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Re: Validating that the implementation meets the spec for TM transition function

From Ben <ben.usenet@bsb.me.uk>
Newsgroups comp.theory
Subject Re: Validating that the implementation meets the spec for TM transition function
Date 2022-05-11 00:11 +0100
Organization A noiseless patient Spider
Message-ID <87h75xkmor.fsf@bsb.me.uk> (permalink)
References (16 earlier) <adebc02c-f8fc-429d-8fbd-6edbebac533an@googlegroups.com> <874k1xmy1v.fsf@bsb.me.uk> <TKmdnVOs6o68z-f_nZ2dnUU7_83NnZ2d@giganews.com> <87sfphl7iv.fsf@bsb.me.uk> <20220510190118.00006b59@reddwarf.jmc>

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Mr Flibble <flibble@reddwarf.jmc> writes:

> On Tue, 10 May 2022 16:41:28 +0100
> Ben <ben.usenet@bsb.me.uk> wrote:
>
>> olcott <NoOne@NoWhere.com> writes:
>> 
>> > On 5/10/2022 6:23 AM, Ben wrote:  
>> >> Malcolm McLean <malcolm.arthur.mclean@gmail.com> writes:
>> >>   
>> >>> On Tuesday, 10 May 2022 at 11:31:46 UTC+1, Ben wrote:  
>> >>>> olcott <No...@NoWhere.com> writes:
>> >>>>  
>> >>>>> On 5/9/2022 7:13 PM, Ben wrote:  
>> >>>>>> olcott <No...@NoWhere.com> writes:
>> >>>>>>  
>> >>>>>>> On 5/9/2022 5:14 PM, Ben wrote:  
>> >>>>>>>> olcott <No...@NoWhere.com> writes:
>> >>>>>>>>  
>> >>>>>>>>> On 5/8/2022 1:27 PM, Ben wrote:  
>> >>>>>>>>  
>> >>>>>>>>>> My code is utterly trivial. The tape is a std::string to
>> >>>>>>>>>> which I assign the input. All that happens after that is
>> >>>>>>>>>> that tape[head] is assigned to, and the string is grown by
>> >>>>>>>>>> one blank, either at the front or the back, if the tape
>> >>>>>>>>>> movement requires it.  
>> >>>>>>>>>
>> >>>>>>>>> Conventionally tapes have an actual beginning, yet no fixed
>> >>>>>>>>> end.  
>> >>>>>>>>
>> >>>>>>>> No.  
>> >>>>>>>
>> >>>>>>> Sipser and Kozen agree with me, Linz agrees with you.  
>> >>>>>>
>> >>>>>> None of these authors say what is "conventional". What is
>> >>>>>> certain is that if there were a convention, an author not
>> >>>>>> using that convention should say as much. You'll find,
>> >>>>>> however, that that is not the case.  
>> >>>>>
>> >>>>> How would you define conventional?  
>> >>>>
>> >>>> "the accepted or traditional method of doing something"
>> >>>>  
>> >>>>> The most typical use is one way unlimited, right?  
>> >>>>
>> >>>> I don't know. I know it's not a widely agreed convention, but
>> >>>> what it "typical" is hard to assess. I think double-open is more
>> >>>> commonly used in modern presentations, but the only real way to
>> >>>> know would be to do a survey and I don't think the topic merits
>> >>>> that.
>> >>>>
>> >>>>  From a technical point of view, double-open is clearly
>> >>>> preferable as it removes a special case with no technical
>> >>>> down-side. 
>> >>> There's a technical downside if you implement the tape in the
>> >>> obvious way, as a dynamic buffer. Most languages make it quite
>> >>> fast to append characters to the buffer's end.  
>> >> I meant for the theory of such machines.  It's the theory and the
>> >> theorems that will dictate which style an authors chooses and
>> >> there's no down-side in that context.
>> >>   
>> >>> There's usually spare memory there in the system, so
>> >>> the push_back() operation is just a case of incrementing a size
>> >>> field.  
>> >> If you do the resizing right, the same is true of push_front().
>> >>   
>> >>> push_front(), however, generally requires a push_back, followed
>> >>> by a move for the entire buffer.  
>> >> Every now and then, your realloc will need an extra move, but
>> >> that's a cost that will be amortised if you do the usual
>> >> exponential resizing. 
>> >>> There are ways round this, of course, but you have to know what
>> >>> you are doing, and it's not as easy to write.  
>> >>
>> >> Gosh, you have a low opinion of what's generally understood!
>> >> Maybe I have too high an opinion, but growing a buffer at one or
>> >> other or even both ends seems to me to be utterly trivial.  
>> >
>> > https://en.cppreference.com/w/cpp/container/deque
>> > push_back adds an element to the end
>> > push_front inserts an element to the beginning  
>> 
>> I think everyone here knows that.
>> 
>> Using std::deque was suggested before (by Jeff I think), but at nearly
>> 200 million steps a second, I didn't think there was much room for a
>> speed-up.
>> 
>> I've just tried it, and using std::deque rather than std::string slows
>> my implementation down to 106 million steps a second, and it doesn't
>> simplify the logic at all.  In fact, the few places where you really
>> want a string get a bit more fiddly.
>> 
>> Mind you, the speed is almost irrelevant unless you are hunting for BB
>> champions.
>  
> std::string (or std::vector) will likely win for small N and std::deque
> for large N as far as push_front is concerned.

