* Step 1: Sum WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(t(),x,y) -> f(g(x,y),x,s(y)) g(s(x),0()) -> t() g(s(x),s(y)) -> g(x,y) - Signature: {f/3,g/2} / {0/0,s/1,t/0} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s,t} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(t(),x,y) -> f(g(x,y),x,s(y)) g(s(x),0()) -> t() g(s(x),s(y)) -> g(x,y) - Signature: {f/3,g/2} / {0/0,s/1,t/0} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {0,s,t} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: g(x,y){x -> s(x),y -> s(y)} = g(s(x),s(y)) ->^+ g(x,y) = C[g(x,y) = g(x,y){}] WORST_CASE(Omega(n^1),?)