BEST_CASE(Omega(n^2),?) Solution: --------- "append" :: ["c"(2, 0) x "c"(0, 0)] -(2)-> "c"(0, 0) "append#1" :: ["c"(2, 0) x "c"(0, 0)] -(1)-> "c"(0, 0) "cons" :: ["a"(0, 0) x "c"(2, 0)] -(2)-> "c"(2, 0) "cons" :: ["a"(0, 0) x "c"(0, 0)] -(0)-> "c"(0, 0) "leaf" :: [] -(0)-> "a"(0, 1) "nil" :: [] -(0)-> "c"(2, 0) "nil" :: [] -(0)-> "c"(0, 0) "node" :: ["b"(0, 0) x "a"(1, 1) x "a"(0, 0)] -(1)-> "a"(0, 1) "node" :: ["b"(0, 0) x "a"(0, 0) x "a"(0, 0)] -(0)-> "a"(0, 0) "subtrees" :: ["a"(0, 1)] -(2)-> "c"(0, 0) "subtrees#1" :: ["a"(0, 1)] -(1)-> "c"(0, 0) "subtrees#2" :: ["c"(2, 0) x "a"(0, 0) x "a"(0, 1) x "b"(0, 0)] -(3)-> "c"(0, 0) "subtrees#3" :: ["c"(0, 0) x "c"(2, 0) x "a"(0, 0) x "a"(0, 0) x "b"(0, 0)] -(1)-> "c"(0, 0) Cost Free Signatures: --------------------- "append" :: ["c"_cf(0, 0) x "c"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "append" :: ["c"_cf(2, 0) x "c"_cf(2, 0)] -(0)-> "c"_cf(2, 0) "append#1" :: ["c"_cf(0, 0) x "c"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "append#1" :: ["c"_cf(2, 0) x "c"_cf(2, 0)] -(0)-> "c"_cf(2, 0) "cons" :: ["a"_cf(0, 0) x "c"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "cons" :: ["a"_cf(0, 0) x "c"_cf(2, 0)] -(2)-> "c"_cf(2, 0) "leaf" :: [] -(0)-> "a"_cf(0, 0) "leaf" :: [] -(0)-> "a"_cf(1, 0) "nil" :: [] -(0)-> "c"_cf(0, 0) "nil" :: [] -(0)-> "c"_cf(2, 0) "node" :: ["b"_cf(0, 0) x "a"_cf(0, 0) x "a"_cf(0, 0)] -(0)-> "a"_cf(0, 0) "node" :: ["b"_cf(0, 0) x "a"_cf(1, 0) x "a"_cf(0, 0)] -(1)-> "a"_cf(1, 0) "subtrees" :: ["a"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "subtrees" :: ["a"_cf(1, 0)] -(0)-> "c"_cf(2, 0) "subtrees#1" :: ["a"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "subtrees#1" :: ["a"_cf(1, 0)] -(0)-> "c"_cf(2, 0) "subtrees#2" :: ["c"_cf(0, 0) x "a"_cf(0, 0) x "a"_cf(0, 0) x "b"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "subtrees#2" :: ["c"_cf(2, 0) x "a"_cf(0, 0) x "a"_cf(0, 0) x "b"_cf(0, 0)] -(1)-> "c"_cf(2, 0) "subtrees#3" :: ["c"_cf(0, 0) x "c"_cf(0, 0) x "a"_cf(0, 0) x "a"_cf(0, 0) x "b"_cf(0, 0)] -(0)-> "c"_cf(0, 0) "subtrees#3" :: ["c"_cf(2, 0) x "c"_cf(2, 0) x "a"_cf(0, 0) x "a"_cf(0, 0) x "b"_cf(0, 0)] -(2)-> "c"_cf(2, 0) Base Constructors: ------------------ "\"cons\"_c" :: ["a"(0, 0) x "c"(1, 0)] -(1)-> "c"(1, 0) "\"cons\"_c" :: ["a"(0, 0) x "c"(0, 8)] -(1)-> "c"(0, 1) "\"leaf\"_a" :: [] -(0)-> "a"(1, 0) "\"leaf\"_a" :: [] -(0)-> "a"(0, 1) "\"nil\"_c" :: [] -(0)-> "c"(1, 0) "\"nil\"_c" :: [] -(0)-> "c"(0, 1) "\"node\"_a" :: ["b"(0, 0) x "a"(1, 0) x "a"(0, 0)] -(1)-> "a"(1, 0) "\"node\"_a" :: ["b"(0, 0) x "a"(1, 1) x "a"(0, 0)] -(1)-> "a"(0, 1)