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Synonyms for Correspondence (same or very similar meaning)

WordNet sense 1 (the relation of corresponding in degree or size or amount):
commensurateness, proportionateness

WordNet sense 2 (a function such that for every element of one set there is a unique element of another set):
map, mapping

WordNet sense 3 ((mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane):
balance, symmetry, symmetricalness

WordNet sense 4 (similarity by virtue of corresponding):
parallelism

WordNet sense 5 (compatibility of observations):
agreement


From the ODE community, based on WordNetadd/edit