1.32/0.72 YES 1.32/0.72 1.32/0.72 Problem: 1.32/0.72 a(x1) -> b(b(x1)) 1.32/0.72 b(b(b(x1))) -> a(x1) 1.32/0.72 1.32/0.72 Proof: 1.32/0.72 Matrix Interpretation Processor: dim=1 1.32/0.72 1.32/0.72 interpretation: 1.32/0.72 [b](x0) = 3x0 + 1, 1.32/0.72 1.32/0.72 [a](x0) = 9x0 + 4 1.32/0.72 orientation: 1.32/0.72 a(x1) = 9x1 + 4 >= 9x1 + 4 = b(b(x1)) 1.32/0.72 1.32/0.72 b(b(b(x1))) = 27x1 + 13 >= 9x1 + 4 = a(x1) 1.32/0.72 problem: 1.32/0.72 a(x1) -> b(b(x1)) 1.32/0.72 KBO Processor: 1.32/0.72 weight function: 1.32/0.72 w0 = 1 1.32/0.72 w(a) = 1 1.32/0.72 w(b) = 0 1.32/0.72 precedence: 1.32/0.72 b > a 1.32/0.72 problem: 1.32/0.72 1.32/0.72 Qed 1.32/0.72 EOF