WORST_CASE(?,O(n^2)) Solution: --------- "0" :: [] -(0)-> "A"(0, 0) "0" :: [] -(0)-> "A"(1, 0) "Cons" :: ["A"(5, 0) x "A"(15, 10)] -(5)-> "A"(5, 10) "Cons" :: ["A"(6, 0) x "A"(6, 0)] -(6)-> "A"(6, 0) "Cons" :: ["A"(3, 0) x "A"(3, 0)] -(3)-> "A"(3, 0) "False" :: [] -(0)-> "A"(9, 7) "False" :: [] -(0)-> "A"(12, 10) "Nil" :: [] -(0)-> "A"(5, 10) "Nil" :: [] -(0)-> "A"(6, 0) "Nil" :: [] -(0)-> "A"(8, 13) "Nil" :: [] -(0)-> "A"(7, 8) "S" :: ["A"(0, 0)] -(0)-> "A"(0, 0) "S" :: ["A"(1, 0)] -(1)-> "A"(1, 0) "True" :: [] -(0)-> "A"(9, 7) "True" :: [] -(0)-> "A"(12, 12) "cond_insert_ord_x_ys_1" :: ["A"(9, 7) x "A"(3, 0) x "A"(4, 0) x "A"(6, 0)] -(8)-> "A"(3, 0) "fold#3" :: ["A"(0, 1) x "A"(5, 10)] -(1)-> "A"(3, 0) "insert_ord" :: ["A"(0, 0)] -(1)-> "A"(0, 1) "insert_ord" :: ["A"(0, 0)] -(7)-> "A"(1, 7) "insert_ord#2" :: ["A"(0, 0) x "A"(3, 0) x "A"(6, 0)] -(4)-> "A"(3, 0) "leq" :: [] -(0)-> "A"(0, 0) "leq" :: [] -(0)-> "A"(12, 12) "leq" :: [] -(0)-> "A"(8, 12) "leq#2" :: ["A"(0, 0) x "A"(1, 0)] -(1)-> "A"(12, 9) "main" :: ["A"(14, 14)] -(12)-> "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(5, 0) x "A"_cf(13, 8)] -(5)-> "A"_cf(5, 8) "Cons" :: ["A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "Cons" :: ["A"_cf(0, 0) x "A"_cf(8, 8)] -(0)-> "A"_cf(0, 8) "False" :: [] -(0)-> "A"_cf(0, 0) "False" :: [] -(0)-> "A"_cf(9, 5) "False" :: [] -(0)-> "A"_cf(12, 14) "False" :: [] -(0)-> "A"_cf(1, 1) "False" :: [] -(0)-> "A"_cf(2, 6) "Nil" :: [] -(0)-> "A"_cf(10, 0) "Nil" :: [] -(0)-> "A"_cf(3, 0) "Nil" :: [] -(0)-> "A"_cf(15, 14) "Nil" :: [] -(0)-> "A"_cf(0, 0) "Nil" :: [] -(0)-> "A"_cf(12, 12) "S" :: ["A"_cf(0, 0)] -(0)-> "A"_cf(0, 0) "True" :: [] -(0)-> "A"_cf(0, 0) "True" :: [] -(0)-> "A"_cf(9, 5) "True" :: [] -(0)-> "A"_cf(10, 14) "True" :: [] -(0)-> "A"_cf(1, 1) "True" :: [] -(0)-> "A"_cf(2, 2) "cond_insert_ord_x_ys_1" :: ["A"_cf(0, 0) x "A"_cf(5, 0) x "A"_cf(3, 0) x "A"_cf(3, 0)] -(12)-> "A"_cf(3, 0) "cond_insert_ord_x_ys_1" :: ["A"_cf(9, 5) 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(1, 1) 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#2" :: ["A"_cf(0, 0) x "A"_cf(5, 0) x "A"_cf(3, 0)] -(9)-> "A"_cf(3, 0) "insert_ord#2" :: ["A"_cf(10, 9) x "A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(0, 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" :: [] -(0)-> "A"_cf(10, 9) "leq" :: [] -(0)-> "A"_cf(12, 12) "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(10, 14) "leq#2" :: ["A"_cf(0, 0) x "A"_cf(0, 0)] -(0)-> "A"_cf(2, 2) 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, 0) x "A"(1, 1)] -(0)-> "A"(0, 1) "\"False\"_A" :: [] -(0)-> "A"(1, 0) "\"False\"_A" :: [] -(0)-> "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" :: [] -(0)-> "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)