9.23/2.73 YES 9.23/2.73 9.23/2.73 Problem: 9.23/2.73 strict: 9.23/2.73 a(a(c(x1))) -> a(c(c(x1))) 9.23/2.73 a(a(c(x1))) -> b(a(c(x1))) 9.23/2.73 a(a(c(x1))) -> a(b(c(x1))) 9.23/2.73 c(c(c(x1))) -> b(b(b(x1))) 9.23/2.73 c(a(a(x1))) -> c(b(b(x1))) 9.23/2.73 c(a(c(x1))) -> c(b(c(x1))) 9.23/2.73 weak: 9.23/2.73 b(b(a(x1))) -> c(c(a(x1))) 9.23/2.73 9.23/2.73 Proof: 9.23/2.73 String Reversal Processor: 9.23/2.73 strict: 9.23/2.73 c(a(a(x1))) -> c(c(a(x1))) 9.23/2.73 c(a(a(x1))) -> c(a(b(x1))) 9.23/2.73 c(a(a(x1))) -> c(b(a(x1))) 9.23/2.73 c(c(c(x1))) -> b(b(b(x1))) 9.23/2.73 a(a(c(x1))) -> b(b(c(x1))) 9.23/2.73 c(a(c(x1))) -> c(b(c(x1))) 9.23/2.73 weak: 9.23/2.73 a(b(b(x1))) -> a(c(c(x1))) 9.23/2.73 Arctic Interpretation Processor: 9.23/2.73 dimension: 1 9.23/2.73 interpretation: 9.23/2.73 [b](x0) = x0, 9.23/2.73 9.23/2.73 [a](x0) = 8x0, 9.23/2.73 9.23/2.73 [c](x0) = x0 9.23/2.73 orientation: 9.23/2.73 c(a(a(x1))) = 16x1 >= 8x1 = c(c(a(x1))) 9.23/2.73 9.23/2.73 c(a(a(x1))) = 16x1 >= 8x1 = c(a(b(x1))) 9.23/2.73 9.23/2.73 c(a(a(x1))) = 16x1 >= 8x1 = c(b(a(x1))) 9.23/2.73 9.23/2.73 c(c(c(x1))) = x1 >= x1 = b(b(b(x1))) 9.23/2.73 9.23/2.73 a(a(c(x1))) = 16x1 >= x1 = b(b(c(x1))) 9.23/2.73 9.23/2.73 c(a(c(x1))) = 8x1 >= x1 = c(b(c(x1))) 9.23/2.73 9.23/2.73 a(b(b(x1))) = 8x1 >= 8x1 = a(c(c(x1))) 9.23/2.73 problem: 9.23/2.73 strict: 9.23/2.73 c(c(c(x1))) -> b(b(b(x1))) 9.23/2.73 weak: 9.23/2.73 a(b(b(x1))) -> a(c(c(x1))) 9.23/2.73 String Reversal Processor: 9.23/2.73 strict: 9.23/2.73 c(c(c(x1))) -> b(b(b(x1))) 9.23/2.73 weak: 9.23/2.73 b(b(a(x1))) -> c(c(a(x1))) 9.23/2.73 Matrix Interpretation Processor: dim=2 9.23/2.73 9.23/2.73 interpretation: 9.23/2.73 [1 0] [1] 9.23/2.73 [b](x0) = [0 0]x0 + [2], 9.23/2.73 9.23/2.73 [1 0] 9.23/2.73 [a](x0) = [0 0]x0, 9.23/2.73 9.23/2.73 [1 1] [0] 9.23/2.73 [c](x0) = [0 1]x0 + [1] 9.23/2.73 orientation: 9.23/2.73 [1 3] [3] [1 0] [3] 9.23/2.73 c(c(c(x1))) = [0 1]x1 + [3] >= [0 0]x1 + [2] = b(b(b(x1))) 9.23/2.73 9.23/2.73 [1 0] [2] [1 0] [1] 9.23/2.73 b(b(a(x1))) = [0 0]x1 + [2] >= [0 0]x1 + [2] = c(c(a(x1))) 9.23/2.73 problem: 9.23/2.73 strict: 9.23/2.73 c(c(c(x1))) -> b(b(b(x1))) 9.23/2.73 weak: 9.23/2.73 9.23/2.73 Arctic Interpretation Processor: 9.23/2.73 dimension: 1 9.23/2.73 interpretation: 9.23/2.73 [b](x0) = x0, 9.23/2.73 9.23/2.73 [c](x0) = 9x0 9.23/2.73 orientation: 9.23/2.73 c(c(c(x1))) = 27x1 >= x1 = b(b(b(x1))) 9.23/2.73 problem: 9.23/2.73 strict: 9.23/2.73 9.23/2.73 weak: 9.23/2.73 9.23/2.73 Qed 9.23/2.74 EOF