2-state 5-symbol TM #i (G. Lafitte & C. Papazian)

Comment: This TM produces 4,848,239 nonzeros in 14,103,258,269,249 steps.

State on
0
on
1
on
2
on
3
on
4
on 0 on 1 on 2 on 3 on 4
Print Move Goto Print Move Goto Print Move Goto Print Move Goto Print Move Goto
A B1R B3L B4L A4L A2R 1 right B 3 left B 4 left B 4 left A 2 right A
B A2L Z4L B3R A4R B3R 2 left A 4 left Z 3 right B 4 right A 3 right B
Transition table
The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 1-macro machine.
Simulation is done as 1-macro machine with pure additive config-TRs.

Pushing initial machine.
Pushing macro factor 1.

Steps             BasSteps              BasTpos  Tape contents
    0                    0                    0  A>
    1                    1                    1  1 B>
    2                    2                    0  1 <A 2
    3                    3                   -1  <B 3 2
    4                    4                   -2  <A 2 3 2
    5                    5                   -1  1 B> 2 3 2
    6                    6                    0  1 3 B> 3 2
    7                    7                    1  1 3 4 A> 2
    8                    8                    0  1 3 4 <B 4
    9                    9                    1  1 32 B> 4
   10                   10                    2  1 33 B>
   11                   11                    1  1 33 <A 2
   12                   14                   -2  1 <A 43 2
   13                   15                   -3  <B 3 43 2
   14                   16                   -4  <A 2 3 43 2
   15                   17                   -3  1 B> 2 3 43 2
   16                   18                   -2  1 3 B> 3 43 2
   17                   19                   -1  1 3 4 A> 43 2
   18                   22                    2  1 3 4 23 A> 2
   19                   23                    1  1 3 4 23 <B 4
   20                   24                    2  1 3 4 22 3 B> 4
   21                   25                    3  1 3 4 22 32 B>
   22                   26                    2  1 3 4 22 32 <A 2
   23                   28                    0  1 3 4 22 <A 42 2
   24                   29                   -1  1 3 4 2 <B 43 2
   25                   30                    0  1 3 4 3 B> 43 2
   26                   33                    3  1 3 4 34 B> 2
   27                   34                    4  1 3 4 35 B>
   28                   35                    3  1 3 4 35 <A 2
   29                   40                   -2  1 3 4 <A 45 2
   30                   41                   -1  1 3 2 A> 45 2
   31                   46                    4  1 3 26 A> 2
   32                   47                    3  1 3 26 <B 4
   33                   48                    4  1 3 25 3 B> 4
   34                   49                    5  1 3 25 32 B>
   35                   50                    4  1 3 25 32 <A 2
   36                   52                    2  1 3 25 <A 42 2
   37                   53                    1  1 3 24 <B 43 2
   38                   54                    2  1 3 23 3 B> 43 2
   39                   57                    5  1 3 23 34 B> 2
   40                   58                    6  1 3 23 35 B>
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* [*]* 23+V(2) 31+V(1) B>
    1                    1                   -1  [*]* [*]* 23+V(2) 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  [*]* [*]* 23+V(2) <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  [*]* [*]* 22+V(2) <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  [*]* [*]* 21+V(2) 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  [*]* [*]* 21+V(2) 33+V(1) B> 2
    6             7+2*V(1)                    1  [*]* [*]* 21+V(2) 34+V(1) B>
<< Success! ==> defined new CTR 1 (PA)
   40                   58                    6  1 3 23 35 B>
== Executing  PA-CTR  1, V(1)=4, V(2)=0, repcount=1, factor=3/2
   46                   73                    7  1 3 2 38 B>
   47                   74                    6  1 3 2 38 <A 2
   48                   82                   -2  1 3 2 <A 48 2
   49                   83                   -3  1 3 <B 49 2
   50                   84                   -2  1 4 A> 49 2
   51                   93                    7  1 4 29 A> 2
   52                   94                    6  1 4 29 <B 4
   53                   95                    7  1 4 28 3 B> 4
