Re: Halting Problem Solved? (Black Box Decider Theory) V2

From	"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups	comp.theory
Subject	Re: Halting Problem Solved? (Black Box Decider Theory) V2
Date	2021-07-17 14:17 -0700
Organization	Aioe.org NNTP Server
Message-ID	<scvhd6$1ssk$1@gioia.aioe.org> (permalink)
References	(8 earlier) <20210717153827.00006057@reddwarf.jmc> <dd09ea79-1e68-476a-8bf0-407341d5bd56n@googlegroups.com> <20210717161250.00006fab@reddwarf.jmc> <96f2ae27-54db-47c9-8401-3cf6efa4d121n@googlegroups.com> <20210717162805.000040d0@reddwarf.jmc>

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On 7/17/2021 8:28 AM, Mr Flibble wrote:
> On Sat, 17 Jul 2021 08:25:12 -0700 (PDT)
> wij <wyniijj@gmail.com> wrote:
> 
>> On Saturday, 17 July 2021 at 23:12:51 UTC+8, Mr Flibble wrote:
>>> On Sat, 17 Jul 2021 08:04:56 -0700 (PDT)
>>> wij <wyn...@gmail.com> wrote:
>>>    
>>>> On Saturday, 17 July 2021 at 22:38:30 UTC+8, Mr Flibble wrote:
>>>>> On Sat, 17 Jul 2021 14:34:53 -0000 (UTC)
>>>>> Alan Mackenzie <a...@muc.de> wrote:
>>>>>    
>>>>>> Mr Flibble <fli...@reddwarf.jmc> wrote:
>>>>>>> On Sat, 17 Jul 2021 14:20:42 -0000 (UTC)
>>>>>>> Alan Mackenzie <a...@muc.de> wrote:
>>>>>>    
>>>>>>>> Mr Flibble <fli...@reddwarf.jmc> wrote:
>>>>>>>>> On Sat, 17 Jul 2021 13:59:02 -0000 (UTC)
>>>>>>>>> Alan Mackenzie <a...@muc.de> wrote:
>>>>>>    
>>>>>>>>>> Mr Flibble <fli...@reddwarf.jmc> wrote:
>>>>>>>>>>> On Sat, 17 Jul 2021 13:22:56 -0000 (UTC)
>>>>>>>>>>> Alan Mackenzie <a...@muc.de> wrote:
>>>>>>>>>>>> Not really - you don't have a universal halting
>>>>>>>>>>>> decider here by design. And even if you did, the
>>>>>>>>>>>> signature wouldn't do anything to prevent the
>>>>>>>>>>>> existence of the programs which have an "invalid
>>>>>>>>>>>> relationship" with D.
>>>>>>    
>>>>>>>>>>> The point is that this "invalid relationship" is
>>>>>>>>>>> DETECTABLE by the black box decider.
>>>>>>    
>>>>>>>>>> I think, but I'm not sure, that such relationships
>>>>>>>>>> cannot be detected, that it's another one of these
>>>>>>>>>> limitation theorems. Ben could probably say more on
>>>>>>>>>> this.
>>>>>>    
>>>>>>>>>>> This "invalid relationship" only exists for programs
>>>>>>>>>>> which are deliberately designed to defeat the decider
>>>>>>>>>>> ....
>>>>>>    
>>>>>>>>>> Not at all. There will be random programs, not
>>>>>>>>>> deliberately designed, which will also have such a
>>>>>>>>>> relationship with the purported decider.
>>>>>>    
>>>>>>>>>>> .... which are uninteresting cases because presumably
>>>>>>>>>>> we are using a decider to decide legitimate programs
>>>>>>>>>>> that have serve some useful purpose beyond the HP
>>>>>>>>>>> itself.
>>>>>>    
>>>>>>>>>> Then you're not talking about the standard halting
>>>>>>>>>> problem. That shows the impossibility of a decider
>>>>>>>>>> which can decide ANY program. If you limit the scope of
>>>>>>>>>> the programs handled, then you might well construct a
>>>>>>>>>> practically useful partial decider. Difficult, but
>>>>>>>>>> possible. There are probably theorems about the sort of
>>>>>>>>>> things that are possible here, but I don't know them.
