correspondence vs parallelism

correspondence and parallelism both are nouns.

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

As nouns, correspondence and parallelism are synonyms defined as:

correspondence (noun)	parallelism (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