11.90/3.33 YES 11.90/3.33 11.90/3.33 Problem: 11.90/3.33 strict: 11.90/3.33 b(c(b(x1))) -> a(c(c(x1))) 11.90/3.33 c(b(b(x1))) -> c(c(b(x1))) 11.90/3.33 weak: 11.90/3.33 c(a(a(x1))) -> c(b(b(x1))) 11.90/3.33 a(c(a(x1))) -> b(a(a(x1))) 11.90/3.33 a(c(b(x1))) -> b(a(c(x1))) 11.90/3.33 11.90/3.33 Proof: 11.90/3.33 String Reversal Processor: 11.90/3.33 strict: 11.90/3.33 b(c(b(x1))) -> c(c(a(x1))) 11.90/3.33 b(b(c(x1))) -> b(c(c(x1))) 11.90/3.33 weak: 11.90/3.33 a(a(c(x1))) -> b(b(c(x1))) 11.90/3.33 a(c(a(x1))) -> a(a(b(x1))) 11.90/3.33 b(c(a(x1))) -> c(a(b(x1))) 11.90/3.33 Matrix Interpretation Processor: dim=2 11.90/3.33 11.90/3.33 interpretation: 11.90/3.33 [1 0] [1] 11.90/3.33 [a](x0) = [1 0]x0 + [0], 11.90/3.33 11.90/3.33 [1 2] 11.90/3.33 [c](x0) = [0 0]x0, 11.90/3.33 11.90/3.33 [1 0] [0] 11.90/3.33 [b](x0) = [1 0]x0 + [1] 11.90/3.33 orientation: 11.90/3.33 [3 0] [2] [3 0] [1] 11.90/3.33 b(c(b(x1))) = [3 0]x1 + [3] >= [0 0]x1 + [0] = c(c(a(x1))) 11.90/3.33 11.90/3.33 [1 2] [0] [1 2] [0] 11.90/3.33 b(b(c(x1))) = [1 2]x1 + [1] >= [1 2]x1 + [1] = b(c(c(x1))) 11.90/3.33 11.90/3.33 [1 2] [2] [1 2] [0] 11.90/3.33 a(a(c(x1))) = [1 2]x1 + [1] >= [1 2]x1 + [1] = b(b(c(x1))) 11.90/3.33 11.90/3.33 [3 0] [2] [1 0] [2] 11.90/3.33 a(c(a(x1))) = [3 0]x1 + [1] >= [1 0]x1 + [1] = a(a(b(x1))) 11.90/3.33 11.90/3.33 [3 0] [1] [3 0] [1] 11.90/3.33 b(c(a(x1))) = [3 0]x1 + [2] >= [0 0]x1 + [0] = c(a(b(x1))) 11.90/3.33 problem: 11.90/3.33 strict: 11.90/3.33 b(b(c(x1))) -> b(c(c(x1))) 11.90/3.33 weak: 11.90/3.33 a(c(a(x1))) -> a(a(b(x1))) 11.90/3.33 b(c(a(x1))) -> c(a(b(x1))) 11.90/3.33 String Reversal Processor: 11.90/3.33 strict: 11.90/3.33 c(b(b(x1))) -> c(c(b(x1))) 11.90/3.33 weak: 11.90/3.33 a(c(a(x1))) -> b(a(a(x1))) 11.90/3.33 a(c(b(x1))) -> b(a(c(x1))) 11.90/3.33 LPO Processor: 11.90/3.33 precedence: 11.90/3.33 a > b > c 11.90/3.33 problem: 11.90/3.33 strict: 11.90/3.33 11.90/3.33 weak: 11.90/3.33 11.90/3.33 Qed 11.90/3.34 EOF