WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,y) -> g(x,y) g(h(x),y) -> h(f(x,y)) g(h(x),y) -> h(g(x,y)) - Signature: {f/2,g/2} / {h/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {h} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. f_0(3,3) -> 1 f_1(3,3) -> 4 g_0(3,3) -> 2 g_1(3,3) -> 1 g_2(3,3) -> 4 h_0(3) -> 3 h_1(1) -> 1 h_1(1) -> 2 h_1(1) -> 4 h_1(4) -> 1 h_1(4) -> 2 h_1(4) -> 4 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(x,y) -> g(x,y) g(h(x),y) -> h(f(x,y)) g(h(x),y) -> h(g(x,y)) - Signature: {f/2,g/2} / {h/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {h} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))