WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: even(Cons(x,xs)) -> odd(xs) even(Nil()) -> True() evenodd(x) -> even(x) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() odd(Cons(x,xs)) -> even(xs) odd(Nil()) -> False() - Signature: {even/1,evenodd/1,notEmpty/1,odd/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {even,evenodd,notEmpty,odd} and constructors {Cons,False ,Nil,True} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(0) x "A"(15)] -(15)-> "A"(15) Cons :: ["A"(0) x "A"(3)] -(3)-> "A"(3) False :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(15) Nil :: [] -(0)-> "A"(3) True :: [] -(0)-> "A"(14) True :: [] -(0)-> "A"(6) even :: ["A"(15)] -(15)-> "A"(14) evenodd :: ["A"(15)] -(16)-> "A"(0) notEmpty :: ["A"(3)] -(5)-> "A"(0) odd :: ["A"(15)] -(15)-> "A"(14) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Cons_A" :: ["A"(0) x "A"(1)] -(1)-> "A"(1) "False_A" :: [] -(0)-> "A"(1) "Nil_A" :: [] -(0)-> "A"(1) "True_A" :: [] -(0)-> "A"(1) WORST_CASE(?,O(n^1))