complete partial ordering cpo <theory> (cpo) A {partial ordering} of a {set} under a {relation}, where all {directed} {subsets} have a {least upper bound}. A cpo is usually defined to include a least element, {bottom} (David Schmidt calls this a {pointed cpo}). A cpo which is {algebraic} and {boundedly complete} is a (Scott) {domain}. (1994-11-30)