WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: duplicate(Cons(x,xs)) -> Cons(x,Cons(x,duplicate(xs))) duplicate(Nil()) -> Nil() goal(x) -> duplicate(x) - Signature: {duplicate/1,goal/1} / {Cons/2,Nil/0} - Obligation: innermost runtime complexity wrt. defined symbols {duplicate,goal} and constructors {Cons,Nil} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Cons :: ["A"(11) x "A"(11)] -(11)-> "A"(11) Cons :: ["A"(0) x "A"(0)] -(0)-> "A"(0) Nil :: [] -(0)-> "A"(11) Nil :: [] -(0)-> "A"(6) duplicate :: ["A"(11)] -(1)-> "A"(0) goal :: ["A"(11)] -(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))