* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(s(x)) -> f(x) g(s(0())) -> g(f(s(0()))) - Signature: {f/1,g/1} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 0_1() -> 7 f_0(1) -> 2 f_0(4) -> 2 f_1(1) -> 2 f_1(4) -> 2 f_1(6) -> 5 f_2(7) -> 5 g_0(1) -> 3 g_0(4) -> 3 g_1(5) -> 3 s_0(1) -> 4 s_0(4) -> 4 s_1(7) -> 6 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(s(x)) -> f(x) g(s(0())) -> g(f(s(0()))) - Signature: {f/1,g/1} / {0/0,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))