Meaning "correspondence" as "letters" or "exchange of letters" (not similarity), which sentence would be more appropriate (may be there are only subtle differences in style):
- The correspondence of A with B.
- The correspondence between A and B.
I've seen also:
- The A-B correspondence.
Are they interchangeable? I mean when both persons write, not the case "from A to B" or vice versa.
Also, is it possible in this context replace "correspondence" with "letters" (in every sentence)?
The word correspondence is defined as the exchange of letters. Furthermore, if you look up the word exchange it is defined as the giving of something for something else (in this case letters).
By this definition there is an exchange of letters in both sentences regardless of whether you use with or between
In other words, the use of the word correspondence, by definition, already tells us that letters go from A to B and visa versa.
In the sentences you have provided you cant substitute letters for correspondence because correspondence refers to the exchange and not to what is being exchanged.
if you want to show that a letter is being sent in one direction (A to B) then you can use the preposition to
e.g. A wrote **to B.**
if you want to show that A and B both exchange letters then you can say:
A and B wrote to each other.
In your original sentence the use of between probably gives a stronger idea of reciprocity , but that's just my opinion.
