BEST_CASE(Omega(n^3),?) Solution: --------- "0" :: [] -(0)-> "c"(0, 0, 0) "0" :: [] -(0)-> "c"(4, 3, 1) "app" :: ["c"(0, 0, 0) x "b"(0, 0, 0)] -(0)-> "b"(0, 0, 0) "div" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0) "div'" :: ["c"(14, 15, 15) x "c"(0, 0, 0)] -(11)-> "a"(2, 8, 1) "div'" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "a"(0, 0, 0) "div'" :: ["c"(4, 3, 1) x "c"(0, 0, 0)] -(1)-> "a"(0, 0, 1) "div'" :: ["c"(6, 7, 15) x "c"(0, 0, 0)] -(3)-> "a"(2, 0, 1) "egypt" :: ["a"(0, 0, 1)] -(0)-> "b"(0, 0, 0) "h" :: ["c"(0, 0, 0) x "c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0) "i" :: ["a"(2, 8, 1) x "a"(0, 0, 0)] -(0)-> "a"(0, 0, 1) "minus" :: ["c"(12, 4, 0) x "c"(0, 0, 0)] -(4)-> "c"(4, 0, 0) "mult" :: ["c"(15, 15, 15) x "c"(0, 0, 0)] -(12)-> "c"(11, 1, 0) "mult" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "c"(0, 0, 0) "nil" :: [] -(0)-> "b"(0, 0, 0) "s" :: ["c"(0, 0, 0)] -(0)-> "c"(0, 0, 0) "s" :: ["c"(15, 13, 5)] -(8)-> "c"(4, 3, 1) "s" :: ["c"(15, 13, 11)] -(12)-> "c"(2, 1, 9) Cost Free Signatures: --------------------- Base Constructors: ------------------ "\"0\"_c" :: [] -(0)-> "c"(1, 0, 0) "\"0\"_c" :: [] -(0)-> "c"(0, 1, 0) "\"0\"_c" :: [] -(0)-> "c"(0, 0, 1) "\"app\"_b" :: ["c"(0, 0, 0) x "b"(5, 9, 1)] -(1)-> "b"(1, 0, 0) "\"app\"_b" :: ["c"(0, 0, 0) x "b"(0, 15, 0)] -(1)-> "b"(0, 1, 0) "\"app\"_b" :: ["c"(0, 0, 0) x "b"(15, 14, 8)] -(1)-> "b"(0, 0, 1) "\"div'\"_a" :: ["c"(0) x "c"(0)] -(0)-> "a"(0) "\"minus\"_c" :: ["c"(3, 1, 0) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0) "\"minus\"_c" :: ["c"(9, 11, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0) "\"minus\"_c" :: ["c"(1, 0, 6) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1) "\"mult\"_c" :: ["c"(1, 1, 1) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0) "\"mult\"_c" :: ["c"(4, 4, 4) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0) "\"mult\"_c" :: ["c"(0, 0, 13) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1) "\"nil\"_b" :: [] -(0)-> "b"(1, 0, 0) "\"nil\"_b" :: [] -(0)-> "b"(0, 1, 0) "\"nil\"_b" :: [] -(0)-> "b"(0, 0, 1) "\"s\"_c" :: ["c"(2, 0, 1)] -(1)-> "c"(1, 0, 0) "\"s\"_c" :: ["c"(2, 4, 0)] -(1)-> "c"(0, 1, 0) "\"s\"_c" :: ["c"(1, 1, 1)] -(1)-> "c"(0, 0, 1)