How did Gregory Chaitin, Andrey Kolmogorov, and Raymond Solomonoff contribute to algorithmic information theory?

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In the 1960s, Gregory Chaitin, Andrey Kolmogorov, and Raymond Solomonoff independently began formulating an objective measure for the intrinsic complexity of information, which laid the foundation for what is now known as algorithmic information theory (AIT).

Their collective work established the core principle of AIT: defining the complexity of a message or object as the length of the shortest algorithm—or step-by-step procedure—required to reproduce it.1

While all three were instrumental in the theory's inception, Gregory Chaitin, a research scientist at IBM, is credited with developing the largest body of work and refining these initial concepts into the formal, structured theory recognized today. Andrey Kolmogorov, a prominent Russian mathematician, contributed to this field as part of his broader, extensive research into information theory, automata theory, and the theory of algorithms during the 1960s.12