WORST_CASE(?,O(n^1)) * Step 1: Bounds 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: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. Leaf_0(2) -> 2 Leaf_1(3) -> 1 Leaf_1(3) -> 4 Leaf_1(3) -> 5 Node_0(2,2) -> 2 Node_1(4,5) -> 1 Node_1(5,5) -> 4 Node_1(5,5) -> 5 S_0(2) -> 2 S_1(2) -> 3 fmap#2_0(2) -> 1 fmap#2_1(2) -> 1 fmap#2_1(2) -> 4 fmap#2_1(2) -> 5 main_0(2) -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak 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: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))