>>>>>>    
>>>>>>>>>> None of this has any relevance for the theoremhood of
>>>>>>>>>> the halting problem result itself.
>>>>>>    
>>>>>>>>> Disagree: having a third result for invalid pathological
>>>>>>>>> programs whilst novel is still a result, i.e. a decision
>>>>>>>>> reached in finite time.
>>>>>>    
>>>>>>>> Let me stress again that there is nothing invalid or
>>>>>>>> pathological about these programs, and they can run and
>>>>>>>> halt or not halt like any other program. It is only in
>>>>>>>> their relationship with H where they are special, in that
>>>>>>>> H is unable to determine their halting status correctly.
>>>>>>    
>>>>>>>> That's assuming it's possible for H to single out such
>>>>>>>> programs. I don't know if this is possible in the general
>>>>>>>> case, but I suspect it's not. Again, Ben or Richard might
>>>>>>>> know more about this.
>>>>>>    
>>>>>>>> But all this is moving away from the halting problem.
>>>>>>    
>>>>>>> Disagree: as the decider is a black box if it can always
>>>>>>> detect when it is being invoked, either directly by the
>>>>>>> trusted operator or indirectly by P which does not have the
>>>>>>> trusted operator's private key in order to digitally sign P
>>>>>>> and I that is passed to the decider.
>>>>>>
>>>>>> P might contain a copy of D's algorithm (with or without the
>>>>>> key stuff), and indeed P might contain a copy of the private
>>>>>> key. Such programs _exist_, whether or not we could as humans
>>>>>> create them. As I say, I don't think it's possible for D to
>>>>>> detect an algorithm which does the same as D.
>>>>>>
>>>>>> But in any case, D is not behaving as a universal halting
>>>>>> detector, in that it doesn't return halts/doesn't halt for
>>>>>> all input programs.
>>>>> I suggest you read up on what constitutes a black box: if the
>>>>> black box's algorithm has been copied then it is no longer a
>>>>> black box.
>>>>>
>>>>> https://en.wikipedia.org/wiki/Black_box
>>>>>
>>>>> /Flibble
>>>>
>>>> Quote carefully, kid. You do not seem to read it.
>>>> ...a black box is a system which can be viewed in terms of its
>>>> inputs and outputs (or transfer characteristics),...
>>>>
>>>> This is illustrated in Example 2
>>>> https://groups.google.com/g/comp.theory/c/3yP71I5puns
>>> What you quoted does NOT contradict what I said. If you don't have
>>> anything of value to add to the discussion then it is best to just
>>> keep your fucking mouth shut.
>>>
>>> /Flibble
>>
>> Feel losed? Be happy.
>>
>> A black box program can be copied, reused by invoking...etc.
>>
>> This is illustrated in Example 2 (do not feel shy)
>> https://groups.google.com/g/comp.theory/c/3yP71I5puns
> 
> Except you are ignoring the fact that a digital signature from a
> trusted operator is one of the parameters to the black box so it cannot
> be "re-used by invoking etc" unless you have the trusted operator's
> private key. Again: best to keep your fucking mouth shut if you have
> nothing of value to add, pal.

For some reason you are making me think of fuzzy bits for copy protection:

http://dmweb.free.fr/?q=node/210
(read all...)

