x . x).If f is recursive f = fix Fwhere F is some ">, we can represent it as f = fix Fwhere F is some higher-order function fix F = F (fix F).The standard "> 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 fix F = LUB {bottom, F bottom, F (F bottom), ...}.The least fixed point is guaranteed to exist for a {continuous} function over a "> 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 (F bottom), ...}.The least fixed point is guaranteed to exist for a {continuous} function over a cpo.(2005-04-12)cpo.(2005-04-12)……">