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

From BusyBeaverWiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
RobinCodes (talk | contribs)
685 edits
Added BB(2,5) progress
RobinCodes (talk | contribs)
685 edits
→Informal and unverified proofs by domain: BB(2,5) formalisation progress
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: 11 total'''
{| class="wikitable"
{| class="wikitable"
!Domain
!Domain
Line 123: Line 123:
|-
|-
!5-symbol
!5-symbol
|'''11'''
|9
| ---
| ---
| ---
| ---
Line 129: Line 129:
| ---
| ---
|}
|}
<small>'''13 by individual machine. 11 total by eqv. class and proof count.'''</small>
=== [[BB(6)]]: 1 March 2026 ===
=== [[BB(6)]]: 1 March 2026 ===


Line 140: Line 138:
** 1RB0RC_0LC0LB_0LD1LC_0LE1LA_0LF---_1RF1RA (halt, Racheline)
** 1RB0RC_0LC0LB_0LD1LC_0LE1LA_0LF---_1RF1RA (halt, Racheline)


=== [[BB(3,3)]]: 1 March 2026 ===
=== [[BB(3,3)]]: 28 March 2026 ===
''None''
''None''


=== [[BB(2,5)]]: 1 March 2026 ===
=== [[BB(2,5)]]: 28 March 2026 ===


===== 9 informal, 2 unverified (8 informal, 1 unverified by eqv. class) =====
===== 7 informal, 2 unverified (6 informal, 1 unverified by eqv. class) =====


* Dyuan:  
* Dyuan:  
*# [[Beaver Math Olympiad#3. 1RB0RB3LA4LA2RA 2LB3RA---3RA4RB (bbch) and 1RB1RB3LA4LA2RA 2LB3RA---3RA4RB (bbch)|BMO 3]] (2 machines in 1 eqv. class) ([https://discord.com/channels/960643023006490684/1084047886494470185/1252634913220591728 source])
*# [[Beaver Math Olympiad#3. 1RB0RB3LA4LA2RA 2LB3RA---3RA4RB (bbch) and 1RB1RB3LA4LA2RA 2LB3RA---3RA4RB (bbch)|BMO 3]] (2 machines in 1 eqv. class) ([https://discord.com/channels/960643023006490684/1084047886494470185/1252634913220591728 source])
*# 1RB4LA1LB2LA0RB_2LB3RB4LA---1RA ([https://discord.com/channels/960643023006490684/1259770421046411285/1290449717536489622 source])
*# Dekaheptoid, unverified: [[1RB3RB1LB---2RB_2LA1RA4LB2LA2RA]] ([https://discord.com/channels/960643023006490684/1259770421046411285/1267650177389432913 source]), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---  
*# Dekaheptoid, unverified: [[1RB3RB1LB---2RB_2LA1RA4LB2LA2RA]] ([https://discord.com/channels/960643023006490684/1259770421046411285/1267650177389432913 source]), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---  
*# BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB ([https://discord.com/channels/960643023006490684/1259770421046411285/1415337575543214132 source])
*# BMO 3 variant: 1RB0RA3LA4LA2RA_2LB3LA---4RA3RB ([https://discord.com/channels/960643023006490684/1259770421046411285/1415337575543214132 source])
Line 157: Line 154:
*# 1RB3LA4LA2RB1LA_2LA4RB---3RA3LA ([https://discord.com/channels/960643023006490684/1084047886494470185/1254518334406266964 3])
*# 1RB3LA4LA2RB1LA_2LA4RB---3RA3LA ([https://discord.com/channels/960643023006490684/1084047886494470185/1254518334406266964 3])
* [https://discord.com/channels/960643023006490684/1259770421046411285/1329663999700111471 Racheline]: 1RB2LB---4LB0RB_1LA3RB4RB4RA1LB
* [https://discord.com/channels/960643023006490684/1259770421046411285/1329663999700111471 Racheline]: 1RB2LB---4LB0RB_1LA3RB4RB4RA1LB
* [https://discord.com/channels/960643023006490684/1259770421046411285/1428501877947109437 Peacemaker II]: 1RB2LA0LB1LA2RA_0LA3RA1RA4LB---

Revision as of 08:30, 28 March 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

1201

Holdouts list 16+6 Cryptids, Exhausted

18,036,852

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

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

Holdouts list

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 60

Holdouts list (9 informal)

2+4 Cryptids

BB(3,5)
6-symbol 548,993

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: 11 total

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

BB(6): 1 March 2026

2 informal
  • Likely correct: (2)

BB(3,3): 28 March 2026

None

BB(2,5): 28 March 2026

7 informal, 2 unverified (6 informal, 1 unverified by eqv. class)
  • Dyuan:
    1. BMO 3 (2 machines in 1 eqv. class) (source)
    2. Dekaheptoid, unverified: 1RB3RB1LB---2RB_2LA1RA4LB2LA2RA (source), equivalently 1RB3RA2LB1LB1RB_2LA2RA4LA1LA---
    3. 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
Retrieved from "https://wiki.bbchallenge.org/w/index.php?title=User:RobinCodes/Work_on_BB_Domains&oldid=6715"