algorithmic information theory

Algorithmic information theory (AIT) is a field that emerged in the 1960s, with significant contributions from Gregory Chaitin, Andrey Kolmogorov, and Raymond Solomonoff. AIT provides an objective measure of a message's intrinsic complexity.1

The core idea of AIT is to define the complexity of a message by the length of the shortest algorithm, or step-by-step procedure, required to reproduce it. This approach uses mathematical concepts to quantify information and complexity. Information theory, in general, is a mathematical framework for understanding the transmission and processing of information, pioneered by Claude Shannon. While AIT delves into the inherent complexity of messages, broader information theory has applications in fields like communication engineering, linguistics, and cryptology.123