a994b6be9d73f9@i2pn2.org>
In reply to#118594
On 5/11/25 8:41 PM, olcott wrote:
> On 5/11/2025 6:45 PM, Richard Damon wrote:
>> On 5/11/25 7:14 PM, olcott wrote:
>>> On 5/11/2025 6:05 PM, Keith Thompson wrote:
>>>> Mr Flibble <flibble@red-dwarf.jmc.corp> writes:
>>>>> On Sun, 11 May 2025 18:15:47 +0100, Richard Heathfield wrote:
>>>>>
>>>>>> On 11/05/2025 17:59, Mr Flibble wrote:
>>>>>>> it is impossible to obtain a halting result
>>>>>>
>>>>>>
>>>>>> That sure looks like a concession that it's impossible to devise an
>>>>>> algorithm that will produce a halting result.
>>>>>>
>>>>>> Well done. We got you there in the end.
>>>>>
>>>>> No. The reason why it is impossible to obtain a halting result for
>>>>> pathological input is not the reason proposed by Turing (i.e. self-
>>>>> referential diagonalization), it is impossible to obtain a halting 
>>>>> result
>>>>> for pathological input because the self-referential conflation of 
>>>>> decider
>>>>> and input is a category error that prevents us from performing
>>>>> diagonalization.
>>>>
>>>> Is it possible to determine whether a given input is "pathological" 
>>>> or not?
>>>>
>>>>> To usefully advance research in this area pathological input needs 
>>>>> to be
>>>>> excluded from the set of programs that can be analysed by a decider.
>>>>
>>>> Can this exclusion be performed reliably and consistently?
>>>>
>>>
>>> That is a good question. The answer is definitely
>>> yes. When HHH emulates DDD it only needs to see
>>> that DDD is calling itself with no conditional branch
>>> instructions inbetween.
>>>
>>> Whether a function computed by a Turing machine can
>>> do this is a different question.
>>>
>>
>> So, try to do it.
>>
> 
> No need to. DDD emulated by HHH according to the
> rules of the computational language that DD is
> encoded within already proves that the HP
> "impossible" input specifies a non-halting
> sequence of configurations.

So, you are admitting you can't.

The rules of computation language say that HHH must be a funciton of 
*OMLY* it explict input, and thus for HHH to actually emulate DDD, then 
the HHH that DDD calls must be part of the input (and part of DDD).

Since none of your HHH's that give an answer actually DO a correct 
emulation, and that is the only kind really accept by computational 
language (without the EXPLICT partial modifier), your statement is just 
a NULL statement that doesn't say anything.

Since the CORRECT emulation of DDD by the rules you require (minus the 
invalid restriction that it be by a machine that can't do it) shows that 
DDD WILL halt for any of your HHH that return an answer, so every 
HHH(DDD) that returns 0 is just wrong.

> 
> This by itself is much more progress than anyone
> else has ever made on the halting problem.
> 

Nope, as it is just lies.

> To the best of my recollection
> Mike has already agreed that the outermost HHH
> can dig into the details of all of the levels
> of recursive simulation to get the details that
> it currently uses. All of these details are
> merely data to this outermost HHH.
> 
> This is analogous to a master UTM examining
> all of its own tape, even those portions that
> are allocated to slave UTMs.
> 

Which doesn't help, since you don't actually have any UTMs. Remember, BY 
DEFINITON, a UTM just reproduces the behavior of the machine described 
by its input. Not report what it does, but to DO it. So, BY DEFINITION, 
a UTM given a non-halting input, can not halt. And thus, a UTM can't be 
used as a decider if the input can be a non-halting program, and thus 
worthless as a Halt Decider.

Remember, one way of stateing the requirements of a Halt Decider is that 
H(D) returns "Halting" if UTM(D) will halt, and "Non-Halting" if UTM(D) 
will not halt. THis does not mean change D to use UTM, it mean the exact 
D that was given to H is given to UTM, and NONE of the code used by it 
changes.

The fact that you model can't seem to handle that just shows your model 
is incorrect.

And yes, the outer Decider can try to understand the contents and 
meaning of the tape of the machine it is emulating, but first you have 
to show how it recognizes that machine, when you don't put non-Turing 
Complete limitations on your programs like you do. This means that DDD 
can have its own copy of HHH and thus HHH can't use its address as the 
test, and DDD needs to be able to make a copy of its input at another 
portion of the tape (new memory addresses in your system).

Try to allow that and see what you get. The fact that your system fails 
to be Turing Complete just proves that it can't be the equivalent of the 
systems in the proof.

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