3.67/1.30 YES 3.67/1.30 3.67/1.30 Problem: 3.67/1.30 strict: 3.67/1.30 f(el(x),y) -> f(x,el(y)) 3.67/1.30 weak: 3.67/1.30 f(x,y) -> f(l(x),y) 3.67/1.30 f(x,y) -> f(x,r(y)) 3.67/1.30 l(el(x)) -> el(l(x)) 3.67/1.30 el(r(x)) -> r(el(x)) 3.67/1.30 3.67/1.30 Proof: 3.67/1.30 Matrix Interpretation Processor: dim=2 3.67/1.30 3.67/1.30 interpretation: 3.67/1.30 3.67/1.30 [r](x0) = x0, 3.67/1.30 3.67/1.30 3.67/1.30 [l](x0) = x0, 3.67/1.30 3.67/1.30 [2 2] [1 0] 3.67/1.30 [f](x0, x1) = [2 0]x0 + [2 0]x1, 3.67/1.30 3.67/1.30 [0] 3.67/1.30 [el](x0) = x0 + [1] 3.67/1.30 orientation: 3.67/1.30 [2 2] [1 0] [2] [2 2] [1 0] 3.67/1.30 f(el(x),y) = [2 0]x + [2 0]y + [0] >= [2 0]x + [2 0]y = f(x,el(y)) 3.67/1.30 3.67/1.30 [2 2] [1 0] [2 2] [1 0] 3.67/1.30 f(x,y) = [2 0]x + [2 0]y >= [2 0]x + [2 0]y = f(l(x),y) 3.67/1.30 3.67/1.30 [2 2] [1 0] [2 2] [1 0] 3.67/1.30 f(x,y) = [2 0]x + [2 0]y >= [2 0]x + [2 0]y = f(x,r(y)) 3.67/1.30 3.67/1.30 [0] [0] 3.67/1.30 l(el(x)) = x + [1] >= x + [1] = el(l(x)) 3.67/1.30 3.67/1.30 [0] [0] 3.67/1.30 el(r(x)) = x + [1] >= x + [1] = r(el(x)) 3.67/1.30 problem: 3.67/1.30 strict: 3.67/1.30 3.67/1.30 weak: 3.67/1.30 f(x,y) -> f(l(x),y) 3.67/1.30 f(x,y) -> f(x,r(y)) 3.67/1.30 l(el(x)) -> el(l(x)) 3.67/1.30 el(r(x)) -> r(el(x)) 3.67/1.30 Qed 3.67/1.31 EOF