   54                   96                    8  1 4 28 32 B>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  [*]* 3 2 33+V(1) B>
    1                    1                   -1  [*]* 3 2 33+V(1) <A 2
    2               4+V(1)           -4+-1*V(1)  [*]* 3 2 <A 43+V(1) 2
    3               5+V(1)           -5+-1*V(1)  [*]* 3 <B 44+V(1) 2
    4               6+V(1)           -4+-1*V(1)  [*]* 4 A> 44+V(1) 2
    5            10+2*V(1)                    0  [*]* 4 24+V(1) A> 2
    6            11+2*V(1)                   -1  [*]* 4 24+V(1) <B 4
    7            12+2*V(1)                    0  [*]* 4 23+V(1) 3 B> 4
    8            13+2*V(1)                    1  [*]* 4 23+V(1) 32 B>
<< Success! ==> defined new CTR 2 (PPA)
   54                   96                    8  1 4 28 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=5, repcount=3, factor=3/2
   72                  141                   11  1 4 22 311 B>
   73                  142                   10  1 4 22 311 <A 2
   74                  153                   -1  1 4 22 <A 411 2
   75                  154                   -2  1 4 2 <B 412 2
   76                  155                   -1  1 4 3 B> 412 2
   77                  167                   11  1 4 313 B> 2
   78                  168                   12  1 4 314 B>
   79                  169                   11  1 4 314 <A 2
   80                  183                   -3  1 4 <A 414 2
   81                  184                   -2  1 2 A> 414 2
   82                  198                   12  1 215 A> 2
   83                  199                   11  1 215 <B 4
   84                  200                   12  1 214 3 B> 4
   85                  201                   13  1 214 32 B>
   86                  202                   12  1 214 32 <A 2
   87                  204                   10  1 214 <A 42 2
   88                  205                    9  1 213 <B 43 2
   89                  206                   10  1 212 3 B> 43 2
   90                  209                   13  1 212 34 B> 2
   91                  210                   14  1 212 35 B>
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* 23+V(2) 31+V(1) B>
    1                    1                   -1  [*]* 23+V(2) 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  [*]* 23+V(2) <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  [*]* 22+V(2) <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  [*]* 21+V(2) 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  [*]* 21+V(2) 33+V(1) B> 2
    6             7+2*V(1)                    1  [*]* 21+V(2) 34+V(1) B>
<< Success! ==> defined new CTR 3 (PA)
   91                  210                   14  1 212 35 B>
== Executing  PA-CTR  3, V(1)=4, V(2)=9, repcount=5, factor=3/2
  121                  345                   19  1 22 320 B>
  122                  346                   18  1 22 320 <A 2
  123                  366                   -2  1 22 <A 420 2
  124                  367                   -3  1 2 <B 421 2
  125                  368                   -2  1 3 B> 421 2
  126                  389                   19  1 322 B> 2
  127                  390                   20  1 323 B>
  128                  391                   19  1 323 <A 2
  129                  414                   -4  1 <A 423 2
  130                  415                   -5  <B 3 423 2
  131                  416                   -6  <A 2 3 423 2
  132                  417                   -5  1 B> 2 3 423 2
  133                  418                   -4  1 3 B> 3 423 2
  134                  419                   -3  1 3 4 A> 423 2
  135                  442                   20  1 3 4 223 A> 2
  136                  443                   19  1 3 4 223 <B 4
  137                  444                   20  1 3 4 222 3 B> 4
  138                  445                   21  1 3 4 222 32 B>
  139                  446                   20  1 3 4 222 32 <A 2
  140                  448                   18  1 3 4 222 <A 42 2
  141                  449                   17  1 3 4 221 <B 43 2
  142                  450                   18  1 3 4 220 3 B> 43 2
  143                  453                   21  1 3 4 220 34 B> 2
  144                  454                   22  1 3 4 220 35 B>
>> Try to prove a PA-CTR with 2 Vars...
