(STRATEGY
    INNERMOST)

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