* Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(x,x,y) -> x f(x,y,y) -> y f(x,y,g(y)) -> x f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v)) f(g(x),x,y) -> y - Signature: {f/3} / {g/1} - Obligation: runtime complexity wrt. defined symbols {f} and constructors {g} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 0. The enriched problem is compatible with follwoing automaton. f_0(2,2,2) -> 1 g_0(2) -> 1 g_0(2) -> 2 2 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(x,x,y) -> x f(x,y,y) -> y f(x,y,g(y)) -> x f(f(x,y,z),u,f(x,y,v)) -> f(x,y,f(z,u,v)) f(g(x),x,y) -> y - Signature: {f/3} / {g/1} - Obligation: runtime complexity wrt. defined symbols {f} and constructors {g} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))