6.44/2.11 YES 6.44/2.11 6.44/2.11 Problem: 6.44/2.11 b(a(a(b(x1)))) -> b(b(a(a(x1)))) 6.44/2.11 b(b(b(a(x1)))) -> b(b(a(a(x1)))) 6.44/2.11 a(b(a(a(x1)))) -> a(a(b(a(x1)))) 6.44/2.11 6.44/2.11 Proof: 6.44/2.11 String Reversal Processor: 6.44/2.11 b(a(a(b(x1)))) -> a(a(b(b(x1)))) 6.44/2.11 a(b(b(b(x1)))) -> a(a(b(b(x1)))) 6.44/2.11 a(a(b(a(x1)))) -> a(b(a(a(x1)))) 6.44/2.11 Matrix Interpretation Processor: dim=1 6.44/2.11 6.44/2.11 interpretation: 6.44/2.11 [a](x0) = x0, 6.44/2.11 6.44/2.11 [b](x0) = x0 + 4 6.44/2.11 orientation: 6.44/2.11 b(a(a(b(x1)))) = x1 + 8 >= x1 + 8 = a(a(b(b(x1)))) 6.44/2.11 6.44/2.11 a(b(b(b(x1)))) = x1 + 12 >= x1 + 8 = a(a(b(b(x1)))) 6.44/2.11 6.44/2.11 a(a(b(a(x1)))) = x1 + 4 >= x1 + 4 = a(b(a(a(x1)))) 6.44/2.11 problem: 6.44/2.11 b(a(a(b(x1)))) -> a(a(b(b(x1)))) 6.44/2.11 a(a(b(a(x1)))) -> a(b(a(a(x1)))) 6.44/2.11 String Reversal Processor: 6.44/2.11 b(a(a(b(x1)))) -> b(b(a(a(x1)))) 6.44/2.11 a(b(a(a(x1)))) -> a(a(b(a(x1)))) 6.44/2.11 Matrix Interpretation Processor: dim=3 6.44/2.11 6.44/2.11 interpretation: 6.44/2.11 [1 0 1] 6.44/2.11 [a](x0) = [0 1 1]x0 6.44/2.11 [0 0 0] , 6.44/2.11 6.44/2.11 [1 0 0] [0] 6.44/2.11 [b](x0) = [0 0 0]x0 + [0] 6.44/2.11 [0 1 1] [1] 6.44/2.11 orientation: 6.44/2.11 [1 1 1] [1] [1 0 1] [0] 6.44/2.11 b(a(a(b(x1)))) = [0 0 0]x1 + [0] >= [0 0 0]x1 + [0] = b(b(a(a(x1)))) 6.44/2.11 [0 1 1] [2] [0 1 1] [2] 6.44/2.11 6.44/2.11 [1 1 2] [1] [1 1 2] [1] 6.44/2.11 a(b(a(a(x1)))) = [0 1 1]x1 + [1] >= [0 1 1]x1 + [1] = a(a(b(a(x1)))) 6.44/2.11 [0 0 0] [0] [0 0 0] [0] 6.44/2.11 problem: 6.44/2.11 a(b(a(a(x1)))) -> a(a(b(a(x1)))) 6.44/2.11 KBO Processor: 6.44/2.11 weight function: 6.44/2.11 w0 = 1 6.44/2.11 w(a) = w(b) = 1 6.44/2.11 precedence: 6.44/2.11 b > a 6.44/2.11 problem: 6.44/2.11 6.44/2.11 Qed 6.44/2.12 EOF