WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: main(x1) -> map#2(rmap#2(x1,Nil())) map#2(Cons(x32,x6)) -> Cons(x32,map#2(x6)) map#2(Nil()) -> Nil() rmap#2(Cons(x32,x10),x6) -> rmap#2(x10,Cons(x32,x6)) rmap#2(Nil(),x2) -> x2 - Signature: {main/1,map#2/1,rmap#2/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {main,map#2,rmap#2} and constructors {Cons,Nil} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(5) x "A"(5)] -(5)-> "A"(5) Cons :: ["A"(7) x "A"(7)] -(7)-> "A"(7) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Nil :: [] -(0)-> "A"(5) Nil :: [] -(0)-> "A"(7) Nil :: [] -(0)-> "A"(8) Nil :: [] -(0)-> "A"(14) main :: ["A"(8)] -(12)-> "A"(0) map#2 :: ["A"(5)] -(7)-> "A"(0) rmap#2 :: ["A"(7) x "A"(5)] -(2)-> "A"(5) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Cons_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))