User:RobinCodes/Work on BB Domains

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Page to collect the BB Domains and their status. Holdout counts are machines that do not have a formal Rocq proof.

As of 29/09/2025

Domain 2-state 3-state 4-state 5-state 6-state 7-state 8-state
2-symbol 0 Holdouts 0 Holdouts 0 Holdouts 0 Holdouts

July 2, 2024

1,686 Holdouts

Exhausted (decider-wise)

22,801,601 Holdouts, Phase 2 Stage 4 in-progress ???
3-symbol 0 Holdouts 4+4 Holdouts

Exhausted (decider-wise) BB3x3 month October (4 informal longitudinal proofs by @Legion) 1 Cryptid

50,835,926

Terry Ligocki (6 passes done)

Andrew Ducharme filtering with Ligockis' code (2 passes, more in-progress)

???
4-symbol 0 Holdouts

Aug. 22, 2024

434,787,751

XnoobSpeakable and Lúkos currently filtering

???
5-symbol 75 Holdouts

Exhausted (decider-wise) Some informal proofs exist 2+4 Cryptids (4 probable)

???
6-symbol 873,469-1

Holdouts Exhausted (decider-wise)

1 by hand

???
7-symbol ????

I also wanted to study at what point are domains infeasible with reasonable resources and time, but this is for the future of this page. ???? And after are completely (almost) unexplored.