... account of semantics within HPSG is so underdetermined In this paper, we begin by giving a formal account of a very simplified form of the algebra and in §3, we consider its interpretation In §4 to ... (i.e., constructions) may contribute semantic information, but we assume that this information obeys all the same constraints as the semantics for a sign, so in effect such a rule is semantically ... postulates, or require an additional semantic combinator The HPSG account does not involve such additional machinery, but its formal underpinnings have been unclear: in this algebra, it can be seen that...