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Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ]

From Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups comp.theory
Subject Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ]
Followup-To comp.theory
Date 2021-07-30 21:47 +0100
Organization A noiseless patient Spider
Message-ID <87o8ajleao.fsf@bsb.me.uk> (permalink)
References <29qdnTcRYNdXn5n8nZ2dnUU7-LfNnZ2d@giganews.com> <87v94rzye7.fsf@bsb.me.uk> <z9mdnaGTLJUagJn8nZ2dnUU7-W3NnZ2d@giganews.com> <87bl6jmzcb.fsf@bsb.me.uk> <ndednaSwVuJe1Zn8nZ2dnUU7-XXNnZ2d@giganews.com>

Followups directed to: comp.theory

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olcott <NoOne@NoWhere.com> writes:

> On 7/30/2021 1:27 PM, Ben Bacarisse wrote:
>> olcott <NoOne@NoWhere.com> writes:
>> 
>>> On 7/30/2021 9:09 AM, Ben Bacarisse wrote:
>>>> olcott <NoOne@NoWhere.com> writes:
>>>> I have trivial implementations of the functions you are hiding that give
>>>> exactly those results.  I don't think I've "defeated Rice" but perhaps
>>>> you should worry that someone else will come up with the H and H2 I have
>>>> and publish first!
>>>
>>> Yet those trivial implementations do not have complete execution
>>> traces showing that a partial halt decider does correctly decide the
>>> halt status of its input.
>> My point was that what you posted proves nothing.  You need to post code
>> and then prove that it decides a "non-trivial" property of Turing
>> machines. 
>
> In prior conversations long ago it has been established that dividing
> inputs having pathological self-reference(Olcott 2004) from ones that
> do not does refute Rice's theorem.

Then go ahead and post the code and the proof that it decides a
non-trivial property of computations (note the plural).

> A very careful study on the x86 assembly language execution trace does
> prove that H/H2 does decide its inputs correctly.

A trace of some code correctly deciding some non-trivial property of
some other code does not refute Rice's theorem.  You need to lean the
theorem.

>>> machine stack stack machine assembly
>>> address address data code language
>>> ======== ======== ======== ========= =============
>>> ...[00000cd2][001017ed][00000000] 55 push ebp
>> No execution trace can prove what you claimed either.  If you want to
>> know why, just ask.  I think you need to learn Rice's theorem all over
>> again.
>
> Why do you believe that an execution trace does not prove that H/H2
> did decide their inputs correctly?

It does not matter what the trace shows.  The trace can show some code
deciding absolutely anything, either correctly or incorrectly, and still
not refute Rice's theorem.  Rice's theorem is about the decidability of
sets.

-- 
Ben.

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Thread

Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 08:46 -0500
  Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-30 15:09 +0100
    Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 10:40 -0500
      Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-30 19:27 +0100
        Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 13:45 -0500
          Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-07-30 13:28 -0700
          Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-30 21:47 +0100
            Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 16:43 -0500
              Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <news.x.richarddamon@xoxy.net> - 2021-07-30 14:51 -0700
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 16:59 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-07-30 15:21 -0700
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 17:45 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-30 16:32 -0700
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 18:44 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-07-30 17:25 -0700
              Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-31 23:17 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-31 21:34 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-01 11:22 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-08-01 23:07 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-02 17:32 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-08-02 13:37 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-03 01:25 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-08-02 20:02 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-03 02:58 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-08-02 21:26 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2021-08-03 04:10 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-08-02 22:39 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-08-02 22:29 -0700
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-08-04 19:45 +0100
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-08-02 22:22 -0700
  Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 11:06 -0600
    Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 12:11 -0500
      Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 15:46 -0600
        Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 16:53 -0500
          Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 16:13 -0600
            Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 17:43 -0500
              Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 17:01 -0600
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 17:18 -0600
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 18:34 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 20:05 -0600
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 21:33 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] André G. Isaak <agisaak@gm.invalid> - 2021-07-30 21:09 -0600
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-30 22:23 -0500
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Richard Damon <Richard@Damon-Family.org> - 2021-07-30 20:57 -0700
                Re: Pathological self-reference(Olcott 2004) decider [ Defeating Rice's Theorem ] Jeff Barnett <jbb@notatt.com> - 2021-07-30 22:26 -0600

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