Zheghalkin-Boolean Calculus
Rings and Algebras
2020-02-06 v2
Abstract
Boolean calculus has been studied extensively in the past in the context of switching circuits, error-correcting codes etc. This work generalizes several approaches to defining a differential calculus for Boolean functions. A unified theory of Boolean calculus, complete with k-forms and integration, is presented through the use of Zhegalkin algebras (i.e., algebraic normal forms), culminating in a Stokes-like theorem for Boolean functions.
Cite
@article{arxiv.2001.09986,
title = {Zheghalkin-Boolean Calculus},
author = {Sriram Nagaraj},
journal= {arXiv preprint arXiv:2001.09986},
year = {2020}
}
Comments
9 pages