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Groups > comp.theory > #50038

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

Subject Re: Validating that the implementation meets the spec for TM transition function
Newsgroups comp.theory
References (7 earlier) <87a6btx9uz.fsf@bsb.me.uk> <t5782u$1p6$1@dont-email.me> <878rrcuoj6.fsf@bsb.me.uk> <t58tdr$93p$1@dont-email.me> <87tu9zubfs.fsf@bsb.me.uk>
From Richard Damon <Richard@Damon-Family.org>
Message-ID <zLUdK.4623$arR.255@fx48.iad> (permalink)
Organization Forte - www.forteinc.com
Date 2022-05-08 15:22 -0400

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On 5/8/22 2:27 PM, Ben wrote:
> Jeff Barnett <jbb@notatt.com> writes:
> 
>> On 5/8/2022 7:44 AM, Ben wrote:
>>> Jeff Barnett <jbb@notatt.com> writes:
>>>
>>>> On 5/7/2022 4:21 PM, Ben wrote:
>>>
>>>>> Here's an interesting test case that's useful for timing and so on:
>>>>> A_1RB
>>>>> A11LC
>>>>> B_1RC
>>>>> B11RB
>>>>> C_1RD
>>>>> C1_LE
>>>>> D_1LA
>>>>> D11LD
>>>>> E_1RH
>>>>> E1_LA
>>>>>
>>>>> You will need to add a '(' for DSW compatibility.  Also, note that my
>>>>> interpreter uses _ as the tape's blank symbol.  Change all _s to an
>>>>> actual spaces if that's what you use.
>>>>>
>>>>> This is (as far as I know) the current BB(5) champion.  It runs for more
>>>>> that 47 million steps before halting.
>>>>
>>>> Questions:
>>>>
>>>> Was 47 million steps a measured or a theoretically computed measure?
>>> Measured.
>>>
>>>> How long would you estimate that a well-written TM interpreter on
>>>> modern hardware needs to interpret the above? A few seconds or
>>>> minutes?
>>> $ time ./tm bb-5-2 ""
>>>      A   B   C   D   E   H
>>> 1 1LC 1RB _LE 1LD _LA
>>> _ 1RB 1RC 1RD 1LA 1RH
>>> steps=47176874
>>> real	0m0.237s
>>> user	0m0.237s
>>> sys	0m0.000s
>>> This is a C++ interpreter I've just written so that I can compare
>>> designs with anything PO produces.  I've not worked on making it fast
>>> though I compiler with -O3 for this test.
>>> It uses a plain std::string for the tape, so I imagine the quality of
>>> the C++ library is the key factor (I've not profiled it yet).
>>> (That table at the start is just the sates transition table written in a
>>> compact form.)
>>
>> Impressive.
> 
> Thanks, but there's no skill involved, other that not picking any part
> of the design that looks like a certain loser.
> 
>> I'm going to conjecture from the rate of interpretation 47M/.237s ~
>> 200,000,000 states per second that TM definition, your code, and used
>> library code must have all snuggled into the machine cache.
> 
> Seems likely.
> 
>> I'm also
>> assuming that the C++ code (because of the nature of the computation)
>> does not lend itself to using multiple cores which makes the speed all
>> that more impressive.
> 
> Yes, single core.  My laptop is not an old banger (1.6Ghz i5-8256U), but
> even so I was surprised.
> 
>> Other questions:
>>
>> Did you directly set up a (state X character) -> (quintuple) lookup
>> rather than doing it in two steps?
> 
> There's only one lookup, but not that one.  In my current design the
> states are objects that hold a char to triple map, the triple being the
> character to write, the tape movement, and a pointer to the next state).
> 
> The inner loop is therefore very tight.  I could (probably) speed it up
> a bit by using an array for that lookup, but I imagined I might like to
> use fancy Unicode symbols at some stage and a map will work better for
> that.

My thinking is that there are only two things that have the ability to 
"cost" time. One is tape management, but using an object that acts like 
an array which is indexed in makes this fast except when we need to 
expand it, but that will generally amortize to a small value. (Letting 
the string class do that isn't a bad option).

The second "costly" operation is looking up the rule based on current 
state / tape symbol. For speed this really needs to be O(1) (at least 
amortized). If we reduce our state and input symbols to an internal 
numbering of 0-n an array works great. If we limit our states to 'ascii 
characters' then the 256 x 256 array isn't outlandish in space 
requirements for modern machines.

If you want full Unicode characters, then either you need the conversion 
to a simple 0-n enumeration, or going to a hash table to store the 
rules. The question becomes which cost more the input/output conversion 
to use 0-n values, or hashing (and handling the possible collisions).

My thought is that in the 0-n enumeration, the table is "dense" in the 
sense that all non-terminal state will be fully filled out. (And 
terminal states don't actually need an entry, just a value recognized as 
terminal).

> 
>> I don't think that wouldn't make a big difference for this example but
>> could for TM definitions with much larger quintuple tables.
>>
>> Do C++ character arrays (strings?) have provisions to grow if a char
>> is pushed passed the structure's end?
> 
> push_back is amortised constant time whereas append and insert give no
> guarantees.  I think glibc goes to some effort to make appending and
> growing at the front quote efficient.
> 
>> I'm thinking of Lisp arrays with
>> fill pointers as an example. To ask the question a different way which
>> of the following did you do to set the initial size of the "tape":
>> determine empirically, start arbitrarily and let the C++ system
>> run-time grow the structure as needed, or start arbitrarily and use
>> your own code to deal with the issue?
> 
> 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.
> 
> I'll post the code when the time comes if case anyone cares to see it.
> 
> I plan to do a Haskell version too.  I used to have one, but that got
> lost in retirement.
> 

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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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