WORST_CASE(?,O(n^1)) * Step 1: Ara WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: fmap#2(Leaf(x8)) -> Leaf(S(x8)) fmap#2(Node(x4,x2)) -> Node(fmap#2(x4),fmap#2(x2)) main(x1) -> fmap#2(x1) - Signature: {fmap#2/1,main/1} / {Leaf/1,Node/2,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {fmap#2,main} and constructors {Leaf,Node,S} + Applied Processor: Ara {araHeuristics = NoHeuristics, minDegree = 1, maxDegree = 2, araTimeout = 5, araRuleShifting = Nothing} + Details: Signatures used: ---------------- Leaf :: ["A"(15)] -(15)-> "A"(15) Leaf :: ["A"(0)] -(0)-> "A"(0) Node :: ["A"(15) x "A"(15)] -(15)-> "A"(15) Node :: ["A"(0) x "A"(0)] -(0)-> "A"(0) S :: ["A"(1)] -(1)-> "A"(1) fmap#2 :: ["A"(15)] -(3)-> "A"(0) main :: ["A"(15)] -(5)-> "A"(0) Cost-free Signatures used: -------------------------- Base Constructor Signatures used: --------------------------------- "Leaf_A" :: ["A"(1)] -(1)-> "A"(1) "Node_A" :: ["A"(1) x "A"(1)] -(1)-> "A"(1) "S_A" :: ["A"(1)] -(1)-> "A"(1) WORST_CASE(?,O(n^1))