The Horn theory of Boole's partial algebras
Stanley N. Burris, H. P. Sankappanavar · Bulletin of Symbolic Logic · 2013
Abstract This paper augments Hailperin's substantial efforts (1976/1986) to place Boole's algebra of logic on a solid footing. Namely Horn sentences are used to give a modern formulation of the principle that Boole adopted in 1854 as the foundation for his algebra of logic—we call this principle The Rule of 0 and 1.