    0                    0                    0  [*]* [*]* [*]* 23+V(2) 31+V(1) B>
    1                    1                   -1  [*]* [*]* [*]* 23+V(2) 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  [*]* [*]* [*]* 23+V(2) <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  [*]* [*]* [*]* 22+V(2) <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  [*]* [*]* [*]* 21+V(2) 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  [*]* [*]* [*]* 21+V(2) 33+V(1) B> 2
    6             7+2*V(1)                    1  [*]* [*]* [*]* 21+V(2) 34+V(1) B>
<< Success! ==> defined new CTR 4 (PA)
  144                  454                   22  1 3 4 220 35 B>
== Executing  PA-CTR  4, V(1)=4, V(2)=17, repcount=9, factor=3/2
  198                  805                   31  1 3 4 22 332 B>
  199                  806                   30  1 3 4 22 332 <A 2
  200                  838                   -2  1 3 4 22 <A 432 2
  201                  839                   -3  1 3 4 2 <B 433 2
  202                  840                   -2  1 3 4 3 B> 433 2
  203                  873                   31  1 3 4 334 B> 2
  204                  874                   32  1 3 4 335 B>
  205                  875                   31  1 3 4 335 <A 2
  206                  910                   -4  1 3 4 <A 435 2
  207                  911                   -3  1 3 2 A> 435 2
  208                  946                   32  1 3 236 A> 2
  209                  947                   31  1 3 236 <B 4
  210                  948                   32  1 3 235 3 B> 4
  211                  949                   33  1 3 235 32 B>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  [*]* [*]* 4 22 31+V(1) B>
    1                    1                   -1  [*]* [*]* 4 22 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  [*]* [*]* 4 22 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  [*]* [*]* 4 2 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  [*]* [*]* 4 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  [*]* [*]* 4 33+V(1) B> 2
    6             7+2*V(1)                    1  [*]* [*]* 4 34+V(1) B>
    7             8+2*V(1)                    0  [*]* [*]* 4 34+V(1) <A 2
    8            12+3*V(1)           -4+-1*V(1)  [*]* [*]* 4 <A 44+V(1) 2
    9            13+3*V(1)           -3+-1*V(1)  [*]* [*]* 2 A> 44+V(1) 2
   10            17+4*V(1)                    1  [*]* [*]* 25+V(1) A> 2
   11            18+4*V(1)                    0  [*]* [*]* 25+V(1) <B 4
   12            19+4*V(1)                    1  [*]* [*]* 24+V(1) 3 B> 4
   13            20+4*V(1)                    2  [*]* [*]* 24+V(1) 32 B>
<< Success! ==> defined new CTR 5 (PPA)
  211                  949                   33  1 3 235 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=32, repcount=17, factor=3/2
  313                 1918                   50  1 3 2 353 B>
== Executing PPA-CTR  2 (once), V(1)=50
  321                 2031                   51  1 4 253 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=50, repcount=26, factor=3/2
  477                 4215                   77  1 4 2 380 B>
  478                 4216                   76  1 4 2 380 <A 2
  479                 4296                   -4  1 4 2 <A 480 2
  480                 4297                   -5  1 4 <B 481 2
  481                 4298                   -4  1 3 B> 481 2
  482                 4379                   77  1 382 B> 2
  483                 4380                   78  1 383 B>
  484                 4381                   77  1 383 <A 2
  485                 4464                   -6  1 <A 483 2
  486                 4465                   -7  <B 3 483 2
  487                 4466                   -8  <A 2 3 483 2
  488                 4467                   -7  1 B> 2 3 483 2
  489                 4468                   -6  1 3 B> 3 483 2
  490                 4469                   -5  1 3 4 A> 483 2
  491                 4552                   78  1 3 4 283 A> 2
  492                 4553                   77  1 3 4 283 <B 4
  493                 4554                   78  1 3 4 282 3 B> 4
  494                 4555                   79  1 3 4 282 32 B>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  1 4 2 31+V(1) B>
    1                    1                   -1  1 4 2 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  1 4 2 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  1 4 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  1 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  1 33+V(1) B> 2
    6             7+2*V(1)                    1  1 34+V(1) B>
