Skelet's 43 holdouts

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Skelet's 43 holdouts are 43 different 5-state, 2-symbol machines made public by Skelet in 2003. These machines are derived from a set of 164 machines that were left undecided by Skelet's bbfind program, which classified all other 5-state, 2-symbol machines into either halting or non-halting.[1] Due to the length and lack of comments in bbfind's source code, Skelet's work is believed to not have been independently verified.[2] It is now known that all 43 of these holdouts do not halt.[3]

Other work done in bbfind includes computing the correct value of BB(4).[1]

https://bbchallenge.org/skelet

  1. 1.0 1.1 Skelet, "Busy Beaver prover" (2003). Accessed 29 August 2024.
  2. "Story" (section "Skelet's 43 undecided machines").
  3. "Skelet’s 43 machines".