Problem: f(a()) -> f(f(a())) f(x) -> f(a()) Proof: Church Rosser Transformation Processor: strict: weak: critical peaks: 2 f(f(a())) <-0|[]- f(a()) -1|[]-> f(a()) f(a()) <-1|[]- f(a()) -0|[]-> f(f(a())) Redundant Rules Transformation: f(x) -> f(a()) Qed (ToyamaOyamaguchi95Cor22)