    7             8+2*V(1)                    0  1 34+V(1) <A 2
    8            12+3*V(1)           -4+-1*V(1)  1 <A 44+V(1) 2
    9            13+3*V(1)           -5+-1*V(1)  <B 3 44+V(1) 2
   10            14+3*V(1)           -6+-1*V(1)  <A 2 3 44+V(1) 2
   11            15+3*V(1)           -5+-1*V(1)  1 B> 2 3 44+V(1) 2
   12            16+3*V(1)           -4+-1*V(1)  1 3 B> 3 44+V(1) 2
   13            17+3*V(1)           -3+-1*V(1)  1 3 4 A> 44+V(1) 2
   14            21+4*V(1)                    1  1 3 4 24+V(1) A> 2
   15            22+4*V(1)                    0  1 3 4 24+V(1) <B 4
   16            23+4*V(1)                    1  1 3 4 23+V(1) 3 B> 4
   17            24+4*V(1)                    2  1 3 4 23+V(1) 32 B>
<< Success! ==> defined new CTR 6 (PPA)
  494                 4555                   79  1 3 4 282 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=79, repcount=40, factor=3/2
  734                 9595                  119  1 3 4 22 3122 B>
== Executing PPA-CTR  5 (once), V(1)=121
  747                10099                  121  1 3 2125 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=122, repcount=62, factor=3/2
 1119                22003                  183  1 3 2 3188 B>
== Executing PPA-CTR  2 (once), V(1)=185
 1127                22386                  184  1 4 2188 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=185, repcount=93, factor=3/2
 1685                48891                  277  1 4 22 3281 B>
 1686                48892                  276  1 4 22 3281 <A 2
 1687                49173                   -5  1 4 22 <A 4281 2
 1688                49174                   -6  1 4 2 <B 4282 2
 1689                49175                   -5  1 4 3 B> 4282 2
 1690                49457                  277  1 4 3283 B> 2
 1691                49458                  278  1 4 3284 B>
 1692                49459                  277  1 4 3284 <A 2
 1693                49743                   -7  1 4 <A 4284 2
 1694                49744                   -6  1 2 A> 4284 2
 1695                50028                  278  1 2285 A> 2
 1696                50029                  277  1 2285 <B 4
 1697                50030                  278  1 2284 3 B> 4
 1698                50031                  279  1 2284 32 B>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  [*]* 4 22 31+V(1) B>
    1                    1                   -1  [*]* 4 22 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  [*]* 4 22 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  [*]* 4 2 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  [*]* 4 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  [*]* 4 33+V(1) B> 2
    6             7+2*V(1)                    1  [*]* 4 34+V(1) B>
    7             8+2*V(1)                    0  [*]* 4 34+V(1) <A 2
    8            12+3*V(1)           -4+-1*V(1)  [*]* 4 <A 44+V(1) 2
    9            13+3*V(1)           -3+-1*V(1)  [*]* 2 A> 44+V(1) 2
   10            17+4*V(1)                    1  [*]* 25+V(1) A> 2
   11            18+4*V(1)                    0  [*]* 25+V(1) <B 4
   12            19+4*V(1)                    1  [*]* 24+V(1) 3 B> 4
   13            20+4*V(1)                    2  [*]* 24+V(1) 32 B>
<< Success! ==> defined new CTR 7 (PPA)
 1698                50031                  279  1 2284 32 B>
== Executing  PA-CTR  3, V(1)=1, V(2)=281, repcount=141, factor=3/2
 2544               110520                  420  1 22 3425 B>
 2545               110521                  419  1 22 3425 <A 2
 2546               110946                   -6  1 22 <A 4425 2
 2547               110947                   -7  1 2 <B 4426 2
 2548               110948                   -6  1 3 B> 4426 2
 2549               111374                  420  1 3427 B> 2
 2550               111375                  421  1 3428 B>
 2551               111376                  420  1 3428 <A 2
 2552               111804                   -8  1 <A 4428 2
 2553               111805                   -9  <B 3 4428 2
 2554               111806                  -10  <A 2 3 4428 2
 2555               111807                   -9  1 B> 2 3 4428 2
 2556               111808                   -8  1 3 B> 3 4428 2
 2557               111809                   -7  1 3 4 A> 4428 2
 2558               112237                  421  1 3 4 2428 A> 2
 2559               112238                  420  1 3 4 2428 <B 4
 2560               112239                  421  1 3 4 2427 3 B> 4
 2561               112240                  422  1 3 4 2427 32 B>
>> Try to prove a PPA-CTR with 1 Vars...
