🔬 Discovery

Chaitin's constant

Constante de Chaitin

Date
1975 · confidence medium
Place
Yorktown Heights, New York, United States
Credited to
Gregory Chaitin
Field
Knowledge & symbols

What was discovered

Real number representing the probability that a randomly constructed program will halt, built by Gregory Chaitin as an example of a non-computable, algorithmically random number.

What it led to

  • Formalization of algorithmic information theory
  • Concrete examples of undecidability and incompleteness in mathematics
  • Connection between the halting problem and algorithmic randomness
  • Development of Kolmogorov-Chaitin complexity
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Sources✓ verified 2026-09-28