#Computability
2 posts in tag “Computability”.
Kolmogorov Complexity and Algorithmic Information Theory: The Deepest Measure of Information
2025-07-30Dive into algorithmic information theory: Kolmogorov complexity as the ultimate measure of information content, its relationship to randomness (Martin-Löf tests), the incompressibility method for proving lower bounds, and the philosophical implications for science and mathematics.
The Lambda Calculus and Combinatory Logic: The Minimalist Foundations of All Computation
2025-05-06Rediscover the lambda calculus as the essence of computation: Church's elegant system of function definition and application, its equivalence to Turing machines, the fixed-point combinator, and its enduring influence on programming languages from Lisp to Haskell.