    0                    0                    0  1 22 31+V(1) B>
    1                    1                   -1  1 22 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  1 22 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  1 2 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  1 3 B> 42+V(1) 2
    5             6+2*V(1)                    0  1 33+V(1) B> 2
    6             7+2*V(1)                    1  1 34+V(1) B>
    7             8+2*V(1)                    0  1 34+V(1) <A 2
    8            12+3*V(1)           -4+-1*V(1)  1 <A 44+V(1) 2
    9            13+3*V(1)           -5+-1*V(1)  <B 3 44+V(1) 2
   10            14+3*V(1)           -6+-1*V(1)  <A 2 3 44+V(1) 2
   11            15+3*V(1)           -5+-1*V(1)  1 B> 2 3 44+V(1) 2
   12            16+3*V(1)           -4+-1*V(1)  1 3 B> 3 44+V(1) 2
   13            17+3*V(1)           -3+-1*V(1)  1 3 4 A> 44+V(1) 2
   14            21+4*V(1)                    1  1 3 4 24+V(1) A> 2
   15            22+4*V(1)                    0  1 3 4 24+V(1) <B 4
   16            23+4*V(1)                    1  1 3 4 23+V(1) 3 B> 4
   17            24+4*V(1)                    2  1 3 4 23+V(1) 32 B>
<< Success! ==> defined new CTR 8 (PPA)
 2561               112240                  422  1 3 4 2427 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=424, repcount=213, factor=3/2
 3839               249625                  635  1 3 4 2 3641 B>
 3840               249626                  634  1 3 4 2 3641 <A 2
 3841               250267                   -7  1 3 4 2 <A 4641 2
 3842               250268                   -8  1 3 4 <B 4642 2
 3843               250269                   -7  1 32 B> 4642 2
 3844               250911                  635  1 3644 B> 2
 3845               250912                  636  1 3645 B>
 3846               250913                  635  1 3645 <A 2
 3847               251558                  -10  1 <A 4645 2
 3848               251559                  -11  <B 3 4645 2
 3849               251560                  -12  <A 2 3 4645 2
 3850               251561                  -11  1 B> 2 3 4645 2
 3851               251562                  -10  1 3 B> 3 4645 2
 3852               251563                   -9  1 3 4 A> 4645 2
 3853               252208                  636  1 3 4 2645 A> 2
 3854               252209                  635  1 3 4 2645 <B 4
 3855               252210                  636  1 3 4 2644 3 B> 4
 3856               252211                  637  1 3 4 2644 32 B>
>> Try to prove a PPA-CTR with 2 Vars...
