In this exercise, we will look at sorting in Prolog.

a. Write Prolog clauses that define the predicate sorted (L), which is true if and only if list L is sorted in ascending order.

b. Write a Prolog definition for the predicate perm (L, M), which is true if and only if L is a permutation of M.

c. Define sort (L, M) (M is a sorted version of L) using perm and sorted.

d. Rim sort- on longer and longer lists until you lose patience. What is the time complexity of your program?

e. Write a faster sorting algorithm, such as insertion sort or quick sort in Prolog.