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Synonyms for Asleep (same or very similar meaning)

WordNet sense 1 (lacking sensation):
benumbed, numb

WordNet sense 2 (incapable of physical sensation):
insensible

WordNet sense 3 (inclined to or marked by drowsiness):
somnolent

WordNet sense 4 (in a condition of biological rest or suspended animation):
dormant

WordNet sense 5 (in a state of repose or especially sleep):
at rest

WordNet sense 6 (dead):
deceased, departed, gone, at peace

WordNet sense 7 (no longer having or seeming to have or expecting to have life):
dead


From the ODE community, based on WordNetadd/edit