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