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Busy Beaver Game Yields New Turing Machine Record

8/23/2025

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Story summary
  • The busy beaver game, created by Tibor Radó in 1962, examines Turing machines' runtimes before halting.
  • In the 1990s and 2000s, busy beaver hunters, including Shawn Ligocki and his father, made notable discoveries.
  • In 2007, they identified a six-rule Turing machine with a runtime of nearly 3,000 digits.
  • Slovakian student Pavel Kropitz later found a machine with over 30,000 digits, holding the record for 12 years.
  • Ligocki discovered a new record holder in 2022.