YES 2 decompositions #1 ----------- 1: +(x1,0()) -> x1 2: +(x2,s(x3)) -> s(+(x2,x3)) #2 ----------- 3: -(0(),x4) -> 0() 4: -(x5,0()) -> x5 5: -(s(x6),s(x7)) -> -(x6,x7) @Knuth and Bendix' criterion --- R 1: +(x1,0()) -> x1 2: +(x2,s(x3)) -> s(+(x2,x3)) --- S 1: +(x1,0()) -> x1 2: +(x2,s(x3)) -> s(+(x2,x3)) @Knuth and Bendix' criterion --- R 3: -(0(),x4) -> 0() 4: -(x5,0()) -> x5 5: -(s(x6),s(x7)) -> -(x6,x7) --- S 3: -(0(),x4) -> 0() 4: -(x5,0()) -> x5 5: -(s(x6),s(x7)) -> -(x6,x7)