MAYBE Problem: a(x1) -> b(b(c(x1))) a(c(b(x1))) -> c(a(a(x1))) c(b(x1)) -> x1 Proof: RT Transformation Processor: strict: a(x1) -> b(b(c(x1))) a(c(b(x1))) -> c(a(a(x1))) c(b(x1)) -> x1 weak: Matrix Interpretation Processor: dimension: 1 interpretation: [b](x0) = x0, [c](x0) = x0 + 16, [a](x0) = x0 + 10 orientation: a(x1) = x1 + 10 >= x1 + 16 = b(b(c(x1))) a(c(b(x1))) = x1 + 26 >= x1 + 36 = c(a(a(x1))) c(b(x1)) = x1 + 16 >= x1 = x1 problem: strict: a(x1) -> b(b(c(x1))) a(c(b(x1))) -> c(a(a(x1))) weak: c(b(x1)) -> x1 Matrix Interpretation Processor: dimension: 1 interpretation: [b](x0) = x0 + 9, [c](x0) = x0 + 8, [a](x0) = x0 + 4 orientation: a(x1) = x1 + 4 >= x1 + 26 = b(b(c(x1))) a(c(b(x1))) = x1 + 21 >= x1 + 16 = c(a(a(x1))) c(b(x1)) = x1 + 17 >= x1 = x1 problem: strict: a(x1) -> b(b(c(x1))) weak: a(c(b(x1))) -> c(a(a(x1))) c(b(x1)) -> x1 Open