(STRATEGY
    INNERMOST)

(VAR
    x y)
(DATATYPES
    A = µX.< 0, s(X) >)
(SIGNATURES
    plus :: [A x A] -> A
    times :: [A x A] -> A
    p :: [A] -> A
    fac :: [A] -> A)
(RULES
    plus(x,0()) -> x
    plus(x,s(y)) -> s(plus(x,y))
    times(0(),y) -> 0()
    times(x,0()) -> 0()
    times(s(x),y) -> plus(times(x,y)
                         ,y)
    p(s(s(x))) -> s(p(s(x)))
    p(s(0())) -> 0()
    fac(s(x)) -> times(fac(p(s(x)))
                      ,s(x)))