Holdouts lists: Difference between revisions
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A '''holdout''' (or undecided machine) is a [[Turing machine]] for which it is not known whether the machine halts or not from all-0 input tape. Holdouts are the machines which [[Decider|deciders]] are unable to decide. | A '''holdout''' (or undecided machine) is a [[Turing machine]] for which it is not known whether the machine halts or not from all-0 input tape. Holdouts are the machines which [[Decider|deciders]] are unable to decide. | ||
Holdout lists are often shared by contributors. There is a [[#Downloadable Holdout Lists|Downloadable Holdout Lists]] table where people have added lists with no restriction or independent verification. | Holdout lists are often shared by contributors. There is a [[#Downloadable Holdout Lists|Downloadable Holdout Lists]] table where people have added lists with no restriction or independent verification. For some of the entries there is a reference to a spreadsheet that documents what was run to achieve the result. For others, there is additional documentation on the specific BB pages. | ||
The table with the "Number of holdouts" is based on the holdout lists listed in the table below it. Thus, some of these numbers have not been independently verified. All the zero entries (no remaining holdouts) have been verified. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+Number of holdouts | |+Number of holdouts | ||
| Line 12: | Line 13: | ||
!5-state | !5-state | ||
!6-state | !6-state | ||
!7-state | |||
|- | |- | ||
!2-symbol | !2-symbol | ||
| Line 18: | Line 20: | ||
|0 | |0 | ||
|0 | |0 | ||
| | |2,728 | ||
|85,853,789 | |||
|- | |- | ||
!3-symbol | !3-symbol | ||
| Line 24: | Line 27: | ||
|6 | |6 | ||
|460,916,384 | |460,916,384 | ||
| | |||
| | | | ||
| | | | ||
| Line 30: | Line 34: | ||
|0 | |0 | ||
|434,787,751 | |434,787,751 | ||
| | |||
| | | | ||
| | | | ||
| Line 35: | Line 40: | ||
|- | |- | ||
!5-symbol | !5-symbol | ||
| | |83 | ||
| | |||
| | | | ||
| | | | ||
| Line 43: | Line 49: | ||
!6-symbol | !6-symbol | ||
|22,302,296 | |22,302,296 | ||
| | |||
| | | | ||
| | | | ||
| Line 58: | Line 65: | ||
!File | !File | ||
!Notes | !Notes | ||
|- | |||
|[[BB(6)]] | |||
|[https://discord.com/channels/960643023006490684/1239205785913790465/1399783936019664896 July 29 2025] | |||
|@mxdys | |||
|2,728 | |||
|[[:File:BB6 holdouts 2728.txt|BB6 holdouts 2728.txt]] | |||
| | |||
|- | |||
|[[BB(2,5)]] | |||
|[https://discord.com/channels/960643023006490684/1259770421046411285/1355593937531961365 March 29 2025] | |||
|@mxdys | |||
|83 | |||
|[[:File:BB2x5 Coq holdouts 83.txt]] | |||
|- | |- | ||
|[[BB(4,3)]] | |[[BB(4,3)]] | ||
| Line 126: | Line 146: | ||
|@mxdys | |@mxdys | ||
|217 | |217 | ||
|File | |[[:File:2x5_holdouts_217.txt]] | ||
|273 holdouts minus machines solved by CTL | |273 holdouts minus machines solved by CTL | ||
|- | |- | ||
| Line 190: | Line 210: | ||
|2,417 | |2,417 | ||
|[[:File:2023 06 07.3x3.holdouts 2417.txt]] | |[[:File:2023 06 07.3x3.holdouts 2417.txt]] | ||
| | | | ||
|- | |- | ||
| Line 212: | Line 225: | ||
|[https://drive.google.com/file/d/14bDnBt0OwuHATFBiubc_5jub0220EyXf/view?usp=drive_link 6x2.holdouts_1458704.txt.gz] | |[https://drive.google.com/file/d/14bDnBt0OwuHATFBiubc_5jub0220EyXf/view?usp=drive_link 6x2.holdouts_1458704.txt.gz] | ||
|This was posted to the BBChallenge Forum (before Discord) | |This was posted to the BBChallenge Forum (before Discord) | ||
|- | |- | ||
|[[BB(5)]] | |||
|[https://skelet.ludost.net/bb/nreg.html circa May 13th, 2003] | |||
|Georgi Georgiev (Skelet) | |||
|43 | |||
|[https://bbchallenge.org/skelet List of 43 holdouts] | |||
| | |||
|} | |} | ||
Latest revision as of 14:55, 18 August 2025
A holdout (or undecided machine) is a Turing machine for which it is not known whether the machine halts or not from all-0 input tape. Holdouts are the machines which deciders are unable to decide.
Holdout lists are often shared by contributors. There is a Downloadable Holdout Lists table where people have added lists with no restriction or independent verification. For some of the entries there is a reference to a spreadsheet that documents what was run to achieve the result. For others, there is additional documentation on the specific BB pages.
The table with the "Number of holdouts" is based on the holdout lists listed in the table below it. Thus, some of these numbers have not been independently verified. All the zero entries (no remaining holdouts) have been verified.
| 2-state | 3-state | 4-state | 5-state | 6-state | 7-state | |
|---|---|---|---|---|---|---|
| 2-symbol | 0 | 0 | 0 | 0 | 2,728 | 85,853,789 |
| 3-symbol | 0 | 6 | 460,916,384 | |||
| 4-symbol | 0 | 434,787,751 | ||||
| 5-symbol | 83 | |||||
| 6-symbol | 22,302,296 |