It corresponds. If you go to MBTI forums and chat with people who score as as you'll find they have static logic (this is already taking into account that roughly 20-25% of them are mis-typed, just like on this board).
After spending 10 months reading MBTI forums and interacting with people there I am thoroughly convinced that Socionics and MBTI describe the same system of 16 types at their core, however, they use different terminology and different groupings.