YES(?,O(n^2)) Problem: +(0(),y) -> y +(s(x),y) -> s(+(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) Proof: Matrix Interpretation Processor: dimension: 2 interpretation: [1 2] [1 2] [4] [-](x0, x1) = [0 1]x0 + [0 0]x1 + [0], [0] [s](x0) = x0 + [2], [1 1] [1 6] [0] [+](x0, x1) = [0 1]x0 + [0 1]x1 + [1], [0 ] [0] = [12] orientation: [1 6] [12] +(0(),y) = [0 1]y + [13] >= y = y [1 1] [1 6] [2] [1 1] [1 6] [0] +(s(x),y) = [0 1]x + [0 1]y + [3] >= [0 1]x + [0 1]y + [3] = s(+(x,y)) [1 2] [28] [0 ] -(0(),y) = [0 0]y + [12] >= [12] = 0() [1 2] [28] -(x,0()) = [0 1]x + [0 ] >= x = x [1 2] [1 2] [12] [1 2] [1 2] [4] -(s(x),s(y)) = [0 1]x + [0 0]y + [2 ] >= [0 1]x + [0 0]y + [0] = -(x,y) problem: Qed