User:XnoobSpeakable/Holdouts-temp: Difference between revisions

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BB(6) technicalities
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The top table may or may not match the one found at [[Holdouts lists]] depending on the timing of when these lists get updated. I will keep track of the list on this page seperately. The bottom list will include unfinished work that I have noticed on Discord that will not be in other wiki pages.
UNTIL I UPDATE THIS PLEASE USE THE CHART HERE: [[User:RobinCodes/Work on BB Domains]] MADE BY ROBINCODES.
{| class="wikitable"
|+Number of holdouts (latest exact counts)
!
!2-state
!3-state
!4-state
!5-state
!6-state
!7-state
|-
!2-symbol
|0
|0
|0
|0
|1691*
|23,314,388
|-
!3-symbol
|0
|6***
|97,701,052
|
|
|
|-
!4-symbol
|0
|434,787,751
|
|
|
|
|-
!5-symbol
|75
|
|
|
|
|
|-
!6-symbol
|873,469
|
|
|
|
|
|}
<nowiki>*</nowiki>The 1691 holdouts are based on equivalence classes. The amount of individual unsolved TMs in TNF is currently 3171. The holdouts for every other entry use the unsolved TNF TM count as well.
{| class="wikitable"
|+Number of holdouts (in-progress and approximate values)
!
!2-state
!3-state
!4-state
!5-state
!6-state
!7-state
|-
!2-symbol
|0
|0
|0
|0
|1688*'''◊''' / 3168*'''◊'''
|23,314,388
|-
!3-symbol
|0
|6***
|88,914,343
|
|
|
|-
!4-symbol
|0
|<434,787,751**
|
|
|
|
|-
!5-symbol
|75
|
|
|
|
|
|-
!6-symbol
|873,469
|
|
|
|
|
|}
<nowiki>**</nowiki>I am currently working on BB(3,4) and have removed some holdouts, however, the partial progress has not been merged and the reduction has not been counted.


After the work is done, I will upload my results and update the value in the table. I suspect a reduction to ~65M will be achievable.
ONCE I UPDATE THIS, I WILL REVERT THIS EDIT WITH WHICH I HAVE BLANKED THE TABLE
 
Said work was supposed to be done by the end of this week as I am typing (which is tomorrow, 2025-09-28), however, I have delayed it to the end of next week, which is 2025-10-05 to those reading in the future.
 
'''Other technicalities:'''
 
<nowiki>***</nowiki>This addendum applies to both tables. For BB(3,3), the most commonly accepted value is 6 holdouts<ref>https://discord.com/channels/960643023006490684/1084047886494470185/1421447666889523260</ref>, however, there are other values that I want to highlight in the table below:
{| class="wikitable"
!BB(3,3) holdouts
!Unproven
!Proven
|-
!By TNF
|6
|10
|-
!By Equivalence Classes
|4
|Not Applied Yet.
|}
'''◊'''For BB(6), it is quite difficult to keep track of in-progress holdout changes, as they are usually posted sporadically or not posted at all. I cannot guarantee the accuracy of these values in the 2nd table. Also note that in table 1, the values are proven (formally verified), but in table 2, that may or may not be true.

Latest revision as of 11:20, 15 November 2025

UNTIL I UPDATE THIS PLEASE USE THE CHART HERE: User:RobinCodes/Work on BB Domains MADE BY ROBINCODES.

ONCE I UPDATE THIS, I WILL REVERT THIS EDIT WITH WHICH I HAVE BLANKED THE TABLE

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