Mother of Giants: Difference between revisions
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(→Overview over the children: Expanded overview) |
(Completed overview table) |
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|{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1RC0LA}} and {{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LC0LA}} | |{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1RC0LA}} and {{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LC0LA}} | ||
|Probviously quasihalting | |Probviously quasihalting Cryptids | ||
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|{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LA0LA}} | |{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LA0LA}} | ||
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|{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_0RC0LA}} (current champion) and {{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_0LD0LA}} | |{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_0RC0LA}} (current champion) and {{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_0LD0LA}} | ||
|Quasihalt after <math>> 10^{14\,006}</math> steps.<ref name=":0">https://www.sligocki.com/2022/04/03/mother-of-giants.html</ref> | |Quasihalt after <math>> 10^{14\,006}</math> steps.<ref name=":0">https://www.sligocki.com/2022/04/03/mother-of-giants.html</ref> | ||
|- | |||
|{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_1RD0LA}} | |||
|Quasihalts after about <math>10^{12\,978}</math> steps.<ref>https://groups.google.com/g/busy-beaver-discuss/c/zUiw3G7hR8E</ref> | |||
|- | |||
|{{TM|1RB1LE_0LC0LB_0LD1LC_1RD1RA_0RD0LA}} | |||
|Quasihalts after about <math>10^{4\,079}</math> steps.<ref name=":0"/> | |||
|} | |} | ||
See https://www.sligocki.com/2022/04/03/mother-of-giants.html for details. | See https://www.sligocki.com/2022/04/03/mother-of-giants.html for details. | ||
==References== | |||
[[Category:Individual machines]] | [[Category:Individual machines]] | ||
[[Category:Cryptids]] | [[Category:Cryptids]] | ||
Revision as of 15:32, 28 August 2025
Unsolved problem:
Does the Mother of Giants quasihalt? If so, how many steps does it take to quasihalt?
The Mother of Giants is a collection of adjacent Turing machines, some of which are Cryptids in the 5-state Beeping Busy Beaver problem that probviously quasihalt. They must all be proven to halt or not if we want to solve BBB(5).
The TMs are all the "children" of 1RB1LE_0LC0LB_0LD1LC_1RD1RA_---0LA where children means all the TMs created by filling in the undefined E0 transition.
Overview of the children
An overview of the 8 most interesting children.
| Machine | Status |
|---|---|
1RB1LE_0LC0LB_0LD1LC_1RD1RA_1RC0LA (bbch) and 1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LC0LA (bbch)
|
Probviously quasihalting Cryptids |
1RB1LE_0LC0LB_0LD1LC_1RD1RA_1LA0LA (bbch)
|
Probviously quasihalting Cryptid |
1RB1LE_0LC0LB_0LD1LC_1RD1RA_0LC0LA (bbch)
|
Probviously quasihalting Cryptid |
1RB1LE_0LC0LB_0LD1LC_1RD1RA_0RC0LA (bbch) (current champion) and 1RB1LE_0LC0LB_0LD1LC_1RD1RA_0LD0LA (bbch)
|
Quasihalt after steps.[1] |
1RB1LE_0LC0LB_0LD1LC_1RD1RA_1RD0LA (bbch)
|
Quasihalts after about steps.[2] |
1RB1LE_0LC0LB_0LD1LC_1RD1RA_0RD0LA (bbch)
|
Quasihalts after about steps.[1] |
See https://www.sligocki.com/2022/04/03/mother-of-giants.html for details.