1RB0LD 1RC0RF 1LC1LA 0LE1RZ 1LF0RB 0RC0RE: Difference between revisions

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{{TM|1RB0LD_1RC0RF_1LC1LA_0LE1RZ_1LF0RB_0RC0RE|halt}} is a former [[BB(6)]] champion. It was discovered by Pavel Kropitz on 30 May 2022. This TM runs for over 10↑↑15 steps. An improved bound for this TMs runtime was achieved by Shawn Ligocki, using an extended version of tetration: <math>10 \uparrow\uparrow 15.60463 < Score < Runtime < 10 \uparrow\uparrow 15.60466</math><ref>S. Ligocki, "[https://www.sligocki.com/2022/06/25/ext-up-notation.html Extending Up-arrow Notation]". Blog Post, 2022. Accessed 15 August 2025.</ref>. See analysis: <ref>S. Ligocki, "[https://www.sligocki.com/2022/06/21/bb-6-2-t15.html BB(6, 2) > 10↑↑15]". Blog post, 2022. Accessed 20 June 2024.</ref>.
{{TM|1RB0LD_1RC0RF_1LC1LA_0LE1RZ_1LF0RB_0RC0RE|halt}} is a former [[BB(6)]] champion. It was discovered by Pavel Kropitz on 30 May 2022. This TM runs for over 10↑↑15 steps. An improved bound for this TMs runtime was achieved by Shawn Ligocki, using an extended version of tetration: <math>10 \uparrow\uparrow 15.60463 < Score < Runtime < 10 \uparrow\uparrow 15.60466</math><ref>S. Ligocki, "[https://www.sligocki.com/2022/06/25/ext-up-notation.html Extending Up-arrow Notation]". Blog Post, 2022. Accessed 15 August 2025.</ref>. See analysis: <ref>S. Ligocki, "[https://www.sligocki.com/2022/06/21/bb-6-2-t15.html BB(6, 2) > 10↑↑15]". Blog post, 2022. Accessed 20 June 2024.</ref>.


It simulates the following Collatz-like rules, starting at <math>C(5)</math>, on tape configurations <math>C(n) = 0^\infty\; 1\; 0^n\; 11\; 0^5\; \textrm{C>}\; 0^\infty</math>:
It simulates the following Collatz-like rules, starting at <math>C(5)</math>, on tape configurations <math>C(n) = 0^\infty\; 1\; 0^n\; 11\; 0^5\; \text{C}>\; 0^\infty</math>:


<math display="block">\begin{array}{l}
<math display="block">\begin{array}{l}

Revision as of 19:37, 7 October 2025

1RB0LD_1RC0RF_1LC1LA_0LE1RZ_1LF0RB_0RC0RE (bbch) is a former BB(6) champion. It was discovered by Pavel Kropitz on 30 May 2022. This TM runs for over 10↑↑15 steps. An improved bound for this TMs runtime was achieved by Shawn Ligocki, using an extended version of tetration: 1015.60463<Score<Runtime<1015.60466[1]. See analysis: [2].

It simulates the following Collatz-like rules, starting at C(5), on tape configurations C(n)=010n1105C>0:

C(4k)Halt(3k+3112)C(4k+1)C(3k+3112)C(4k+2)C(3k+3112)C(4k+3)C(3k+3+12)

References

  1. S. Ligocki, "Extending Up-arrow Notation". Blog Post, 2022. Accessed 15 August 2025.
  2. S. Ligocki, "BB(6, 2) > 10↑↑15". Blog post, 2022. Accessed 20 June 2024.