(STRATEGY
    INNERMOST)

(VAR
    x y)
(DATATYPES
    A = µX.< 0, s(X) >)
(SIGNATURES
    fac :: [A] -> A
    floop :: [A x A] -> A
    * :: [A x A] -> A
    + :: [A x A] -> A
    1 :: [] -> A)
(RULES
    fac(0()) -> 1()
    fac(s(x)) -> *(s(x),fac(x))
    floop(0(),y) -> y
    floop(s(x),y) -> floop(x
                          ,*(s(x),y))
    *(x,0()) -> 0()
    *(x,s(y)) -> +(*(x,y),x)
    +(x,0()) -> x
    +(x,s(y)) -> s(+(x,y))
    1() -> s(0())
    fac(0()) -> s(0()))