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