User:RobinCodes/Work on BB Domains
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) |
22,721,168 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, error found, currently rerunning) Andrew Ducharme filtering with Ligockis' code (2 passes, more in-progress) |
??? | |||
4-symbol | 0 Holdouts
Aug. 22, 2024 |
64,777,377
XnoobSpeakable and Lúkos currently filtering (1 pass done) |
??? | ||||
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.