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Re: A new module for performing tail-call elimination

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From Ian Kelly <ian.g.kelly@gmail.com>
Date Thu, 16 Jul 2015 10:17:09 -0600
Subject Re: A new module for performing tail-call elimination
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On Thu, Jul 16, 2015 at 3:28 AM, Robin Becker <robin@reportlab.com> wrote:
> ..........
>>
>>
>> The point is, people keep insisting that there are a vast number of
>> algorithms which are best expressed using recursion and which require TCO
>> to
>> be practical, and yet when asked for examples they either can't give any
>> examples at all, or they give examples that are not well-suited to
>> recursion. Or, at best, examples which are equally good when written
>> either
>> using recursion or iteration.
>>
>> I do believe that such examples surely must exist. But I'm yet to see one.
>
> ....
> I believe the classic answer is Ackermann's function
>
> http://demonstrations.wolfram.com/RecursionInTheAckermannFunction/
>
> which is said to be not "primitive recursive" ie cannot be unwound into
> loops; not sure whether that implies it has to be recursively defined or can
> perhaps be broken down some other way.

My recollection -- and it's been awhile since I've studied
computability theory so I may be distorting things here -- is that
primitive recursive functions can be computed using for loops, i.e.
loops where the number of iterations is bounded in advance, whereas
non-primitive recursive functions require while loops.

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Thread

A new module for performing tail-call elimination "Th. Baruchel" <baruchel@no.spam.gmx.dot.com> - 2015-07-13 15:44 +0000
  Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-15 11:29 +0200
    Re: A new module for performing tail-call elimination Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-07-16 18:07 +1000
      Re: A new module for performing tail-call elimination Robin Becker <robin@reportlab.com> - 2015-07-16 10:13 +0100
      Re: A new module for performing tail-call elimination Robin Becker <robin@reportlab.com> - 2015-07-16 10:28 +0100
        Re: A new module for performing tail-call elimination Marko Rauhamaa <marko@pacujo.net> - 2015-07-16 12:56 +0300
      Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 12:41 +0200
        Re: A new module for performing tail-call elimination Steven D'Aprano <steve@pearwood.info> - 2015-07-17 04:58 +1000
          Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-17 11:00 +0200
      Re: A new module for performing tail-call elimination Chris Angelico <rosuav@gmail.com> - 2015-07-16 21:11 +1000
      Re: A new module for performing tail-call elimination Jeremy Sanders <jeremy@jeremysanders.net> - 2015-07-16 13:29 +0200
      Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 15:35 +0200
      Re: A new module for performing tail-call elimination Chris Angelico <rosuav@gmail.com> - 2015-07-16 23:47 +1000
        Re: A new module for performing tail-call elimination Paul Rubin <no.email@nospam.invalid> - 2015-07-17 20:06 -0700
      Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 16:21 +0200
      Re: A new module for performing tail-call elimination Chris Angelico <rosuav@gmail.com> - 2015-07-17 00:27 +1000
      Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 17:14 +0200
      Re: A new module for performing tail-call elimination Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-16 10:17 -0600
      Re: A new module for performing tail-call elimination Ethan Furman <ethan@stoneleaf.us> - 2015-07-16 10:54 -0700
      Re: A new module for performing tail-call elimination Ethan Furman <ethan@stoneleaf.us> - 2015-07-16 11:02 -0700
      Re: A new module for performing tail-call elimination Terry Reedy <tjreedy@udel.edu> - 2015-07-16 15:45 -0400
      Re: A new module for performing tail-call elimination Ethan Furman <ethan@stoneleaf.us> - 2015-07-16 12:58 -0700
      Re: A new module for performing tail-call elimination Robin Becker <robin@reportlab.com> - 2015-07-17 09:57 +0100
    Re: A new module for performing tail-call elimination Alain Ketterlin <alain@universite-de-strasbourg.fr.invalid> - 2015-07-16 13:23 +0200
  Re: A new module for performing tail-call elimination Terry Reedy <tjreedy@udel.edu> - 2015-07-15 17:19 -0400
  Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 09:45 +0200
  Re: A new module for performing tail-call elimination Terry Reedy <tjreedy@udel.edu> - 2015-07-16 15:34 -0400
    Re: A new module for performing tail-call elimination Marko Rauhamaa <marko@pacujo.net> - 2015-07-16 22:45 +0300
      Re: A new module for performing tail-call elimination Terry Reedy <tjreedy@udel.edu> - 2015-07-17 15:47 -0400
        Re: A new module for performing tail-call elimination Marko Rauhamaa <marko@pacujo.net> - 2015-07-17 23:55 +0300
          Re: A new module for performing tail-call elimination Terry Reedy <tjreedy@udel.edu> - 2015-07-17 20:40 -0400
            Re: A new module for performing tail-call elimination Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-19 10:39 +1200
          Re: A new module for performing tail-call elimination Chris Angelico <rosuav@gmail.com> - 2015-07-18 10:47 +1000
          Re: A new module for performing tail-call elimination Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-19 10:39 +1200
      Re: A new module for performing tail-call elimination Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-19 10:39 +1200
        Re: A new module for performing tail-call elimination Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-07-19 01:09 +0100
        Re: A new module for performing tail-call elimination MRAB <python@mrabarnett.plus.com> - 2015-07-19 01:19 +0100
        Re: A new module for performing tail-call elimination Marko Rauhamaa <marko@pacujo.net> - 2015-07-19 09:29 +0300
  Re: A new module for performing tail-call elimination Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-17 10:06 +0200

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