A developmental process, independent of morphogenetic (shape) change, that is required for the cerebellum to attain its fully functional state. The cerebellum is the portion of the brain in the back of the head between the cerebrum and the pons. The cerebellum controls balance for walking and standing, modulates the force and range of movement and is involved in the learning of motor skills. [ GOC:cls GOC:dgh http://openisbn.com/search.php?q=0838580343&isbn=1/ http://purl.obolibrary.org/obo/go/references/0000021 GOC:jid GOC:dph ]