YES TRS: a__zeros() -> cons(0(),zeros()) a__tail(cons(X,XS)) -> mark(XS) mark(zeros()) -> a__zeros() mark(tail(X)) -> a__tail(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(0()) -> 0() a__zeros() -> zeros() a__tail(X) -> tail(X) linear polynomial interpretations on N: a__zeros_A = 5 a__zeros#_A = 5 cons_A(x1,x2) = x1 + x2 + 2 cons#_A(x1,x2) = x1 + x2 + 2 0_A = 1 0#_A = 1 zeros_A = 1 zeros#_A = 1 a__tail_A(x1) = x1 + 4 a__tail#_A(x1) = x1 + 4 mark_A(x1) = x1 + 5 mark#_A(x1) = x1 + 5 tail_A(x1) = x1 + 4 tail#_A(x1) = x1 + 4 precedence: zeros > a__zeros > 0 > mark > cons > a__tail > tail