TMBR: April 2026: Difference between revisions

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== BB Adjacent ==
== BB Adjacent ==
[[General Recursive Function]]


* 3 Apr 2026: Jacob Mandelson proved the values up to BBµ(7).<sup>[https://discord.com/channels/960643023006490684/1447627603698647303/1489782558446321677]</sup>
* [[General Recursive Function]]
* 9 Apr 2026: Jacob Mandelson discovered a new family of champions for BBµ(n).<sup>[https://discord.com/channels/960643023006490684/1447627603698647303/1492021428546179182]</sup>  
** 3 Apr 2026: Jacob Mandelson proved the values up to BBµ(7).<sup>[https://discord.com/channels/960643023006490684/1447627603698647303/1489782558446321677]</sup>
** 9 Apr 2026: Jacob Mandelson discovered a new family of champions for BBµ(n).<sup>[https://discord.com/channels/960643023006490684/1447627603698647303/1492021428546179182]</sup>


== Misc ==
== Misc ==
* Katelyn Doucette completed [https://github.com/Laturas/FractranVisualizer a visualizer] for Fractran space-time diagrams.<sup>[https://discord.com/channels/960643023006490684/1438019511155691521/1488727841951449088 <nowiki>[1]</nowiki>]</sup>
* Katelyn Doucette completed [https://github.com/Laturas/FractranVisualizer a visualizer] for Fractran space-time diagrams.<sup>[https://discord.com/channels/960643023006490684/1438019511155691521/1488727841951449088 <nowiki>[3]</nowiki>]</sup>


== Holdouts ==
== Holdouts ==


*[[BB(6)]]
*[[BB(6)]]
**Discord user sheep discovered<sup>[https://discord.com/channels/960643023006490684/1448375857046360094/1490939334092787722 <nowiki>[1]</nowiki>][https://discord.com/channels/960643023006490684/1448375857046360094/1490772706269069313 <nowiki>[2]</nowiki>]</sup> a new [[Cryptid]], {{TM|1RB1LA_0LC0RC_1LE1RD_1RE1RC_1LF0LA_---1LE}},  similar to [[Space Needle]]. A classification of Cryptids is now being worked on, where this machine, for example, could belong to a class of Needles (along with Space Needle).
**Discord user sheep discovered<sup>[https://discord.com/channels/960643023006490684/1448375857046360094/1490939334092787722 <nowiki>[4]</nowiki>][https://discord.com/channels/960643023006490684/1448375857046360094/1490772706269069313 <nowiki>[5]</nowiki>]</sup> a new [[Cryptid]], {{TM|1RB1LA_0LC0RC_1LE1RD_1RE1RC_1LF0LA_---1LE}},  similar to [[Space Needle]]. A classification of Cryptids is now being worked on, where this machine, for example, could belong to a class of Needles (along with Space Needle).
**BMO 8 was added to the [[Beaver Math Olympiad]]: {{TM|1RB0LD_0RC1RB_0RD0RA_1LE0RD_1LF---_0LA1LA}}
**BMO 8 was added to the [[Beaver Math Olympiad]]: {{TM|1RB0LD_0RC1RB_0RD0RA_1LE0RD_1LF---_0LA1LA}}
*[[BB(7)]]
*[[BB(7)]]
**Further filtering by Andrew Ducharme reduced the number of holdouts from 18,036,852 to '''17,823,260'''.<sup>[https://discord.com/channels/960643023006490684/1369339127652159509/1490808711952728235 <nowiki>[3]</nowiki>]</sup> (A 1.18% reduction)
**Further filtering by Andrew Ducharme reduced the number of holdouts from 18,036,852 to '''17,823,260'''.<sup>[https://discord.com/channels/960643023006490684/1369339127652159509/1490808711952728235 <nowiki>[6]</nowiki>]</sup> (A 1.18% reduction)
* [[BB(2,5)]]:
* [[BB(2,5)]]:
** On 1 April 2026, [https://discord.com/channels/960643023006490684/1259770421046411285/1488737894943166604 Discord user mammillaria shared a Lean formalisation of the BMO 3 problem and its solution], which he created using [https://aristotle.harmonic.fun/ Aristotle AI]. Then [https://discord.com/channels/960643023006490684/1259770421046411285/1488898494386274374 mxdys formalised the result] in Rocq using LLMs, reducing the holdout count to 67, with 60 informal holdouts.
** On 1 April 2026, [https://discord.com/channels/960643023006490684/1259770421046411285/1488737894943166604 Discord user mammillaria shared a Lean formalisation of the BMO 3 problem and its solution], which he created using [https://aristotle.harmonic.fun/ Aristotle AI]. Then [https://discord.com/channels/960643023006490684/1259770421046411285/1488898494386274374 mxdys formalised the result] in Rocq using LLMs, reducing the holdout count to 67, with 60 informal holdouts.

Revision as of 21:09, 11 April 2026

Prev: March 2026 This Month in Beaver Research Next: May 2026

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 April 2026. This month, a new Cryptid was discovered in BB(6) by Discord user sheep, and BMO 8 was added to BMO. Two informally proven machines were formalised into Rocq in BB(2,5), and Katelyn Doucette created a visualizer for Fractran space-time diagrams. We also shot below 18 million holdouts for BB(7).

BB Adjacent

  • General Recursive Function
    • 3 Apr 2026: Jacob Mandelson proved the values up to BBµ(7).[1]
    • 9 Apr 2026: Jacob Mandelson discovered a new family of champions for BBµ(n).[2]

Misc

  • Katelyn Doucette completed a visualizer for Fractran space-time diagrams.[3]

Holdouts