On (3,3)-Homogeneous greechie orthomodular posets

Abstract

We describe (3,3)-homogeneous orthomodular posets for some cardinality of their sets of atoms. We examine a state space and a set of two-valued states of such logics. Particular homogeneous OMPs with exactly k pure states (k = 1,...,7, 10,11) have been constructed. © 2005 Springer Science + Business Media, Inc.