Full Idea
The system K4 has the 'transitive' condition imposed on its accessibility relation - that is, if a relation holds between worlds 1 and 2 and worlds 2 and 3, it must hold between worlds 1 and 3. The relation carries over.
Gist of Idea
The system K4 has the 'transitive' condition on its accessibility relation
Source
M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.8)
Book Reference
Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.19