correction vs punishment

correction and punishment both are nouns.

Word	Noun	Adjective	Verb	Adverb
correction	Yes	No	No	No
punishment	Yes	No	No	No

As nouns, punishment is a hypernym of correction; that is, punishment is a word with a broader meaning than correction:

Other hypernyms of correction include penalisation, penalization, penalty.

correction (noun)	punishment (noun)
the act of offering an improvement to replace a mistake; setting right	the act of punishing, or the infliction of a penalty
treatment of a specific defect
the act of disciplining
a drop in stock market activity or stock prices following a period of increases
a rebuke for making a mistake
something substituted for an error
a quantity that is added or subtracted in order to increase the accuracy of a scientific measure