Usually means: Maximally productive Turing machine program.
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We found 10 dictionaries that define the word busy beaver:

General (3 matching dictionaries)
  1. busy beaver: Wiktionary
  2. Busy Beaver: Dictionary.com
  3. Busy Beaver, Busy beaver: Wikipedia, the Free Encyclopedia

Computing (3 matching dictionaries)
  1. Busy Beaver: Free On-line Dictionary of Computing
  2. busy beaver: Dictionary of Algorithms and Data Structures
  3. Busy Beaver: Encyclopedia

Medicine (1 matching dictionary)
  1. online medical dictionary (No longer online)

Science (2 matching dictionaries)
  1. Busy Beaver: Eric Weisstein's World of Mathematics
  2. FOLDOP - Free On Line Dictionary Of Philosophy (No longer online)

Slang (1 matching dictionary)
  1. busy beaver: Urban Dictionary

Definitions from Wiktionary (busy beaver)

noun:  (informal) Someone who is very busy or hard-working.
noun:  (computing theory) A Turing machine that attains the maximum number of steps performed, or number of non-blank symbols finally on the tape, among all Turing machines in a certain class.

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