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Algorithmic Information Theory

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3 domain-specific abstractions whose origin domain is Algorithmic Information Theory.

  • Incompressibility method — A proof method that selects a Kolmogorov-incompressible object and shows that failure of the desired property would yield an impossibly shorter description.
  • Kolmogorov complexity — The length of the shortest program for a fixed universal description language that outputs a given finite object and halts.
  • Sophistication (complexity theory) — An algorithmic-information measure of the shortest model in which a string is a typical member at a declared significance tolerance.