* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: b(X) -> a(X) f(a(g(X))) -> b(X) f(f(X)) -> f(a(b(f(X)))) - Signature: {b/1,f/1} / {a/1,g/1} - Obligation: runtime complexity wrt. defined symbols {b,f} and constructors {a,g} + 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) -> 1 a_0(4) -> 1 a_1(1) -> 2 a_1(4) -> 2 a_2(1) -> 3 a_2(4) -> 3 b_0(1) -> 2 b_0(4) -> 2 b_1(1) -> 3 b_1(4) -> 3 f_0(1) -> 3 f_0(4) -> 3 g_0(1) -> 4 g_0(4) -> 4 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: b(X) -> a(X) f(a(g(X))) -> b(X) f(f(X)) -> f(a(b(f(X)))) - Signature: {b/1,f/1} / {a/1,g/1} - Obligation: runtime complexity wrt. defined symbols {b,f} and constructors {a,g} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))