BEST_CASE(Omega(n^3),?) Solution: --------- "Cons" :: ["A"(0, 0, 0) x "A"(6, 0, 4)] -(6)-> "A"(4, 0, 2) "Cons" :: ["A"(0, 0, 0) x "A"(4, 0, 0)] -(4)-> "A"(4, 0, 0) "Cons" :: ["A"(0, 0, 0) x "A"(3, 0, 2)] -(3)-> "A"(2, 0, 1) "Cons" :: ["A"(0, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(0, 0, 0) "Cons" :: ["A"(0, 0, 0) x "A"(2, 0, 2)] -(2)-> "A"(1, 0, 1) "Nil" :: [] -(0)-> "A"(4, 0, 0) "Nil" :: [] -(0)-> "A"(2, 0, 1) "Nil" :: [] -(0)-> "A"(0, 0, 0) "Nil" :: [] -(0)-> "A"(4, 0, 2) "Nil" :: [] -(0)-> "A"(2, 0, 0) "Nil" :: [] -(0)-> "A"(1, 0, 1) "goal" :: ["A"(0, 0, 1)] -(1)-> "A"(0, 0, 0) "mapconsapp" :: ["A"(0, 0, 0) x "A"(0, 0, 0) x "A"(0, 0, 0)] -(1)-> "A"(0, 0, 0) "permute" :: ["A"(2, 0, 1)] -(1)-> "A"(0, 0, 0) "revapp" :: ["A"(4, 0, 0) x "A"(2, 0, 1)] -(1)-> "A"(2, 0, 1) "select" :: ["A"(0, 0, 0) x "A"(4, 0, 0) x "A"(4, 0, 2)] -(4)-> "A"(0, 0, 0) Cost Free Signatures: --------------------- "Cons" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0) "Nil" :: [] -(0)-> "A"_cf(0, 0, 0) "mapconsapp" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0) "permute" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0) "revapp" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0) "select" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0) Base Constructors: ------------------ "\"Cons\"_A" :: ["A"(0, 0, 0) x "A"(1, 0, 0)] -(1)-> "A"(1, 0, 0) "\"Cons\"_A" :: ["A"(0, 0, 0) x "A"(0, 9, 0)] -(1)-> "A"(0, 1, 0) "\"Cons\"_A" :: ["A"(0, 0, 0) x "A"(1, 0, 2)] -(1)-> "A"(0, 0, 1) "\"Nil\"_A" :: [] -(0)-> "A"(1, 0, 0) "\"Nil\"_A" :: [] -(0)-> "A"(0, 1, 0) "\"Nil\"_A" :: [] -(0)-> "A"(0, 0, 1)