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Minimal Axiomatization of Boolean Algebras

Logic 2025-08-21 v3

Abstract

In this paper, we present a new axiomatic system that is a minimal axiomatization of Boolean algebras. Furthermore, the symmetric difference is shown to be algebraically analogous to the modular difference of two numbers. Finally, a new method to prove equivalent relations in a Boolean algebra is also given.

Keywords

Cite

@article{arxiv.2304.02224,
  title  = {Minimal Axiomatization of Boolean Algebras},
  author = {Eugene Zhang},
  journal= {arXiv preprint arXiv:2304.02224},
  year   = {2025}
}

Comments

The paper is found incorrect and will not be published (in near future)