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Groups > comp.theory > #49845

Re: On Strachey

From Mr Flibble <flibble@reddwarf.jmc>
Newsgroups comp.theory
Subject Re: On Strachey
Message-ID <20220506145944.000060bd@reddwarf.jmc> (permalink)
References <20220505204551.00001f5f@reddwarf.jmc> <t536lp$uu9$1@dont-email.me>
Organization Jupiter Mining Corp
Date 2022-05-06 14:59 +0100

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On Fri, 6 May 2022 16:09:13 +0300
Mikko <mikko.levanto@iki.fi> wrote:

> On 2022-05-05 19:45:51 +0000, Mr Flibble said:
> 
> > Strachey's "Impossible Program" [Strachey, 1965] is indeed
> > impossible but not for the reason Strachey suggests. Strachey's
> > impossible program is impossible not due to the contradiction he
> > posits but is instead impossible due to an invalid infinite
> > recursion (a category error in this case) which prevents the
> > contradiction from ever being realised. As Strachey claims his
> > "Impossible Program" proof is based on communication he had with
> > Turing it seems reasonable to assume that Turing's proof has the
> > same flaw.  
> 
> A category error does not lead to an infinite recursion. A category
> error is detected by the compiler, which then doesn't compile it, so
> no recursion is executed.

The category error (as an invalid infinite recursion) is in the
definition of the proof itself: it is NOT some function call-like
infinite recursion that gets executed at runtime.
 
> An infinite recursion typically results in a stack overflow abort but
> sometimes can be a valid structure in a program. Some programs are
> required to never stop and an infinite tail recursion may be one way
> to achieve that.

As I said the category error is not runtime function call-like infinite
recursion.

/Flibble

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Thread

On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 20:45 +0100
  Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-05 16:30 -0500
    Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 22:39 +0100
      Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-05 16:48 -0500
        Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 22:53 +0100
          Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-05 17:18 -0500
            Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-06 02:34 +0100
              Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-05 20:40 -0500
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-06 03:53 +0100
              Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 02:59 +0100
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-06 03:50 +0100
                Re: On Strachey Jeff Barnett <jbb@notatt.com> - 2022-05-05 23:01 -0600
                Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 15:42 +0100
                Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 14:56 +0100
                Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 11:58 -0500
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-07 01:11 +0100
                Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 19:31 -0500
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-07 02:07 +0100
                Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 20:34 -0500
                Re: On Strachey Richard Damon <Richard@Damon-Family.org> - 2022-05-06 23:08 -0400
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-07 23:47 +0100
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-07 18:14 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-07 16:35 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-07 19:19 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-07 17:48 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-07 20:08 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-07 18:26 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-07 21:20 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-07 19:36 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 10:31 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 09:02 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 11:05 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 09:30 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 11:39 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 09:52 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 12:18 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 10:26 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 15:17 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 13:27 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 15:51 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 13:59 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 16:19 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 14:30 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 17:24 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 15:56 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 18:13 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 16:44 -0700
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:52 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:50 -0400
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 14:51 -0700
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 14:53 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 17:18 -0500
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 15:34 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 17:44 -0500
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 15:53 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 18:03 -0500
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 16:11 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 18:19 -0500
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 16:23 -0700
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 18:30 -0500
                Re: On Strachey [ How nuts is that? ] wij <wyniijj2@gmail.com> - 2022-05-09 16:42 -0700
                Re: On Strachey [ How nuts is that? ][ proof that I am correct ] olcott <NoOne@NoWhere.com> - 2022-05-10 07:16 -0500
                Re: On Strachey [ How nuts is that? ][ proof that I am correct ] Richard Damon <Richard@Damon-Family.org> - 2022-05-10 19:23 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 20:02 -0400
                Re: On Strachey [ How nuts is that? ] Jeff Barnett <jbb@notatt.com> - 2022-05-09 16:12 -0600
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 17:36 -0500
                Re: On Strachey [ How nuts is that? ] Jeff Barnett <jbb@notatt.com> - 2022-05-09 20:13 -0600
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 23:39 -0400
                Re: On Strachey [ How nuts is that? ] olcott <NoOne@NoWhere.com> - 2022-05-09 22:22 -0500
                Re: On Strachey [ How nuts is that? ] Dennis Bush <dbush.mobile@gmail.com> - 2022-05-09 20:48 -0700
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:43 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:40 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:39 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-09 19:37 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-07 21:09 -0400
                Re: On Strachey [ How nuts is that? ] Richard Damon <Richard@Damon-Family.org> - 2022-05-07 21:22 -0400
                Re: On Strachey [ How nuts is that? ] Ben <ben.usenet@bsb.me.uk> - 2022-05-08 00:46 +0100
                Re: On Strachey Ben <ben.usenet@bsb.me.uk> - 2022-05-07 00:58 +0100
  Re: On Strachey Mikko <mikko.levanto@iki.fi> - 2022-05-06 16:09 +0300
    Re: On Strachey Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 14:59 +0100
      Re: On Strachey Mikko <mikko.levanto@iki.fi> - 2022-05-06 19:16 +0300
        Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 11:49 -0500
      Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 12:10 -0500
    Re: On Strachey olcott <polcott2@gmail.com> - 2022-05-06 12:34 -0500

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