User:Merieke/2D TMs: Difference between revisions

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new champion gg
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The Champion for BB(2,2,2) is this. S(2,2,2) > 11 and <math>\Sigma</math>(2,2,2) > 5
The Champion for BB(2,2,2) is this. S(2,2,2) > 16
{| class="wikitable"
{| class="wikitable"
|+Top
|+Top
Line 19: Line 19:
|-
|-
|A
|A
|1RDB
|1RB
|H
|0LB
|-
|-
|B
|B
|0LA
|0LDA
|1RDB
|0RDB
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 33: Line 33:
|-
|-
|A
|A
|1RUB
|0LUA
|0LUA
|1LUB
|-
|-
|B
|B
|1LA
|1RA
|1LA
|H
|}
|}

Revision as of 12:33, 24 October 2026

Multi-tape Turing Machines are like normal Turing machines but with more tapes. BB(n,m,o) = the maximum number of steps taken by a n state, m symbol, o tape Turing machine. In addition to going left and right, it can also go up and down.

Rules

  • Going up or down is not required for each step.
  • The head starts on the lowermost tape.
  • A step can't just be going up or down. If it goes up or down it also has to go left or right.


The Champion for BB(2,2,2) is this. S(2,2,2) > 16

Top
0 1
A 1RB 0LB
B 0LDA 0RDB
Bottom
0 1
A 0LUA 1LUB
B 1RA H