WORST_CASE(?,O(n^2)) Solution: --------- "0" :: [] -(0)-> "A"(0, 0) "0" :: [] -(0)-> "A"(1, 0) "Cons" :: ["A"(0, 11) x "A"(11, 11)] -(11)-> "A"(0, 11) "Cons" :: ["A"(3, 0) x "A"(3, 0)] -(3)-> "A"(3, 0) "Cons" :: ["A"(0, 0) x "A"(0, 0)] -(0)-> "A"(0, 0) "Cons" :: ["A"(2, 0) x "A"(2, 0)] -(2)-> "A"(2, 0) "False" :: [] -(0)-> "A"(0, 0) "False" :: [] -(0)-> "A"(10, 0) "Nil" :: [] -(0)-> "A"(0, 11) "Nil" :: [] -(0)-> "A"(3, 0) "Nil" :: [] -(0)-> "A"(13, 15) "Nil" :: [] -(0)-> "A"(11, 11) "S" :: ["A"(0, 0)] -(0)-> "A"(0, 0) "S" :: ["A"(1, 0)] -(1)-> "A"(1, 0) "True" :: [] -(0)-> "A"(0, 0) "True" :: [] -(0)-> "A"(10, 0) "cond_insert_ord_x_ys_1" :: ["A"(0, 0) x "A"(0, 8) x "A"(2, 0) x "A"(3, 0)] -(10)-> "A"(0, 0) "fold#3" :: ["A"(1, 8) x "A"(0, 11)] -(3)-> "A"(0, 0) "insert_ord" :: ["A"(8, 0)] -(8)-> "A"(1, 8) "insert_ord" :: ["A"(8, 0)] -(8)-> "A"(8, 8) "insert_ord" :: ["A"(8, 0)] -(8)-> "A"(10, 8) "insert_ord#2" :: ["A"(0, 0) x "A"(0, 8) x "A"(3, 0)] -(9)-> "A"(0, 0) "leq" :: [] -(0)-> "A"(0, 0) "leq" :: [] -(0)-> "A"(12, 0) "leq#2" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(10, 0) "main" :: ["A"(14, 15)] -(16)-> "A"(0, 0) Cost Free Signatures: --------------------- "0" :: [] -(0)-> "A"_cf(0, 0) "Cons" :: ["A"_cf(10, 0) x "A"_cf(10, 0)] -(10)-> "A"_cf(10, 0) "Cons" :: ["A"_cf(3, 0) x "A"_cf(3, 0)] -(3)-> "A"_cf(3, 0) "Cons" :: ["A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "False" :: [] -(0)-> "A"_cf(0, 0) "False" :: [] -(0)-> "A"_cf(2, 0) "False" :: [] -(0)-> "A"_cf(4, 0) "Nil" :: [] -(0)-> "A"_cf(10, 0) "Nil" :: [] -(0)-> "A"_cf(3, 13) "Nil" :: [] -(0)-> "A"_cf(3, 0) "Nil" :: [] -(0)-> "A"_cf(4, 0) "Nil" :: [] -(0)-> "A"_cf(0, 0) "Nil" :: [] -(0)-> "A"_cf(0, 8) "S" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "True" :: [] -(0)-> "A"_cf(0, 0) "True" :: [] -(0)-> "A"_cf(2, 0) "True" :: [] -(0)-> "A"_cf(4, 0) "cond_insert_ord_x_ys_1" :: ["A"_cf(0, 0) x "A"_cf(8, 0) x "A"_cf(3, 0) x "A"_cf(3, 0)] -(11)-> "A"_cf(3, 0) "cond_insert_ord_x_ys_1" :: ["A"_cf(0, 0) x "A"_cf(0, 0) x "A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "cond_insert_ord_x_ys_1" :: ["A"_cf(2, 0) x "A"_cf(0, 0) x "A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "fold#3" :: ["A"_cf(0, 0) x "A"_cf(10, 0)] -(0)-> "A"_cf(3, 0) "insert_ord" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "insert_ord" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(14, 0) "insert_ord#2" :: ["A"_cf(0, 0) x "A"_cf(8, 0) x "A"_cf(3, 0)] -(8)-> "A"_cf(3, 0) "insert_ord#2" :: ["A"_cf(0, 0) x "A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "leq" :: [] -(0)-> "A"_cf(0, 0) "leq#2" :: ["A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "leq#2" :: ["A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(4, 0) Base Constructors: ------------------ "\"0\"_A" :: [] -(0)-> "A"(1, 0) "\"0\"_A" :: [] -(0)-> "A"(0, 1) "\"Cons\"_A" :: ["A"(1, 0) x "A"(1, 0)] -(1)-> "A"(1, 0) "\"Cons\"_A" :: ["A"(0, 1) x "A"(1, 1)] -(1)-> "A"(0, 1) "\"False\"_A" :: [] -(0)-> "A"(1, 0) "\"False\"_A" :: [] -(1)-> "A"(0, 1) "\"Nil\"_A" :: [] -(0)-> "A"(1, 0) "\"Nil\"_A" :: [] -(0)-> "A"(0, 1) "\"S\"_A" :: ["A"(1, 0)] -(1)-> "A"(1, 0) "\"S\"_A" :: ["A"(0, 0)] -(0)-> "A"(0, 1) "\"True\"_A" :: [] -(0)-> "A"(1, 0) "\"True\"_A" :: [] -(1)-> "A"(0, 1) "\"insert_ord\"_A" :: ["A"(0)] -(0)-> "A"(1, 0) "\"insert_ord\"_A" :: ["A"(0)] -(1)-> "A"(0, 1) "\"leq\"_A" :: [] -(0)-> "A"(1, 0) "\"leq\"_A" :: [] -(0)-> "A"(0, 1)