The modal logic of cluster-decomposable Kripke interpretations (Q2425352)

The authors introduce the class of so-called cluster-decomposable Kripke models. They study the corresponding modal logic, C, which is related to systems describing knowledge. Two alternative axiomatizations of C are given in the paper. Moreover, independence of the proposed axioms is proved, modalities in C are classified, and the connection between C and S4.2 is examined.