List all prime and non-prime attributes In Relation R(A,B,C,D,E) with FD set F = {AB→C, B→E, C→D}.

In the given relation R(A,B,C,D,E) with functional dependency set F = {AB→C, B→E, C→D}, we first need to find the candidate keys.

A candidate key is a set of attributes that can uniquely identify a tuple in a relation. It is the minimal superkey, meaning no subset of the candidate key can be a superkey.

Step 1: Find all the attributes that are on the right side of the functional dependencies. These are C, E, and D.

Step 2: Subtract these attributes from the total set of attributes. The remaining attributes are A and B.

Step 3: Check if the remaining attributes can determine all other attributes. In this case, AB can determine C (from AB→C), C can determine D (from C→D), and B can determine E (from B→E). So, AB is a candidate key.

Now, we can determine the prime and non-prime attributes.

Prime attributes are the attributes that are part of any candidate key. In this case, the prime attributes are A and B.

Non-prime attributes are the attributes that are not part of any candidate key. In this case, the non-prime attributes are C, D, and E.