* Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(f(0(),x),1()) -> f(g(f(x,x)),x) f(g(x),y) -> g(f(x,y)) - Signature: {f/2} / {0/0,1/0,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {0,1,g} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(f(0(),x),1()) -> f(g(f(x,x)),x) f(g(x),y) -> g(f(x,y)) - Signature: {f/2} / {0/0,1/0,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {0,1,g} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(x,y){x -> g(x)} = f(g(x),y) ->^+ g(f(x,y)) = C[f(x,y) = f(x,y){}] WORST_CASE(Omega(n^1),?)