Algorithmic Information Theory

Algorithmic Information Theory is a branch of theoretical computer science and mathematics that studies the concept of information through the lens of algorithms. It quantifies the complexity of data by measuring the shortest program (or algorithm) that can produce a given piece of information, like a string of text. This theory helps us understand how much information is contained in data, how to compress it, and the limits of what can be computed. Essentially, it connects the ideas of information, randomness, and computability, revealing deeper insights into how information is structured and processed.