;^)

Thread

Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 13:50 +0100
  Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 13:22 +0000
    Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 14:37 +0100
      Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 13:59 +0000
        Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:06 +0100
          Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 09:17 -0500
          Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 14:20 +0000
            Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:24 +0100
              Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 14:34 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:38 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 14:45 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:53 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 15:12 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) [ Rice's Theorem ] olcott <NoOne@NoWhere.com> - 2021-07-17 11:53 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-17 20:38 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 wij <wyniijj@gmail.com> - 2021-07-17 08:04 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 16:12 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 wij <wyniijj@gmail.com> - 2021-07-17 08:25 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 16:28 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 wij <wyniijj@gmail.com> - 2021-07-17 08:37 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 11:58 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-17 14:17 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 11:23 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 17:45 +0100
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 12:08 -0500
            Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 11:17 -0500
              Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 20:05 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 15:19 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-17 20:51 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 16:48 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-18 10:57 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Richard Damon <Richard@Damon-Family.org> - 2021-07-18 07:36 -0600
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-19 08:58 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Richard Damon <Richard@Damon-Family.org> - 2021-07-19 08:23 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-19 18:20 +0000
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-20 08:25 -0500
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Alan Mackenzie <acm@muc.de> - 2021-07-20 17:35 +0000
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 13:26 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Alan Mackenzie <acm@muc.de> - 2021-07-20 18:53 +0000
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 14:04 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 12:27 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 13:49 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 17:14 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 16:27 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 18:20 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 18:34 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 21:04 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 20:24 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 22:06 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 20:21 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 21:26 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 22:53 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 22:02 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) olcott <NoOne@NoWhere.com> - 2021-07-20 23:24 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 22:12 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 23:32 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ DOES NOT HOLD ] olcott <NoOne@NoWhere.com> - 2021-07-21 09:11 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ DOES NOT HOLD ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 10:03 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ DOES NOT HOLD ] olcott <NoOne@NoWhere.com> - 2021-07-21 11:11 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ DOES NOT HOLD ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 10:42 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ DOES NOT HOLD ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 10:16 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 21:23 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 11:45 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 10:22 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-21 12:23 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 10:41 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 12:26 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-21 13:54 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 13:26 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-21 14:44 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 12:56 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 15:09 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-21 16:29 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 15:02 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-21 21:08 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 12:55 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 11:29 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 12:51 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 12:19 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 13:49 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 13:22 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 14:43 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 13:12 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ][ADD] olcott <NoOne@NoWhere.com> - 2021-07-21 16:07 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ][ADD] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 14:32 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ][ADD] olcott <NoOne@NoWhere.com> - 2021-07-21 16:50 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ][ADD] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 15:07 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 15:06 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 16:22 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 14:38 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 15:57 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 17:21 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 15:53 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] André G. Isaak <agisaak@gm.invalid> - 2021-07-21 16:59 -0600
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 20:21 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 18:53 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 13:07 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] olcott <NoOne@NoWhere.com> - 2021-07-21 15:29 -0500
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) [ Paradox rather than contradiction ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 14:08 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 19:33 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 18:07 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 12:14 -0700
                Re: Halting Problem Solved? ( H(P,P)==0 is correct ) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 12:06 -0700
                Re: Halting Problem Solved? (Black Box Decider Theory) V2 Richard Damon <Richard@Damon-Family.org> - 2021-07-20 10:39 -0700
          Re: Halting Problem Solved? (Black Box Decider Theory) V2 Andy Walker <anw@cuboid.co.uk> - 2021-07-17 15:55 +0100
      Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 09:18 -0500
        Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:20 +0100
          Re: Halting Problem Solved? (Black Box Decider Theory) V2 olcott <NoOne@NoWhere.com> - 2021-07-17 11:13 -0500
  Re: Halting Problem Solved? (Black Box Decider Theory) V2 wij <wyniijj@gmail.com> - 2021-07-17 06:57 -0700
    Re: Halting Problem Solved? (Black Box Decider Theory) V2 Mr Flibble <flibble@reddwarf.jmc> - 2021-07-17 15:17 +0100
      Re: Halting Problem Solved? (Black Box Decider Theory) V2 wij <wyniijj@gmail.com> - 2021-07-17 07:36 -0700

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