LFG currently lacks an analysis of gapping at the syntax-semantics interface. The aim of this paper is to fill this gap. We sketch two codescriptive approaches that do not assume empty constituents: one employing standard Glue but relying on a particular approach to event semantics, and another compatible with any approach to semantics but relying on a particular approach to Glue at the syntax-semantics interface.
Przepiórkowski et al. (Sun,) studied this question.