    0                    0                    0  1 31+V(2) 4 2 31+V(1) B>
    1                    1                   -1  1 31+V(2) 4 2 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  1 31+V(2) 4 2 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  1 31+V(2) 4 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  1 32+V(2) B> 42+V(1) 2
    5             6+2*V(1)                    0  1 34+V(1)+V(2) B> 2
    6             7+2*V(1)                    1  1 35+V(1)+V(2) B>
    7             8+2*V(1)                    0  1 35+V(1)+V(2) <A 2
    8       13+3*V(1)+V(2)   -5+-1*V(1)+-1*V(2)  1 <A 45+V(1)+V(2) 2
    9       14+3*V(1)+V(2)   -6+-1*V(1)+-1*V(2)  <B 3 45+V(1)+V(2) 2
   10       15+3*V(1)+V(2)   -7+-1*V(1)+-1*V(2)  <A 2 3 45+V(1)+V(2) 2
   11       16+3*V(1)+V(2)   -6+-1*V(1)+-1*V(2)  1 B> 2 3 45+V(1)+V(2) 2
   12       17+3*V(1)+V(2)   -5+-1*V(1)+-1*V(2)  1 3 B> 3 45+V(1)+V(2) 2
   13       18+3*V(1)+V(2)   -4+-1*V(1)+-1*V(2)  1 3 4 A> 45+V(1)+V(2) 2
   14     23+4*V(1)+2*V(2)                    1  1 3 4 25+V(1)+V(2) A> 2
   15     24+4*V(1)+2*V(2)                    0  1 3 4 25+V(1)+V(2) <B 4
   16     25+4*V(1)+2*V(2)                    1  1 3 4 24+V(1)+V(2) 3 B> 4
   17     26+4*V(1)+2*V(2)                    2  1 3 4 24+V(1)+V(2) 32 B>
<< Success! ==> defined new CTR 9 (PPA)
 3856               252211                  637  1 3 4 2644 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=641, repcount=321, factor=3/2
 5782               563260                  958  1 3 4 22 3965 B>
== Executing PPA-CTR  5 (once), V(1)=964
 5795               567136                  960  1 3 2968 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=965, repcount=483, factor=3/2
 8693              1269901                 1443  1 3 22 31451 B>
 8694              1269902                 1442  1 3 22 31451 <A 2
 8695              1271353                   -9  1 3 22 <A 41451 2
 8696              1271354                  -10  1 3 2 <B 41452 2
 8697              1271355                   -9  1 32 B> 41452 2
 8698              1272807                 1443  1 31454 B> 2
 8699              1272808                 1444  1 31455 B>
 8700              1272809                 1443  1 31455 <A 2
 8701              1274264                  -12  1 <A 41455 2
 8702              1274265                  -13  <B 3 41455 2
 8703              1274266                  -14  <A 2 3 41455 2
 8704              1274267                  -13  1 B> 2 3 41455 2
 8705              1274268                  -12  1 3 B> 3 41455 2
 8706              1274269                  -11  1 3 4 A> 41455 2
 8707              1275724                 1444  1 3 4 21455 A> 2
 8708              1275725                 1443  1 3 4 21455 <B 4
 8709              1275726                 1444  1 3 4 21454 3 B> 4
 8710              1275727                 1445  1 3 4 21454 32 B>
>> Try to prove a PPA-CTR with 2 Vars...
    0                    0                    0  1 31+V(2) 22 31+V(1) B>
    1                    1                   -1  1 31+V(2) 22 31+V(1) <A 2
    2               2+V(1)           -2+-1*V(1)  1 31+V(2) 22 <A 41+V(1) 2
    3               3+V(1)           -3+-1*V(1)  1 31+V(2) 2 <B 42+V(1) 2
    4               4+V(1)           -2+-1*V(1)  1 32+V(2) B> 42+V(1) 2
    5             6+2*V(1)                    0  1 34+V(1)+V(2) B> 2
    6             7+2*V(1)                    1  1 35+V(1)+V(2) B>
    7             8+2*V(1)                    0  1 35+V(1)+V(2) <A 2
    8       13+3*V(1)+V(2)   -5+-1*V(1)+-1*V(2)  1 <A 45+V(1)+V(2) 2
    9       14+3*V(1)+V(2)   -6+-1*V(1)+-1*V(2)  <B 3 45+V(1)+V(2) 2
   10       15+3*V(1)+V(2)   -7+-1*V(1)+-1*V(2)  <A 2 3 45+V(1)+V(2) 2
   11       16+3*V(1)+V(2)   -6+-1*V(1)+-1*V(2)  1 B> 2 3 45+V(1)+V(2) 2
