Extended pregroup grammars applied to natural languages

Abstract

Pregroups and pregroup grammars were introduced by Lambek in 1999 [14] as an algebraic tool for the syntactic analysis of natural languages. The main focus in that paper was on certain extended pregroup grammars such as pregroups with modalities, product pregroup grammars and tupled pregroup grammars. Their applications to different syntactic structures of natural languages, mainly Polish, are explored/shown here.

$π$-augmented pregroups and applications to linguistics

“…Several ways of decorating pregroups with additional structures have been considered. The reader is encouraged to consult the linguistics focused discussions in [KM12] [Lam07]. A prominent decoration is Fadda's β-pregroups (or pregroups with modalities) [Fad02][KM07], where pregroups are decorated with an additional operator β which locally suppresses the associativity of the underlying monoidal operation.…”