


benbrubaker.com8mo agoWe prove that $S(5) = 47,176,870$ using the Coq proof assistant. The Busy Beaver value $S(n)$ is the maximum number of steps that an $n$-state 2-symbol Turing machine can perform from the all-zero tape before halting, and $S$ was historically introduced b

The operational primitives of deep learning, primarily matrix multiplication and convolution, existas a fragmented landscape of highly specialized tools. This paper introduces the Generalized WindowedOperation (GWO), a theoretical framework that unifies t
The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.

