VBoyce$-$Codd normal form

We have the attributes: $\{A,B,C,D,E,F,G\}.$

Consider the following functional dependencies

$DE$

$D,FA,B,G$

$B,E,FA,C,D$

$GC,F$

$B,E,GC,F$

$BA,F$

The first step in computing the normal form, is to derive a canonical $($minimal$)$

set of functional dependencies. We have already done this first step for you. The

following is a set of canonical functional dependencies $($for the dependencies

shown above$)$:

Apply the synthesis algorithm to derive a Boyce$-$Codd normal form for the

relation $R(A,B,C,D,E,F,G).$