* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__f(X)) -> f(X) f(X) -> n__f(X) f(f(a())) -> f(g(n__f(a()))) - Signature: {activate/1,f/1} / {a/0,g/1,n__f/1} - Obligation: runtime complexity wrt. defined symbols {activate,f} and constructors {a,g,n__f} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. a_0() -> 1 a_0() -> 2 activate_0(1) -> 2 activate_0(4) -> 2 activate_0(5) -> 2 f_0(1) -> 3 f_0(4) -> 3 f_0(5) -> 3 f_1(1) -> 2 f_1(4) -> 2 f_1(5) -> 2 g_0(1) -> 2 g_0(1) -> 4 g_0(4) -> 2 g_0(4) -> 4 g_0(5) -> 2 g_0(5) -> 4 n__f_0(1) -> 2 n__f_0(1) -> 5 n__f_0(4) -> 2 n__f_0(4) -> 5 n__f_0(5) -> 2 n__f_0(5) -> 5 n__f_1(1) -> 3 n__f_1(4) -> 3 n__f_1(5) -> 3 n__f_2(1) -> 2 n__f_2(4) -> 2 n__f_2(5) -> 2 1 -> 2 4 -> 2 5 -> 2 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: activate(X) -> X activate(n__f(X)) -> f(X) f(X) -> n__f(X) f(f(a())) -> f(g(n__f(a()))) - Signature: {activate/1,f/1} / {a/0,g/1,n__f/1} - Obligation: runtime complexity wrt. defined symbols {activate,f} and constructors {a,g,n__f} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))