YES(?,O(n^2)) Problem: f(s(X),Y) -> h(s(f(h(Y),X))) Proof: Complexity Transformation Processor: strict: f(s(X),Y) -> h(s(f(h(Y),X))) weak: Matrix Interpretation Processor: dimension: 2 max_matrix: [1 1] [0 0] interpretation: [1 0] [h](x0) = [0 0]x0, [1 1] [1 0] [f](x0, x1) = [0 0]x0 + [0 0]x1, [1 0] [0] [s](x0) = [0 0]x0 + [1] orientation: [1 0] [1 0] [1] [1 0] [1 0] f(s(X),Y) = [0 0]X + [0 0]Y + [0] >= [0 0]X + [0 0]Y = h(s(f(h(Y),X))) problem: strict: weak: f(s(X),Y) -> h(s(f(h(Y),X))) Qed