TMBR: October 2026: Difference between revisions
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== Misc == | == Misc == | ||
* On 1 October, dyuan shared a subset of BB(6) holdouts, consisting of 24 machines which are expected to be easily analyzable by [[Longitudinal Analysis|longitudinal analysis]].<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1555244959840337973]</sup> | * On 1 October, dyuan shared a subset of [[BB(6)]] holdouts, consisting of 24 machines which are expected to be easily analyzable by [[Longitudinal Analysis|longitudinal analysis]].<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1555244959840337973]</sup> | ||
== Champions == | == Champions == | ||
* Jeff Ketchersid constructed a new BB(8) [[champion]] {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_1LC0RH_1RG1LF|halt}}, which takes over <math>> 2 \uparrow^{37} 3</math> steps to halt | * Jeff Ketchersid constructed a new [[BB(8)]] [[champion]] {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_1LC0RH_1RG1LF|halt}}, which takes over <math>> 2 \uparrow^{37} 3</math> steps to halt. It was constructed by modifying the [[BB(7)]] champion, which previously held the BB(8) championship by default.<ref>https://discord.com/channels/960643023006490684/1448375857046360094/1556422395776995408</ref> | ||
== Holdouts == | == Holdouts == | ||
Revision as of 12:50, 5 October 2026
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This edition of TMBR is in progress and has not yet been released. Please add any notes you think may be relevant (including in the form a of a TODO with a link to any relevant Discord discussion). This Month in Beaver Research for October 2026.
BB Adjacent
- On 1 October, sheep discovered a 12-state, 2-register machine which halts iff 7 converges to 1 under the Collatz-like 5n+1 map, thus showing that MBB(12, 2) is hard.[1]
- On the same day, @-d enumerated MBB(8), which left 7,891 holdouts after reduction, or 404 holdouts if an ai-created decider is used.[2]
- On the same day, @mineralli discovered a family of champions for MBB(n, 1).[3]
- On 2 October, @mineralli discovered a new champion for MBB(10, 2).[4]
- On the same day, sheep discovered 2 new tetrational champions for MBB(10).[5][6]
- On the same day, Shawn Ligocki released an MBB(8) holdout list consisting of 145 holdouts,[7] using another ai-created decider similar to CTL.[8]
- On 3 October, Shawn Ligocki released another MBB(8) holdout list consisting of 46 holdouts,[9] later reduced to 6[10] (from 7[11]) holdouts.
- On the same day, Shawn Ligocki discovered a cryptid amongst the 6 remaining holdouts, showing MBB(8) is hard.[12]
- On the same day, sheep analyzed the rest of the holdouts, discovering 4 equivalences and another cryptid,[13] meaning MBB(8) "probviously" = 3,394.
Misc
- On 1 October, dyuan shared a subset of BB(6) holdouts, consisting of 24 machines which are expected to be easily analyzable by longitudinal analysis.[14]
Champions
- Jeff Ketchersid constructed a new BB(8) champion
1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_1LC0RH_1RG1LF(bbch), which takes over steps to halt. It was constructed by modifying the BB(7) champion, which previously held the BB(8) championship by default.[1]
Holdouts
- BB(2,5)
- On October 2, prurq claimed to have used Aristotle AI to solve one of the remaining holdouts, reducing the unofficial count to 38 out of initially 60 Rocq-proven.[15]
- BB(2,7)
- Terry Ligocki enumerated 20K more subtasks, increasing the number of holdouts to 3,125,433,611. All 1 million subtasks have been enumerated! This enumeration took from November 2025 to October 2026 using the resources I had available to work on this enumeration. Now we can start decreasing the number of holdouts!