User:RobinCodes/Work on BB Domains

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Revision as of 16:23, 8 October 2025 by RobinCodes (talk | contribs) (Updated values. Updated table formatting. Added "active filtering 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 08/10/2025

Only domains with active filtering going on (decider-wise): BB(3,4) [Stage 3] Xnoob and Lúkos, BB(4,3) [Stage 2] Terry Ligocki, BB(7) [Stage 4] Andrew Ducharme

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

July 2, 2024

1,674

(2 informal) Exhausted (decider-wise)

22,721,168 Phase 2, Stage 4

inprogress

?????
3-symbol 0 4+4 Holdouts

Exhausted (decider-wise)

(4 informal longitudinal proofs by @Legion)

1 Cryptid

~33.8M Holdouts

Terry Ligocki Phase 2, Stage 2 inprogress

??????????????
4-symbol 0

Aug. 22, 2024

37,016,957

XnoobSpeakable and Lúkos currently filtering

Phase 2, Stage 3 inprogress

?????????????
5-symbol 75 Holdouts

Exhausted (decider-wise)

Some informal proofs exist

2+4 Cryptids (4 probable)

?????????????
6-symbol 870,085

Exhausted (decider-wise)

?????????????
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 almost completely unexplored.