   12       17+3*V(1)+V(2)   -5+-1*V(1)+-1*V(2)  1 3 B> 3 45+V(1)+V(2) 2
   13       18+3*V(1)+V(2)   -4+-1*V(1)+-1*V(2)  1 3 4 A> 45+V(1)+V(2) 2
   14     23+4*V(1)+2*V(2)                    1  1 3 4 25+V(1)+V(2) A> 2
   15     24+4*V(1)+2*V(2)                    0  1 3 4 25+V(1)+V(2) <B 4
   16     25+4*V(1)+2*V(2)                    1  1 3 4 24+V(1)+V(2) 3 B> 4
   17     26+4*V(1)+2*V(2)                    2  1 3 4 24+V(1)+V(2) 32 B>
<< Success! ==> defined new CTR 10 (PPA)
 8710              1275727                 1445  1 3 4 21454 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=1451, repcount=726, factor=3/2
13066              2861311                 2171  1 3 4 22 32180 B>
== Executing PPA-CTR  5 (once), V(1)=2179
13079              2870047                 2173  1 3 22183 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=2180, repcount=1091, factor=3/2
19625              6447436                 3264  1 3 2 33275 B>
== Executing PPA-CTR  2 (once), V(1)=3272
19633              6453993                 3265  1 4 23275 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=3272, repcount=1637, factor=3/2
29455             14503122                 4902  1 4 2 34913 B>
== Executing PPA-CTR  6 (once), V(1)=4912
29472             14522794                 4904  1 3 4 24915 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=4912, repcount=2457, factor=3/2
44214             32648083                 7361  1 3 4 2 37373 B>
== Executing PPA-CTR  9 (once), V(1)=7372, V(2)=0
44231             32677597                 7363  1 3 4 27376 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=7373, repcount=3687, factor=3/2
66353             73481626                11050  1 3 4 22 311063 B>
== Executing PPA-CTR  5 (once), V(1)=11062
66366             73525894                11052  1 3 211066 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=11063, repcount=5532, factor=3/2
99558            165368158                16584  1 3 22 316598 B>
== Executing PPA-CTR 10 (once), V(1)=16597, V(2)=0
99575            165434572                16586  1 3 4 216601 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=16598, repcount=8300, factor=3/2
149375            372154372                24886  1 3 4 2 324902 B>
== Executing PPA-CTR  9 (once), V(1)=24901, V(2)=0
149392            372254002                24888  1 3 4 224905 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=24902, repcount=12452, factor=3/2
224104            837485626                37340  1 3 4 2 337358 B>
== Executing PPA-CTR  9 (once), V(1)=37357, V(2)=0
224121            837635080                37342  1 3 4 237361 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=37358, repcount=18680, factor=3/2
336201           1884574360                56022  1 3 4 2 356042 B>
== Executing PPA-CTR  9 (once), V(1)=56041, V(2)=0
336218           1884798550                56024  1 3 4 256045 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=56042, repcount=28022, factor=3/2
504350           4240664134                84046  1 3 4 2 384068 B>
== Executing PPA-CTR  9 (once), V(1)=84067, V(2)=0
504367           4241000428                84048  1 3 4 284071 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=84068, repcount=42035, factor=3/2
756577           9542076313               126083  1 3 4 2 3126107 B>
== Executing PPA-CTR  9 (once), V(1)=126106, V(2)=0
756594           9542580763               126085  1 3 4 2126110 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=126107, repcount=63054, factor=3/2
1134918          21470379835               189139  1 3 4 22 3189164 B>
== Executing PPA-CTR  5 (once), V(1)=189163
1134931          21471136507               189141  1 3 2189167 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=189164, repcount=94583, factor=3/2
1702429          48309535672               283724  1 3 2 3283751 B>
