Normalization and DBMS

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Codd 1970 ACM paper:
"A first-order predicate calculus suffices if the collection of relations is
in normal form."
"Such a language would provide a YARDSTICK of linguistic power for all other
proposed data languages."

Someone claimed in this group that normalization is not "good" . How powerful is the data language of an (existing) DBMS not based on
"normalization" ?

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