YES(?,O(n^2)) Problem: +(0(),y) -> y +(s(x),0()) -> s(x) +(s(x),s(y)) -> s(+(s(x),+(y,0()))) Proof: Matrix Interpretation Processor: dimension: 2 interpretation: [0] [s](x0) = x0 + [5], [1 1] [+](x0, x1) = x0 + [0 1]x1, [4] [0] = [0] orientation: [1 1] [4] +(0(),y) = [0 1]y + [0] >= y = y [4] [0] +(s(x),0()) = x + [5] >= x + [5] = s(x) [1 1] [5 ] [1 1] [4 ] +(s(x),s(y)) = x + [0 1]y + [10] >= x + [0 1]y + [10] = s(+(s(x),+(y,0()))) problem: Qed