== Executing PPA-CTR  2 (once), V(1)=283748
1702437          48310103181               283725  1 4 2283751 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=283748, repcount=141875, factor=3/2
2553687         108696501306               425600  1 4 2 3425627 B>
== Executing PPA-CTR  6 (once), V(1)=425626
2553704         108698203834               425602  1 3 4 2425629 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=425626, repcount=212814, factor=3/2
3830588         244568876506               638416  1 3 4 2 3638444 B>
== Executing PPA-CTR  9 (once), V(1)=638443, V(2)=0
3830605         244571430304               638418  1 3 4 2638447 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=638444, repcount=319223, factor=3/2
5745943         550283316829               957641  1 3 4 2 3957671 B>
== Executing PPA-CTR  9 (once), V(1)=957670, V(2)=0
5745960         550287147535               957643  1 3 4 2957674 32 B>
== Executing  PA-CTR  4, V(1)=1, V(2)=957671, repcount=478836, factor=3/2
8618976        1238141765239              1436479  1 3 4 22 31436510 B>
== Executing PPA-CTR  5 (once), V(1)=1436509
8618989        1238147511295              1436481  1 3 21436513 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=1436510, repcount=718256, factor=3/2
12928525        2785826865439              2154737  1 3 2 32154770 B>
== Executing PPA-CTR  2 (once), V(1)=2154767
12928533        2785831174986              2154738  1 4 22154770 32 B>
== Executing  PA-CTR  1, V(1)=1, V(2)=2154767, repcount=1077384, factor=3/2
19392837        6268106489658              3232122  1 4 22 33232154 B>
== Executing PPA-CTR  7 (once), V(1)=3232153
19392850        6268119418290              3232124  1 23232157 32 B>
== Executing  PA-CTR  3, V(1)=1, V(2)=3232154, repcount=1616078, factor=3/2
29089318       14103253421010              4848202  1 2 34848236 B>
29089319       14103253421011              4848201  1 2 34848236 <A 2
29089320       14103258269247                  -35  1 2 <A 44848236 2
29089321       14103258269248                  -36  1 <B 44848237 2
29089322       14103258269249                  -37  <Z 44848238 2
29089322       14103258269249                  -37  <Z 44848238 2   [stop]

Lines:       246
Top steps:   244
Macro steps: 29089322
Basic steps: 14103258269249
Tape index:  -37
nonzeros:    4848239
log10(nonzeros):    6.686
log10(steps   ):   13.149
Run state:   stop

The same TM just simple.
The same TM with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 1-macro machine.

To the BB simulations page of Heiner Marxen.
To the busy beaver page of Heiner Marxen.
To the home page of Heiner Marxen.
Input to awk program:
    gohalt 1
    nbs 5
    T 2-state 5-symbol TM #i (G. Lafitte & C. Papazian)
    5T  B1R B3L B4L A4L A2R  A2L Z4L B3R A4R B3R
    : 4,848,239 14,103,258,269,249 
    L 6
    M	250
    pref	sim
    machv Laf25_i  	just simple
    machv Laf25_i-r	with repetitions reduced
    machv Laf25_i-1	with tape symbol exponents
    machv Laf25_i-m	as 1-macro machine
    machv Laf25_i-a	as 1-macro machine with pure additive config-TRs
    iam	Laf25_i-a
    mtype	1
    mmtyp	3
    r	1
    H	1
    mac	0
    E	2
    sympr	
    HM	1
    date	Tue Jul  6 22:12:06 CEST 2010
    edate	Tue Jul  6 22:12:07 CEST 2010
    bnspeed	1

Constructed by: $Id: tmJob.awk,v 1.34 2010/05/06 18:26:17 heiner Exp $ $Id: basics.awk,v 1.1 2010/05/06 17:24:17 heiner Exp $ $Id: htSupp.awk,v 1.14 2010/07/06 19:48:32 heiner Exp $ $Id: mmSim.awk,v 1.34 2005/01/09 22:23:28 heiner Exp $ $Id: bignum.awk,v 1.34 2010/05/06 17:58:14 heiner Exp $ $Id: varLI.awk,v 1.11 2005/01/15 21:01:29 heiner Exp $ bignum signature: LEN={S++:9 U++:9 S+:8 U+:8 S*:4 U*:4} DONT: y i o;
Start: Tue Jul 6 22:12:06 CEST 2010
Ready: Tue Jul 6 22:12:07 CEST 2010