 Theorem 5: Self-referentiality can be avoided in realizations of modal logics  \(\mathsf{K}\) and  \(\mathsf{D}\).  Self-referentiality cannot be avoided in realizations of modal logics  \(\mathsf{T} , \mathsf{K4} , \mathsf{D4}\)  and  \(\mathsf{S4}\). 