I'm sure that's true.  std::string /could/ be made fast for inserts at
position 0 (there is no push_front for a string) but I doubt that case
has been optimised.

But very long tapes will be rare though.  And for them to occur there
has to be quite of lots going back and forth as well so I'm not sure if
the tape growth cost will ever dominate.

My test case (BB(5)) ends up with a resulting tape of 12,289 characters,
and all but 45 of those were added at the front.  Of course, 12,289 is
not really a long string, and the vast majority of moves happened away
form the "ends".

-- 
Ben.

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Thread

Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 15:53 -0500
  Re: Validating that the implementation meets the spec for TM transition function Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 22:08 +0100
    Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 16:25 -0500
      Re: Validating that the implementation meets the spec for TM transition function Mr Flibble <flibble@reddwarf.jmc> - 2022-05-06 22:29 +0100
        Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 17:08 -0500
          Re: Validating that the implementation meets the spec for TM transition function Mr Flibble <flibble@reddwarf.jmc> - 2022-05-07 13:02 +0100
      Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-06 14:41 -0700
        Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 17:02 -0500
          Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-06 15:36 -0700
            Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 17:54 -0500
          Re: Validating that the implementation meets the spec for TM transition function Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-07 00:39 +0100
            Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 18:54 -0500
          Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 01:54 +0100
            Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 20:05 -0500
              Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 23:21 +0100
                Re: Validating that the implementation meets the spec for TM transition function Jeff Barnett <jbb@notatt.com> - 2022-05-07 19:57 -0600
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-08 07:34 -0400
                Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-08 05:11 -0700
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-08 14:20 -0400
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-08 19:59 +0100
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-09 03:14 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-08 22:39 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-09 12:36 +0100
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-08 14:44 +0100
                Re: Validating that the implementation meets the spec for TM transition function Jeff Barnett <jbb@notatt.com> - 2022-05-08 11:08 -0600
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-08 19:27 +0100
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-08 15:22 -0400
                Re: Validating that the implementation meets the spec for TM transition function Mr Flibble <flibble@reddwarf.jmc> - 2022-05-08 20:30 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 10:53 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-09 23:08 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 17:32 -0500
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-09 20:31 -0400
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 01:37 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 20:29 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 11:35 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape] olcott <NoOne@NoWhere.com> - 2022-05-10 19:12 -0500
                Re: Validating that the implementation meets the spec for TM transition function Jeff Barnett <jbb@notatt.com> - 2022-05-08 14:51 -0600
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 10:18 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-09 23:14 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 17:42 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 01:13 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 20:28 -0500
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-09 23:34 -0400
                Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-10 00:24 -0700
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 11:31 +0100
                Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-10 03:46 -0700
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 12:23 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 06:53 -0500
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-10 08:01 -0400
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-10 16:41 +0100
                Re: Validating that the implementation meets the spec for TM transition function Jeff Barnett <jbb@notatt.com> - 2022-05-10 11:56 -0600
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 19:43 -0500
                Re: Validating that the implementation meets the spec for TM transition function Jeff Barnett <jbb@notatt.com> - 2022-05-10 20:49 -0600
                Re: Validating that the implementation meets the spec for TM transition function Mr Flibble <flibble@reddwarf.jmc> - 2022-05-10 19:01 +0100
                Re: Validating that the implementation meets the spec for TM transition function "dklei...@gmail.com" <dkleinecke@gmail.com> - 2022-05-10 11:59 -0700
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 19:04 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-11 01:42 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-10 20:12 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-11 03:05 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-10 21:14 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-11 02:19 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 08:54 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-11 16:27 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 10:36 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-11 16:49 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-11 14:30 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 16:38 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-12 00:01 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 19:05 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-12 04:03 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 22:29 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 22:37 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 15:02 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-12 19:03 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 19:30 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 14:23 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-12 19:19 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-13 01:02 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Jeff Barnett <jbb@notatt.com> - 2022-05-11 23:13 -0600
