Question: 1. Let R be a relation of degree n. What is the maximum number of functional dependencies R can possibly satisfy (trivial as well as nontrivial)?
2 What does it mean to say that Armstrong's rules of inference are sound? Complete?
3 Prove the reflexivity, augmanation, and transitivity rules, assuming only the basic defini-tion of functional dependence.
4 Prove that the three rules of the previous exercise imply the self-determination, decompo-sition, union, and composition rules.