(STRATEGY
    INNERMOST)

(VAR
    x y)
(DATATYPES
    A = µX.< 0, s(X), true, false >)
(SIGNATURES
    minus :: [A x A] -> A
    le :: [A x A] -> A
    quot :: [A x A] -> A
    if_quot :: [A x A x A] -> A)
(RULES
    minus(x,0()) -> x
    minus(s(x),s(y)) -> minus(x,y)
    le(0(),y) -> true()
    le(s(x),0()) -> false()
    le(s(x),s(y)) -> le(x,y)
    quot(x,s(y)) -> if_quot(le(s(y)
                              ,x)
                           ,x
                           ,s(y))
    if_quot(true(),x,y) ->
      s(quot(minus(x,y),y))
    if_quot(false(),x,y) -> 0())