YES 1 decompositions #1 ----------- 1: f(g(x1)) -> h(g(x1),g(x1)) 2: f(s(x2)) -> h(s(x2),s(x2)) 3: g(x3) -> s(x3) @Knuth and Bendix' criterion --- R 1: f(g(x1)) -> h(g(x1),g(x1)) 2: f(s(x2)) -> h(s(x2),s(x2)) 3: g(x3) -> s(x3) --- S 1: f(g(x1)) -> h(g(x1),g(x1)) 2: f(s(x2)) -> h(s(x2),s(x2)) 3: g(x3) -> s(x3)