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