The following sets are defined:

• S = tall students}

• C = fall courses}

• R = f(s, c) I (s, c) e S x C and student s is taking course c}

Write a recursive definition of a function cns(Si,C,R)that returns a set of all courses in C not taken by any students in S ₁ = {s ₁ ,...,s _n ) ⊆ S. Implement your definition in pseudocode.

Utilize the set builder in your solution