TMBR: October 2025
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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).

Blog Posts
- ? Oct 2025. Katelyn Doucette. Building the Busy Beaver Ladder.
Holdouts
- BB(7):
- Andrew Ducharme has continued reducing the number of holdouts with Stage 4 of Phase 2. Initially, in the beginning of the month there were 22,801,601 holdouts, and 22,721,690 holdouts remain. (0.35% reduction)
- BB(4,3):
- An error was found by Peacemaker II in the filtering process by Terry Ligocki, which was examined and then the setup was fixed - now Terry is rerunning the filters.
Theory
TODO: Update this section after studying existing literature a bit more.
Linear-Inequality Affine Transformation Automata (LIATA) were introduced as a generalization of the BMO1 rules: