parallelism vs correspondence

parallelism and correspondence both are nouns.

Word	Noun	Adjective	Verb	Adverb
parallelism	Yes	No	No	No
correspondence	Yes	No	No	No

As nouns, parallelism and correspondence are synonyms defined as:

parallelism (noun)	correspondence (noun)
similarity by virtue of corresponding	similarity by virtue of corresponding
	compatibility of observations
	(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane
	communication by the exchange of letters
	the relation of corresponding in degree or size or amount