WORST_CASE(?,O(n^2)) Solution: --------- #0 :: [] -(0)-> A(0, 0) #EQ :: [] -(0)-> A(3, 3) #EQ :: [] -(0)-> A(10, 10) #GT :: [] -(0)-> A(3, 3) #GT :: [] -(0)-> A(10, 10) #LT :: [] -(0)-> A(3, 3) #LT :: [] -(0)-> A(10, 10) #cklt :: [A(3, 3)] -(0)-> A(15, 15) #compare :: [A(0, 0) x A(0, 0)] -(0)-> A(4, 4) #false :: [] -(0)-> A(0, 0) #false :: [] -(0)-> A(15, 15) #less :: [A(0, 0) x A(0, 0)] -(1)-> A(13, 13) #neg :: [A(0, 0)] -(0)-> A(0, 0) #pos :: [A(0, 0)] -(0)-> A(0, 0) #s :: [A(0, 0)] -(0)-> A(0, 0) #true :: [] -(0)-> A(0, 0) #true :: [] -(0)-> A(15, 15) :: :: [A(0, 0) x A(11, 6)] -(5)-> A(5, 6) :: :: [A(0, 0) x A(12, 6)] -(6)-> A(6, 6) :: :: [A(0, 0) x A(10, 6)] -(4)-> A(4, 6) :: :: [A(0, 0) x A(10, 10)] -(0)-> A(0, 10) :: :: [A(0, 0) x A(6, 6)] -(0)-> A(0, 6) :: :: [A(0, 0) x A(0, 0)] -(0)-> A(0, 0) findMin :: [A(9, 6)] -(2)-> A(4, 6) findMin#1 :: [A(5, 6)] -(1)-> A(0, 6) findMin#2 :: [A(6, 6) x A(0, 0)] -(3)-> A(0, 6) findMin#3 :: [A(0, 0) x A(0, 0) x A(0, 0) x A(12, 6)] -(7)-> A(0, 6) minSort :: [A(10, 6)] -(6)-> A(0, 0) minSort#1 :: [A(4, 6)] -(3)-> A(0, 0) nil :: [] -(0)-> A(5, 6) nil :: [] -(0)-> A(6, 6) nil :: [] -(0)-> A(4, 6) nil :: [] -(0)-> A(7, 13) nil :: [] -(0)-> A(15, 13) nil :: [] -(0)-> A(7, 7) Cost Free Signatures: --------------------- #0 :: [] -(0)-> A_cf(0, 0) #EQ :: [] -(0)-> A_cf(0, 0) #EQ :: [] -(0)-> A_cf(14, 14) #GT :: [] -(0)-> A_cf(0, 0) #GT :: [] -(0)-> A_cf(14, 14) #GT :: [] -(0)-> A_cf(14, 12) #LT :: [] -(0)-> A_cf(0, 0) #LT :: [] -(0)-> A_cf(14, 14) #cklt :: [A_cf(0, 0)] -(0)-> A_cf(11, 11) #cklt :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) #compare :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(12, 12) #compare :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) #false :: [] -(0)-> A_cf(3, 3) #false :: [] -(0)-> A_cf(11, 11) #false :: [] -(0)-> A_cf(0, 0) #less :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(8, 8) #less :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) #neg :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) #pos :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) #s :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) #true :: [] -(0)-> A_cf(3, 3) #true :: [] -(0)-> A_cf(11, 11) #true :: [] -(0)-> A_cf(0, 0) :: :: [A_cf(0, 0) x A_cf(4, 0)] -(4)-> A_cf(4, 0) :: :: [A_cf(0, 0) x A_cf(13, 9)] -(4)-> A_cf(4, 9) :: :: [A_cf(0, 0) x A_cf(2, 0)] -(2)-> A_cf(2, 0) :: :: [A_cf(0, 0) x A_cf(6, 4)] -(2)-> A_cf(2, 4) :: :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) findMin :: [A_cf(4, 0)] -(0)-> A_cf(4, 0) findMin :: [A_cf(2, 0)] -(0)-> A_cf(2, 0) findMin :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) findMin#1 :: [A_cf(4, 0)] -(0)-> A_cf(4, 0) findMin#1 :: [A_cf(2, 0)] -(0)-> A_cf(2, 0) findMin#1 :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) findMin#2 :: [A_cf(4, 0) x A_cf(0, 0)] -(4)-> A_cf(4, 0) findMin#2 :: [A_cf(2, 0) x A_cf(0, 0)] -(2)-> A_cf(2, 0) findMin#2 :: [A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) findMin#3 :: [A_cf(3, 3) x A_cf(0, 0) x A_cf(0, 0) x A_cf(4, 0)] -(8)-> A_cf(4, 0) findMin#3 :: [A_cf(3, 3) x A_cf(0, 0) x A_cf(0, 0) x A_cf(2, 0)] -(4)-> A_cf(2, 0) findMin#3 :: [A_cf(0, 0) x A_cf(0, 0) x A_cf(0, 0) x A_cf(0, 0)] -(0)-> A_cf(0, 0) minSort :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) minSort#1 :: [A_cf(0, 0)] -(0)-> A_cf(0, 0) nil :: [] -(0)-> A_cf(4, 0) nil :: [] -(0)-> A_cf(15, 11) nil :: [] -(0)-> A_cf(7, 3) nil :: [] -(0)-> A_cf(2, 0) nil :: [] -(0)-> A_cf(2, 2) nil :: [] -(0)-> A_cf(0, 0) Base Constructors: ------------------ #0_A :: [] -(0)-> A(0) #EQ_A :: [] -(0)-> A(0) #GT_A :: [] -(0)-> A(0) #LT_A :: [] -(0)-> A(0) #false_A :: [] -(0)-> A(0) #neg_A :: [A(0)] -(0)-> A(0) #pos_A :: [A(0)] -(0)-> A(0) #s_A :: [A(0)] -(0)-> A(0) #true_A :: [] -(0)-> A(0) ::_A :: [A(0) x A(0)] -(0)-> A(0) nil_A :: [] -(0)-> A(1, 0) nil_A :: [] -(0)-> A(0, 1)