* Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(x,s(s(y))) -> f(y,x) f(s(x),y) -> f(x,s(s(x))) - Signature: {f/2} / {s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(x,s(s(y))) -> f(y,x) f(s(x),y) -> f(x,s(s(x))) - Signature: {f/2} / {s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(x,y){x -> s(x)} = f(s(x),y) ->^+ f(x,s(s(x))) = C[f(x,s(s(x))) = f(x,y){y -> s(s(x))}] WORST_CASE(Omega(n^1),?)