1.75/0.74 YES 1.75/0.74 1.75/0.74 Problem: 1.75/0.74 strict: 1.75/0.74 R(x,B2()) -> B2() 1.75/0.74 W(x,B2()) -> B2() 1.75/0.74 weak: 1.75/0.74 B1() -> R(T(),B1()) 1.75/0.74 B1() -> W(T(),B1()) 1.75/0.74 1.75/0.74 Proof: 1.75/0.74 Matrix Interpretation Processor: dim=5 1.75/0.74 1.75/0.74 interpretation: 1.75/0.74 [0] 1.75/0.74 [0] 1.75/0.74 [T] = [0] 1.75/0.74 [0] 1.75/0.74 [1], 1.75/0.74 1.75/0.74 [0] 1.75/0.74 [0] 1.75/0.74 [B1] = [0] 1.75/0.74 [1] 1.75/0.74 [0], 1.75/0.74 1.75/0.74 [1 0 0 0 0] [1 0 1 0 1] 1.75/0.74 [0 0 0 0 0] [0 1 0 0 0] 1.75/0.74 [W](x0, x1) = [0 0 0 0 0]x0 + [0 1 1 0 0]x1 1.75/0.74 [0 0 0 0 1] [0 1 1 0 0] 1.75/0.74 [0 0 0 0 0] [0 1 1 0 0] , 1.75/0.74 1.75/0.74 [1 0 0 0 0] [1 0 1 0 0] 1.75/0.74 [0 0 0 0 0] [0 0 0 0 1] 1.75/0.74 [R](x0, x1) = [0 0 0 0 0]x0 + [0 0 0 0 1]x1 1.75/0.74 [0 0 0 0 0] [0 0 1 0 1] 1.75/0.74 [0 0 0 0 0] [0 1 1 0 1] , 1.75/0.74 1.75/0.74 [0] 1.75/0.74 [1] 1.75/0.74 [B2] = [1] 1.75/0.74 [0] 1.75/0.74 [1] 1.75/0.74 orientation: 1.75/0.74 [1 0 0 0 0] [1] [0] 1.75/0.74 [0 0 0 0 0] [1] [1] 1.75/0.74 R(x,B2()) = [0 0 0 0 0]x + [1] >= [1] = B2() 1.75/0.74 [0 0 0 0 0] [2] [0] 1.75/0.74 [0 0 0 0 0] [3] [1] 1.75/0.74 1.75/0.74 [1 0 0 0 0] [2] [0] 1.75/0.74 [0 0 0 0 0] [1] [1] 1.75/0.74 W(x,B2()) = [0 0 0 0 0]x + [2] >= [1] = B2() 1.75/0.74 [0 0 0 0 1] [2] [0] 1.75/0.74 [0 0 0 0 0] [2] [1] 1.75/0.74 1.75/0.74 [0] [0] 1.75/0.74 [0] [0] 1.75/0.74 B1() = [0] >= [0] = R(T(),B1()) 1.75/0.74 [1] [0] 1.75/0.74 [0] [0] 1.75/0.74 1.75/0.74 [0] [0] 1.75/0.74 [0] [0] 1.75/0.74 B1() = [0] >= [0] = W(T(),B1()) 1.75/0.74 [1] [1] 1.75/0.74 [0] [0] 1.75/0.74 problem: 1.75/0.74 strict: 1.75/0.74 1.75/0.74 weak: 1.75/0.74 B1() -> R(T(),B1()) 1.75/0.74 B1() -> W(T(),B1()) 1.75/0.74 Qed 1.75/0.75 EOF