  In "Denotational semantics for programming languages, balanced quasi-metrics
and fixed points" (International Journal of Computer Mathematics 85 (2008),
623-630), J. Rodr\'{i}guez-L\'{o}pez, S. Romaguera and O. Valero introduced and
studied a balanced quasi-metric on any domain of (finite and infinite) words,
denoted by $q_{b}$. In this paper we show that the poset of formal balls
associated to $q_{b}$ has the structure of a continuous domain
