WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: append(Cons(x,xs),ys) -> Cons(x,append(xs,ys)) append(Nil(),ys) -> ys goal(x,y) -> append(x,y) - Signature: {append/2,goal/2} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {append,goal} and constructors {Cons,Nil} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(13) x "A"(13)] -(13)-> "A"(13) Cons :: ["A"(2) x "A"(2)] -(2)-> "A"(2) Nil :: [] -(0)-> "A"(13) append :: ["A"(13) x "A"(2)] -(1)-> "A"(2) goal :: ["A"(15) x "A"(14)] -(16)-> "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))