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 00:43 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-11 04:02 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-10 22:07 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-11 13:40 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 09:02 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-11 16:09 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 10:29 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-11 20:35 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 15:12 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-11 22:54 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 17:02 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 02:00 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 20:37 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 02:49 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-11 21:49 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 14:45 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 10:31 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 21:20 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 15:33 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 21:36 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 16:28 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-12 22:33 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-12 22:02 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 16:14 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 00:18 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 18:22 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 01:10 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 19:58 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 02:54 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-12 22:09 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-12 21:41 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mikko <mikko.levanto@iki.fi> - 2022-05-13 10:01 +0300
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 10:57 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mikko <mikko.levanto@iki.fi> - 2022-05-13 19:06 +0300
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 11:54 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 13:38 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 11:07 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 17:14 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:03 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mr Flibble <flibble@reddwarf.jmc> - 2022-05-13 18:09 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:15 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 17:26 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:07 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 19:45 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 13:57 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 15:04 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 14:15 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 15:40 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 14:58 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 16:24 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 15:33 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 17:25 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:48 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 18:05 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 20:12 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 14:28 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 21:58 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:12 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 23:57 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 17:59 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:00 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:09 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 01:21 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-17 13:17 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-14 01:54 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-14 04:13 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-14 03:30 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-14 08:51 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-14 11:38 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-14 13:54 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 13:15 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-14 11:37 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2022-05-14 19:47 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-14 20:15 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-14 12:52 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ unlimited scalability ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:43 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ unlimited scalability ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 23:58 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ unlimited scalability ] olcott <NoOne@NoWhere.com> - 2022-05-13 18:03 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Jeff Barnett <jbb@notatt.com> - 2022-05-13 15:06 -0600
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 16:16 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Jeff Barnett <jbb@notatt.com> - 2022-05-13 17:48 -0600
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 19:06 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Jeff Barnett <jbb@notatt.com> - 2022-05-13 19:58 -0600
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 22:39 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Jeff Barnett <jbb@notatt.com> - 2022-05-13 19:48 -0600
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 11:00 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 12:08 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Ben <ben.usenet@bsb.me.uk> - 2022-05-13 17:27 +0100
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] olcott <NoOne@NoWhere.com> - 2022-05-13 12:10 -0500
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-13 13:20 -0400
                Re: Validating that the implementation meets the spec for TM transition function [ best tape ] Richard Damon <Richard@Damon-Family.org> - 2022-05-11 22:07 -0400
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 21:06 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-11 00:11 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 19:41 -0500
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-10 06:53 -0500
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-07 21:04 -0500
                Re: Validating that the implementation meets the spec for TM transition function Richard Damon <Richard@Damon-Family.org> - 2022-05-08 07:30 -0400
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-08 14:46 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 10:19 -0500
        Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 01:22 +0100
          Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 19:38 -0500
            Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 02:01 +0100
              Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 20:22 -0500
                Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 23:30 +0100
          Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 02:04 +0100
            Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-06 20:26 -0500
            Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-07 05:00 -0700
              Re: Validating that the implementation meets the spec for TM transition function Ben <ben.usenet@bsb.me.uk> - 2022-05-07 23:31 +0100
                Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-07 18:36 -0500
                Re: Validating that the implementation meets the spec for TM transition function Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2022-05-08 02:39 -0700
                Re: Validating that the implementation meets the spec for TM transition function [ priorities ] olcott <NoOne@NoWhere.com> - 2022-05-08 17:21 -0500
  Re: Validating that the implementation meets the spec for TM transition function Mikko <mikko.levanto@iki.fi> - 2022-05-07 11:06 +0300
    Re: Validating that the implementation meets the spec for TM transition function olcott <polcott2@gmail.com> - 2022-05-07 11:14 -0500
      Re: Validating that the implementation meets the spec for TM transition function Mikko <mikko.levanto@iki.fi> - 2022-05-08 11:57 +0300
        Re: Validating that the implementation meets the spec for TM transition function olcott <NoOne@NoWhere.com> - 2022-05-09 10:35 -0500

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