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

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== Progress by domain ==
== Progress by domain ==
As of 26 November 2025:
As of 19 December 2025:


<code>Only domains with active filtering going on (decider-wise): None</code>   
<code>Only domains with active filtering going on (decider-wise): BB(3,4) - XnoobSpeakable and Lúkos</code>   


{| class="wikitable"
{| class="wikitable"
Line 16: Line 16:
2 Jul 2024
2 Jul 2024
| style="background: orange;" | 1342
| style="background: orange;" | 1342
[https://docs.google.com/spreadsheets/d/10y2aMp9yZVLyN-nXAxgA25rw4EA_lJqn3Vxy2kB-m-U/ 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;" | 20,405,295
| style="background: orange;" | 20,405,295
Line 39: Line 39:
! 4-symbol   
! 4-symbol   
| [[BB(2,4)]] = 3,932,964
| [[BB(2,4)]] = 3,932,964
| style="background: #ffe4b2;" | 14,518,243
| style="background: #ffe4b2;" | 14,413,460
No Handwork  
No Handwork  
[[User:XnoobSpeakable|XnoobSpeakable,]] [[User:WarpedWartWars|Lúkos]]
[[User:XnoobSpeakable|XnoobSpeakable,]] [[User:WarpedWartWars|Lúkos]]


Phase 2, Stage 8
Phase 2, Stage 10 in-progress
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
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2+4 Cryptids
2+4 Cryptids
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |[[BB(3,5)]]
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
Line 72: Line 72:
!7-symbol
!7-symbol
| style="background: #ffe4b2;" |Enumeration started!
| style="background: #ffe4b2;" |Enumeration started!
04xxx done
06xxx done


(5/100)
(7/100)


Expected no. of holdouts: 3B
Expected no. of holdouts: 3B


Current: 150M
Current: 210M
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
| style="background: #ffe4b2;" |
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|0
|0
|0
|0
|'''1'''+6
|'''1'''
|-
|-
!3-symbol
!3-symbol
Line 127: Line 127:
| ---
| ---
|}
|}
<small>'''13'''+6=19 total by eqv. class and proof count. 15+6=21 by individual machine.</small>
<small>'''13''' total by eqv. class and proof count. 15 by individual machine.</small>


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


===== 1+6 informal =====
===== 1 informal =====


* Likely correct: (1)
* Likely correct: (1)
** <s>[https://discord.com/channels/960643023006490684/1421782442213376000/1431483206208852001 Shawn, star, Pomme, @mxdys]: BMO 7</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>
* Very unlikely to be correct: (6), see [https://docs.google.com/spreadsheets/d/10y2aMp9yZVLyN-nXAxgA25rw4EA_lJqn3Vxy2kB-m-U spreadsheet] (Search term: "unverified result").


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

Latest revision as of 18:29, 19 December 2025

Progress by domain

As of 19 December 2025:

Only domains with active filtering going on (decider-wise): BB(3,4) - XnoobSpeakable and Lúkos

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

1342

Holdouts list 16+8 Cryptids, Exhausted

20,405,295

No Handwork Andrew Ducharme, Terry Ligocki Phase 2, Stage 5

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 14,413,460

No Handwork XnoobSpeakable, Lúkos

Phase 2, Stage 10 in-progress

5-symbol 64

Holdouts list (11 informal)

2+4 Cryptids

BB(3,5)
6-symbol 870,085

No Handwork, Exhausted

7-symbol Enumeration started!

06xxx done

(7/100)

Expected no. of holdouts: 3B

Current: 210M

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: 13 total

Domain 2-state 3-state 4-state 5-state 6-state
2-symbol 0 0 0 0 1
3-symbol 0 3 ---- --- ---
4-symbol 0 --- --- --- ---
5-symbol 9 --- --- --- ---

13 total by eqv. class and proof count. 15 by individual machine.

BB(6): 16 December 2025

1 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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