An implication in orthologic
Ivan Chajda, Radomír Halaš · arXiv (Cornell University) · 2002
We involve a certain propositional logic based on ortholattices. We characterize the implicational reduct of such a logic and we show that its algebraic counterpart is the so-called orthosemilattice. Properties of congruences and congruence kernels of these algebras are described.