12.94/3.75 YES 12.94/3.75 12.94/3.75 Problem: 12.94/3.75 strict: 12.94/3.75 c(c(c(x1))) -> a(b(c(x1))) 12.94/3.75 b(a(c(x1))) -> b(c(b(x1))) 12.94/3.75 weak: 12.94/3.75 a(b(a(x1))) -> c(a(c(x1))) 12.94/3.75 b(b(c(x1))) -> a(b(b(x1))) 12.94/3.75 c(a(b(x1))) -> b(c(c(x1))) 12.94/3.75 a(b(c(x1))) -> b(b(b(x1))) 12.94/3.75 12.94/3.75 Proof: 12.94/3.75 Matrix Interpretation Processor: dim=1 12.94/3.75 12.94/3.75 interpretation: 12.94/3.75 [a](x0) = 2x0 + 11, 12.94/3.75 12.94/3.75 [b](x0) = 2x0 + 2, 12.94/3.75 12.94/3.75 [c](x0) = 2x0 + 5 12.94/3.75 orientation: 12.94/3.75 c(c(c(x1))) = 8x1 + 35 >= 8x1 + 35 = a(b(c(x1))) 12.94/3.75 12.94/3.75 b(a(c(x1))) = 8x1 + 44 >= 8x1 + 20 = b(c(b(x1))) 12.94/3.75 12.94/3.75 a(b(a(x1))) = 8x1 + 59 >= 8x1 + 47 = c(a(c(x1))) 12.94/3.75 12.94/3.75 b(b(c(x1))) = 8x1 + 26 >= 8x1 + 23 = a(b(b(x1))) 12.94/3.75 12.94/3.75 c(a(b(x1))) = 8x1 + 35 >= 8x1 + 32 = b(c(c(x1))) 12.94/3.75 12.94/3.75 a(b(c(x1))) = 8x1 + 35 >= 8x1 + 14 = b(b(b(x1))) 12.94/3.75 problem: 12.94/3.75 strict: 12.94/3.75 c(c(c(x1))) -> a(b(c(x1))) 12.94/3.75 weak: 12.94/3.75 12.94/3.75 String Reversal Processor: 12.94/3.75 strict: 12.94/3.75 c(c(c(x1))) -> c(b(a(x1))) 12.94/3.75 weak: 12.94/3.75 12.94/3.75 Arctic Interpretation Processor: 12.94/3.75 dimension: 1 12.94/3.75 interpretation: 12.94/3.75 [a](x0) = 1x0, 12.94/3.75 12.94/3.75 [b](x0) = 2x0, 12.94/3.75 12.94/3.75 [c](x0) = 5x0 12.94/3.75 orientation: 12.94/3.75 c(c(c(x1))) = 15x1 >= 8x1 = c(b(a(x1))) 12.94/3.75 problem: 12.94/3.75 strict: 12.94/3.75 12.94/3.75 weak: 12.94/3.75 12.94/3.75 Qed 13.52/3.76 EOF