Canonical Constituents and Non-canonical Coordination Simple Categorial Grammar Account Oleg Kiselyov

Abstract. A variation of the standard non-associative Lambek calculus with the slightly non-standard yet very traditional semantic interpreta-tion turns out to straightforwardly and uniformly express the instances of non-canonical coordination while maintaining phrase structure con-stituents. Non-canonical coordination looks just as canonical on our anal-yses. Gapping, typically problematic in Categorial Grammar–based ap-proaches, is analyzed like the ordinary object coordination. Furthermore, the calculus uniformly treats quantification in any position, quantifica-tion ambiguity and islands. It lets us give what seems to be the simplest account for both narrow- and wide-scope quantification into coordinated phrases and of narrow- and wide-scope modal auxiliaries in gapping. The calculus lets us express standard covert movements and anaphoric-like references (analogues of overt movements) in types – as well as de-scribe how the context can block these movements.