Consider the following set of functional dependencies on the relation (ABC), $\{ A \rightarrow B, \: \: AB \rightarrow C, \:\: A \rightarrow BC, \:\: B \rightarrow C\}$.
Find the canonical cover for the above FD set
- $\{A \rightarrow BC, B \rightarrow C \}$
- $\{A \rightarrow BC, AB \rightarrow C \}$
- $\{A \rightarrow BC, A \rightarrow B \}$
- $\{A \rightarrow B, B \rightarrow C \}$