Consider the relational schema R = ABC. Assume that F = {C->B, BC->A, A->BC}.
a. Find the cover of F: (i.e., the set of all non-trivial functional dependencies in F+ with a single attribute on the right and the minimal left hand side.)
b. Does there exist a relational instance r over the schema R that satisfies all functional dependencies in F, but does not satisfy the fd B->A? Give a yes/no answer.
c. Does there exist a relational instance r over the schema R that satisfies all functional dependencies
in F, but does not satisfy the functional dependency A->B?