Problem: F(c(x)) -> G(x) G(x) -> F(x) c(x) -> x Proof: Church Rosser Transformation Processor (critical pair closing system, Thm 2.11): G(x14) -> F(x14) critical peaks: joinable Matrix Interpretation Processor: dim=1 interpretation: [G](x0) = 4x0 + 1, [F](x0) = 4x0 orientation: G(x14) = 4x14 + 1 >= 4x14 = F(x14) problem: Qed