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Re: The contradiction that the HP is predicated on is detectable ..

From André G. Isaak <agisaak@gm.invalid>
Newsgroups comp.theory
Subject Re: The contradiction that the HP is predicated on is detectable ..
Date 2021-07-27 13:58 -0600
Organization Christians and Atheists United Against Creeping Agnosticism
Message-ID <sdpoh7$dg2$1@dont-email.me> (permalink)
References <20210727183426.00002ff2@reddwarf.jmc> <sdpl8u$upe$1@gioia.aioe.org> <w-WdnVPJxdeRxp38nZ2dnUU7-XXNnZ2d@giganews.com>

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On 2021-07-27 13:14, olcott wrote:
> On 7/27/2021 2:02 PM, Peter wrote:
>> Mr Flibble wrote:
>>> .. due to the infinite recursion missed by Strachey blowing the stack of
>>> any turing machine simulator with finite memory (stack) size.  One
>>
>> Turing machines don't have stacks.  Stack machines have (of course) 
>> stacks of limitless length.
>>
> 
> Flibble's reasoning is correct, yet based on my 2016 reasoning.
> When the otherwise computationally equivalent TM counter-example cases 
> are translated into an architecture having finite resources running out 
> of stack memory would indicate infinite recursion.

No it wouldn't. One can easily envision calculations which require 
enormous amounts of stack space (more than any current computer) yet are 
still finite.

Consider a recursive implementation of the factorial function which 
accepts and returns unbounded integers (i.e strings of hexadecimal 
digits of unlimited length). Do you think that 
Factorial(Factorial(Factorial 123456789))) would have sufficient stack 
space? Probably not, but it is still finite.

André

-- 
To email remove 'invalid' & replace 'gm' with well known Google mail 
service.

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Thread

The contradiction that the HP is predicated on is detectable .. Mr Flibble <flibble@reddwarf.jmc> - 2021-07-27 18:34 +0100
  Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 12:59 -0500
  Re: The contradiction that the HP is predicated on is detectable .. Peter <peterxpercival@hotmail.com> - 2021-07-27 20:02 +0100
    Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 14:14 -0500
      Re: The contradiction that the HP is predicated on is detectable .. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-27 12:23 -0700
        Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 14:36 -0500
      Re: The contradiction that the HP is predicated on is detectable .. Peter <peterxpercival@hotmail.com> - 2021-07-27 20:46 +0100
        Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 17:13 -0500
          Re: The contradiction that the HP is predicated on is detectable .. Richard Damon <Richard@Damon-Family.org> - 2021-07-27 15:56 -0700
            Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 18:06 -0500
              Re: The contradiction that the HP is predicated on is detectable .. Richard Damon <Richard@Damon-Family.org> - 2021-07-27 16:17 -0700
      Re: The contradiction that the HP is predicated on is detectable .. Mr Flibble <flibble@reddwarf.jmc> - 2021-07-27 20:47 +0100
        Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 16:06 -0500
          Re: The contradiction that the HP is predicated on is detectable .. Mr Flibble <flibble@reddwarf.jmc> - 2021-07-28 17:35 +0100
            Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-28 12:31 -0500
      Re: The contradiction that the HP is predicated on is detectable .. André G. Isaak <agisaak@gm.invalid> - 2021-07-27 13:58 -0600
        Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 17:13 -0500
      Re: The contradiction that the HP is predicated on is detectable .. Richard Damon <news.x.richarddamon@xoxy.net> - 2021-07-27 13:05 -0700
        Re: The contradiction that the HP is predicated on is detectable .. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-27 13:11 -0700
      Re: The contradiction that the HP is predicated on is detectable .. Jeff Barnett <jbb@notatt.com> - 2021-07-27 15:04 -0600
        Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-27 16:56 -0500
          Re: The contradiction that the HP is predicated on is detectable .. Jeff Barnett <jbb@notatt.com> - 2021-07-28 00:44 -0600
            Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-28 08:57 -0500
        Re: The contradiction that the HP is predicated on is detectable .. Mr Flibble <flibble@reddwarf.jmc> - 2021-07-28 17:36 +0100
          Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-28 12:33 -0500
          Re: The contradiction that the HP is predicated on is detectable .. Jeff Barnett <jbb@notatt.com> - 2021-07-28 11:40 -0600
            Re: The contradiction that the HP is predicated on is detectable .. olcott <NoOne@NoWhere.com> - 2021-07-28 12:53 -0500
              Re: The contradiction that the HP is predicated on is detectable .. Richard Damon <Richard@Damon-Family.org> - 2021-07-28 11:25 -0700

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