WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: main(x20) -> walk#1(x20) walk#1(Cons(x4,x7)) -> comp_f_g(walk#1(x7),cons1_x(x4)) walk#1(Nil()) -> id() - Signature: {main/1,walk#1/1} / {Cons/2,Nil/0,comp_f_g/2,cons1_x/1,id/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,walk#1} and constructors {Cons,Nil,comp_f_g,cons1_x ,id} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(0) x "A"(11)] -(11)-> "A"(11) Nil :: [] -(0)-> "A"(11) comp_f_g :: ["A"(0) x "A"(0)] -(0)-> "A"(14) cons1_x :: ["A"(0)] -(0)-> "A"(14) id :: [] -(0)-> "A"(8) main :: ["A"(15)] -(9)-> "A"(0) walk#1 :: ["A"(11)] -(4)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) "comp_f_g_A" :: ["A"(0) x "A"(0)] -(0)-> "A"(1) "cons1_x_A" :: ["A"(0)] -(0)-> "A"(1) "id_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))