We involve a certain propositional logic based on an ortholattice. We characterize the implication reduct of such a logic and show that its algebraic counterpart is the so-called orthosemilattice. Properties of congruences and congruence kernels of these algebras are described.
We involve a certain propositional logic based on an ortholattice. We characterize the implication reduct of such a logic and show that its algebraic counterpart is the so-called orthosemilattice. Properties of congruences and congruence kernels of these algebras are described. (en)
Je odvozena výroková logika založená na ortosvazech. Dokazuje se, že algebraický protějšek implikačního reduktu je tzv. ortopolosvaz. Dále jsou popsány vlastnosti kongruencí a kongruenční jádra. (cs)