WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: app_xs#1(Cons(x7,x8),x10) -> Cons(x7,app_xs#1(x8,x10)) app_xs#1(Nil(),x6) -> x6 main(x4,x2) -> app_xs#1(x4,app_xs#1(x4,x2)) - Signature: {app_xs#1/2,main/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {app_xs#1,main} and constructors {Cons,Nil} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(1) x "A"(1)] -(1)-> "A"(1) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Nil :: [] -(0)-> "A"(1) app_xs#1 :: ["A"(1) x "A"(0)] -(1)-> "A"(0) main :: ["A"(8) x "A"(14)] -(15)-> "A"(0) 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))