User:RobinCodes/Work on BB Domains: Difference between revisions

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As of 30 December 2025:
As of 30 December 2025:


<code>Only domains with active filtering going on (decider-wise): BB(2,6) - Andrew Ducharme</code>   
<code>Domains with active filtering going on (decider-wise): BB(2,6), BB(7) - Andrew Ducharme</code>   


{| class="wikitable"
{| class="wikitable"
Line 15: Line 15:
| [[BB(5)]] = 47,176,870
| [[BB(5)]] = 47,176,870
2 Jul 2024
2 Jul 2024
| style="background: orange;" | 1324
| style="background: orange;" | 1310
[https://docs.google.com/spreadsheets/d/1mMp8bAcTFT91j7azn72liX8NSTwc2E_ozKnOGTfRCfw/edit?gid=1330361301#gid=1330361301 Holdouts list]
[https://docs.google.com/spreadsheets/d/1mMp8bAcTFT91j7azn72liX8NSTwc2E_ozKnOGTfRCfw/edit?gid=1330361301#gid=1330361301 Holdouts list]
16+8 Cryptids, Exhausted
16+8 Cryptids, Exhausted
| style="background: orange;" | 19,879,953
| style="background: orange;" | 18,306,495
No Handwork
No Handwork
Andrew Ducharme,
Andrew Ducharme,
Terry Ligocki
Terry Ligocki
Phase 2, Stage 5
Phase 2, Stage 6
|-
|-
! 3-symbol
! 3-symbol
Line 92: Line 92:


== Informal and unverified proofs by domain ==
== Informal and unverified proofs by domain ==
'''Unconfirmed, informal proofs of machines for each domain by equivalence class: 13 total'''
'''Unconfirmed, informal proofs of machines for each domain by equivalence class: 16 total'''
{| class="wikitable"
{| class="wikitable"
!Domain
!Domain
Line 106: Line 106:
|0
|0
|0
|0
|'''1'''
|'''4'''
|-
|-
!3-symbol
!3-symbol
Line 129: Line 129:
| ---
| ---
|}
|}
<small>'''13''' total by eqv. class and proof count. 15 by individual machine.</small>
<small>'''16''' total by eqv. class and proof count. 18 by individual machine.</small>


=== [[BB(6)]]: 16 December 2025 ===
=== [[BB(6)]]: 7 February 2025 ===


===== 1 informal =====
===== 4 informal =====


* Likely correct: (1)
* Likely correct: (4)
** <s>[https://discord.com/channels/960643023006490684/1421782442213376000/1431483206208852001 Shawn, star, Pomme, @mxdys]: BMO 7 verified</s>
** <s>[https://discord.com/channels/960643023006490684/1421782442213376000/1431483206208852001 Shawn, star, Pomme, @mxdys]: BMO 7 verified</s>
** mxdys, Pomme, Autumn Pan, vyx<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1441124403801755730 <nowiki>[1]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1443295684878143579 <nowiki>[2]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444047803935490190 <nowiki>[3]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444051070186819836 <nowiki>[4]</nowiki>]</sup>: <code>1RB1LA_1RC1RE_1LD0RB_1LA0LC_0RF0RD_0RB---</code>
** mxdys, Pomme, Autumn Pan, vyx<sup>[https://discord.com/channels/960643023006490684/1239205785913790465/1441124403801755730 <nowiki>[1]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1443295684878143579 <nowiki>[2]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444047803935490190 <nowiki>[3]</nowiki>][https://discord.com/channels/960643023006490684/1443295684878143579/1444051070186819836 <nowiki>[4]</nowiki>]</sup>: <code>1RB1LA_1RC1RE_1LD0RB_1LA0LC_0RF0RD_0RB---</code>
** 3 more machines that halt. (See [https://docs.google.com/spreadsheets/d/1mMp8bAcTFT91j7azn72liX8NSTwc2E_ozKnOGTfRCfw/edit?gid=1330361301#gid=1330361301 spreadsheet] labeled as (?))


=== [[BB(3,3)]]: 25 October 2025 ===
=== [[BB(3,3)]]: 25 October 2025 ===

Revision as of 19:49, 7 February 2026

Progress by domain

As of 30 December 2025:

Domains with active filtering going on (decider-wise): BB(2,6), BB(7) - Andrew Ducharme

Work on BB Domains
2-state 3-state 4-state 5-state 6-state 7-state
2-symbol BB(2) = 6 BB(3) = 21 BB(4) = 107 BB(5) = 47,176,870

2 Jul 2024

1310

Holdouts list 16+8 Cryptids, Exhausted

18,306,495

No Handwork Andrew Ducharme, Terry Ligocki Phase 2, Stage 6

3-symbol BB(2,3) = 38 4

Holdouts list (3 informal) 1 Cryptid, Exhausted

9,401,447

No Handwork Terry Ligocki Phase 2, Stage 2

4-symbol BB(2,4) = 3,932,964 12,435,284

No Handwork XnoobSpeakable, Lúkos

Phase 2, Stage 10C

5-symbol 63

Holdouts list (11 informal)

2+4 Cryptids

BB(3,5)
6-symbol 869,001

Andrew Ducharme, Terry Ligocki No Handwork, Exhausted

7-symbol Enumeration started!

09xxx done

(10/100)

Expected no. of holdouts: 3B

Current: 300M

Enumeration

The enumeration process for BB(2,7) has started, and 5% has so far been completed. BB(8) is (tested from a random sample) even harder to enumerate. These processes will take a very long time and much collaborative work to complete. As for BB(3x5), BB(4x4), BB(5x3), enumeration may still be possible, but also incredibly difficult. Any domains after these are probably complete out-of-reach of current technology.

Informal and unverified proofs by domain

Unconfirmed, informal proofs of machines for each domain by equivalence class: 16 total

Domain 2-state 3-state 4-state 5-state 6-state
2-symbol 0 0 0 0 4
3-symbol 0 3 ---- --- ---
4-symbol 0 --- --- --- ---
5-symbol 9 --- --- --- ---

16 total by eqv. class and proof count. 18 by individual machine.

BB(6): 7 February 2025

4 informal

BB(3,3): 25 October 2025

3 informal
  • Legion: (long. analysis) informal
    1. 1RB2LB0LC_2LA2RA1RB_---2LA1LC (1)
    2. 1RB1LC1LC_1LA2RB0RB_2LB---0LA (2)
    3. 1RB0RC---_2RC0LB1LB_2LC2RA2RB (3)

BB(2,5): 25 October 2025

9 informal, 2 unverified (8 informal, 1 unverified by eqv. class)
  • Dyuan:
    1. BMO 3 (2 machines in 1 eqv. class) (source)
    2. 1RB4LA1LB2LA0RB_2LB3RB4LA---1RA (source)
    3. Dekaheptoid, unverified: 1RB3RB1LB---2RB_2LA1RA4LB2LA2RA (source), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---
    4. BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB (source)
  • Legion:
    1. 1RB2RA3LA4LA2RB_2LA---1LA1RA3RA (1)
    2. 1RB3LA4LA1LA2RA_2LA4RB---0RA0LA (2)
    3. 1RB3LA4LA2RB1LA_2LA4RB---3RA3LA (3)
  • Racheline: 1RB2LB---4LB0RB_1LA3RB4RB4RA1LB
  • Peacemaker II: 1RB2LA0LB1LA2RA_0LA3RA1RA4LB---
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