[...] identity is asserted by a rule of exact copying and has no special, durable status: like other rule effects, it is guaranteed to hold only at the derivational instant when the copy rule applies, and it is as subject to the same vagaries of earlier and later derivation as any other rule product.
- McCarthy & Prince (2004), a pag.386

Correspondence Theory sees identity as intrinsic to reduplication, with no separation between these two ways of achieving and mantaining it.
- McCarthy & Prince (2004), a pag.387