The phrase "corresponds to" is used to describe a connection between two things, but there are several other words that can be used in its place. One option might be "matches," which implies a direct similarity or equivalence between two things. Another synonym might be "aligns with," which suggests a connection based on shared values or goals. "Equals" could also work, although this implies a more precise or mathematical connection. Other choices might include "relates to," "links to," "parallels," or "coincides with." Ultimately, the best synonym will depend on the context and intended meaning of the sentence.