We investigate partial order reduction for model checking multi-agent systems by focusing on interleaved interpreted systems. These are a particular class of interpreted systems, a mainstream MAS formalism, in which only one action at the time is performed. We present a notion of stuttering-equivalence, and prove the semantical equivalence of stuttering-equivalent traces with respect to linear and branching time temporal logics for knowledge without the next operator. We give algorithms to reduce the size of the models before the model chechking step and show preservation properties. We evaluate the technique by discussing the experimental results obtained against well-known examples in the MAS literature