TMBR: August 2026

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This Month in Beaver Research

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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).

BB Adjacent

TODO: TT

TODO: Pebble Automaton

TODO: Wang Tiles

TODO: SKI Calculus

Holdouts

• BB(6):
  • prurq found three machines to halt.^[1][2][3]
  • q64 simulated another TM to halt.
  • mxdys released a new holdouts list of 1,016 machines up to equivalence, this is a 4.51% reduction compared to the previous holdouts lists.
  • Later, mxdys released another holdouts list of 1,003 machines up to equivalence.
• BB(2,7):
  • Terry Ligocki enumerated 140K more subtasks, increasing the number of holdouts to 2,615,659,487. A total of 840K subtasks out of the 1 million subtasks (or 84%) have been enumerated.