15.30/4.26 YES 15.30/4.26 15.30/4.26 Problem: 15.30/4.26 strict: 15.30/4.26 c(a(a(x1))) -> c(b(a(x1))) 15.30/4.26 c(b(c(x1))) -> a(c(b(x1))) 15.30/4.26 weak: 15.30/4.26 b(b(c(x1))) -> b(b(b(x1))) 15.30/4.26 c(b(c(x1))) -> b(c(b(x1))) 15.30/4.26 b(b(a(x1))) -> c(a(c(x1))) 15.30/4.26 a(c(a(x1))) -> c(b(b(x1))) 15.30/4.26 15.30/4.26 Proof: 15.30/4.26 Matrix Interpretation Processor: dim=1 15.30/4.26 15.30/4.26 interpretation: 15.30/4.26 [b](x0) = 2x0, 15.30/4.26 15.30/4.26 [c](x0) = 2x0 + 1, 15.30/4.26 15.30/4.26 [a](x0) = 2x0 + 3 15.30/4.26 orientation: 15.30/4.26 c(a(a(x1))) = 8x1 + 19 >= 8x1 + 13 = c(b(a(x1))) 15.30/4.26 15.30/4.26 c(b(c(x1))) = 8x1 + 5 >= 8x1 + 5 = a(c(b(x1))) 15.30/4.26 15.30/4.26 b(b(c(x1))) = 8x1 + 4 >= 8x1 = b(b(b(x1))) 15.30/4.26 15.30/4.26 c(b(c(x1))) = 8x1 + 5 >= 8x1 + 2 = b(c(b(x1))) 15.30/4.26 15.30/4.26 b(b(a(x1))) = 8x1 + 12 >= 8x1 + 11 = c(a(c(x1))) 15.30/4.26 15.30/4.26 a(c(a(x1))) = 8x1 + 17 >= 8x1 + 1 = c(b(b(x1))) 15.30/4.26 problem: 15.30/4.26 strict: 15.30/4.26 c(b(c(x1))) -> a(c(b(x1))) 15.30/4.26 weak: 15.30/4.26 15.30/4.26 String Reversal Processor: 15.30/4.26 strict: 15.30/4.26 c(b(c(x1))) -> b(c(a(x1))) 15.30/4.26 weak: 15.30/4.26 15.30/4.26 Arctic Interpretation Processor: 15.30/4.26 dimension: 1 15.30/4.26 interpretation: 15.30/4.26 [b](x0) = 1x0, 15.30/4.26 15.30/4.26 [c](x0) = 2x0, 15.30/4.26 15.30/4.26 [a](x0) = 1x0 15.30/4.26 orientation: 15.30/4.26 c(b(c(x1))) = 5x1 >= 4x1 = b(c(a(x1))) 15.30/4.26 problem: 15.30/4.26 strict: 15.30/4.26 15.30/4.26 weak: 15.30/4.26 15.30/4.26 Qed 15.30/4.27 EOF