WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: add0(x,Nil()) -> x add0(x',Cons(x,xs)) -> add0(Cons(Cons(Nil(),Nil()),x'),xs) goal(x,y) -> add0(x,y) notEmpty(Cons(x,xs)) -> True() notEmpty(Nil()) -> False() - Signature: {add0/2,goal/2,notEmpty/1} / {Cons/2,False/0,Nil/0,True/0} - Obligation: innermost runtime complexity wrt. defined symbols {add0,goal,notEmpty} 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"(14)] -(14)-> "A"(14) Cons :: ["A"(0) x "A"(11)] -(11)-> "A"(11) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) False :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(14) Nil :: [] -(0)-> "A"(11) Nil :: [] -(0)-> "A"(0) True :: [] -(0)-> "A"(10) add0 :: ["A"(0) x "A"(14)] -(8)-> "A"(0) goal :: ["A"(4) x "A"(14)] -(13)-> "A"(0) notEmpty :: ["A"(11)] -(15)-> "A"(0) 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))