2.58/0.95 YES 2.58/0.95 2.58/0.95 Problem: 2.58/0.95 strict: 2.58/0.95 T(I(x),y) -> T(x,y) 2.58/0.95 weak: 2.58/0.95 T(x,y) -> T(x,I(y)) 2.58/0.95 2.58/0.95 Proof: 2.58/0.95 Matrix Interpretation Processor: dim=5 2.58/0.95 2.58/0.95 interpretation: 2.58/0.95 [1 1 0 0 1] [1 0 0 1 0] [0] 2.58/0.95 [0 1 1 0 0] [0 0 0 0 1] [1] 2.58/0.95 [T](x0, x1) = [0 0 0 0 0]x0 + [0 0 1 1 0]x1 + [0] 2.58/0.95 [0 1 0 0 0] [0 0 1 1 0] [1] 2.58/0.95 [0 0 0 0 0] [0 0 0 0 0] [1], 2.58/0.95 2.58/0.95 [1 0 0 0 0] [0] 2.58/0.95 [0 1 0 1 0] [1] 2.58/0.95 [I](x0) = [0 0 1 1 0]x0 + [0] 2.58/0.95 [0 0 0 0 0] [0] 2.58/0.95 [0 0 0 0 1] [0] 2.58/0.95 orientation: 2.58/0.95 [1 1 0 1 1] [1 0 0 1 0] [1] [1 1 0 0 1] [1 0 0 1 0] [0] 2.58/0.95 [0 1 1 2 0] [0 0 0 0 1] [2] [0 1 1 0 0] [0 0 0 0 1] [1] 2.58/0.95 T(I(x),y) = [0 0 0 0 0]x + [0 0 1 1 0]y + [0] >= [0 0 0 0 0]x + [0 0 1 1 0]y + [0] = T(x,y) 2.58/0.95 [0 1 0 1 0] [0 0 1 1 0] [2] [0 1 0 0 0] [0 0 1 1 0] [1] 2.58/0.95 [0 0 0 0 0] [0 0 0 0 0] [1] [0 0 0 0 0] [0 0 0 0 0] [1] 2.58/0.95 2.58/0.95 [1 1 0 0 1] [1 0 0 1 0] [0] [1 1 0 0 1] [1 0 0 0 0] [0] 2.58/0.95 [0 1 1 0 0] [0 0 0 0 1] [1] [0 1 1 0 0] [0 0 0 0 1] [1] 2.58/0.95 T(x,y) = [0 0 0 0 0]x + [0 0 1 1 0]y + [0] >= [0 0 0 0 0]x + [0 0 1 1 0]y + [0] = T(x,I(y)) 2.58/0.95 [0 1 0 0 0] [0 0 1 1 0] [1] [0 1 0 0 0] [0 0 1 1 0] [1] 2.58/0.95 [0 0 0 0 0] [0 0 0 0 0] [1] [0 0 0 0 0] [0 0 0 0 0] [1] 2.58/0.95 problem: 2.58/0.95 strict: 2.58/0.95 2.58/0.95 weak: 2.58/0.95 T(x,y) -> T(x,I(y)) 2.58/0.95 Qed 2.58/0.96 EOF