Mathematicians have finally pinned down the ninth Dedekind number, a 42 digit integer that had been taunting them since 1991. It counts a very specific kind of logical rule, and getting that count ...

Mathematics is a fascinating subject with many unsolved mysteries, such as the Riemann hypothesis, Fermat’s last theorem, Goldbach’s conjecture, and Dedekind’s numbers. The Dedekind numbers were first ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

This Python library implements the set of rules described in arxiv:2407.01337, to compute the immediate neighbours of a given monotone non-degenerate Boolean function, without the need to generate the ...

Abstract: The problem of counting all inequivalent monotone Boolean functions of nine variables is considered. We solve the problem using known algorithms and deriving new ones when necessary. We ...

Mathematicians have solved a 32-year-old problem. They found what is known as the ninth Dedekind number, the latest in a set of numbers that follow a very specific set of rules. The last Dedekind ...

Mathematicians at Paderborn University and KU Leuven, using the Noctua supercomputer and specialized hardware accelerators, have solved a decades-old problem by calculating the ninth Dedekind number, ...

Making history with 42 digits: Scientists have unlocked a decades-old mystery of mathematics with the so-called ninth Dedekind number. Experts worldwide have been searching for the value since 1991.