YES Problem: rev(a()) -> a() rev(b()) -> b() rev(++(x,y)) -> ++(rev(y),rev(x)) rev(++(x,x)) -> rev(x) Proof: Matrix Interpretation Processor: dim=1 interpretation: [rev](x0) = x0, [++](x0, x1) = 4x0 + 4x1 + 3, [a] = 4, [b] = 0 orientation: rev(a()) = 4 >= 4 = a() rev(b()) = 0 >= 0 = b() rev(++(x,y)) = 4x + 4y + 3 >= 4x + 4y + 3 = ++(rev(y),rev(x)) rev(++(x,x)) = 8x + 3 >= x = rev(x) problem: rev(a()) -> a() rev(b()) -> b() rev(++(x,y)) -> ++(rev(y),rev(x)) Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [rev](x0) = [0 1 0]x0 [0 0 0] , [1 0 1] [0] [++](x0, x1) = [0 1 0]x0 + x1 + [1] [0 0 0] [0], [0] [a] = [1] [0], [0] [b] = [1] [0] orientation: [1] [0] rev(a()) = [1] >= [1] = a() [0] [0] [1] [0] rev(b()) = [1] >= [1] = b() [0] [0] [1 1 1] [1 1 1] [1] [1 1 1] [1 1 1] [0] rev(++(x,y)) = [0 1 0]x + [0 1 0]y + [1] >= [0 1 0]x + [0 1 0]y + [1] = ++(rev(y),rev(x)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] problem: Qed