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