|least fixed point - A function f may have many fixed points (x such that f x =
x). For example, any value is a fixed point of the identity
function, (\ x . x). If f is recursive, we can represent it
f = fix F
where F is some higher-order function and
fix F = F (fix F).
The standard denotational semantics of f is then given by the least fixed point of F. This is the least upper bound of the infinite sequence (the ascending Kleene chain) obtained by repeatedly applying F to the totally undefined value, bottom. I.e.
fix F = LUB bottom, F bottom, F.
The least fixed point is guaranteed to exist for a continuous function over a cpo.