YES (VAR x y) (RULES *(x,s(y)) -> +(*(x,y),x) *(x,0()) -> 0() +(x,s(y)) -> s(+(x,y)) +(x,0()) -> x ) (COMMENT Termination is shown by ELPO with interpretations on natural numbers +_A(x1,x2) = x1 0_A = 1 s_A(x1) = 0 *_A(x1,x2) = x1 + 1 0#_A = 0 s#_A(x1) = 0 *#_A(x1,x2) = 0 and precedence: * > + > s > 0 )