Programmers often reference “Turing-completeness” on the internet, with some domains valuing not being Turing-complete. The author argues that discussions misunderstand the term, highlighting its precise meaning and importance. The piece delves into theoretical results about computation, explaining key concepts like primitive recursive functions and Turing Machines. Part of the content explores Finite State Machines and their limitations compared to Turing Machines. The author also explains how problems unsolvable by a Turing Machine can be constructed. The post serves as an educational resource on fundamental theoretical computer science concepts, providing insights into computation and programming language design.
https://matklad.github.io/2024/08/01/primitive-recursive-functions.html