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An algebraic approach to translating Japanese

Boboc Valentin

Journal of Language Modelling

2023

Vol. 11, No. 1

121--146

We use Lambek’s pregroups and the framework of compositional distributional models of language(“DisCoCat”) to study translations from Japanese to English as pairs of functors. Adding decorations to pre-groups, we show how to handle word order changes between languages.

Conjoinability in Pregroups

Kiślak-Malinowska A.

Fundamenta Informaticae

2004

Vol. 61, nr 1

29--36

Pregroups are introduced by Lambek as a framework for syntactic analysis of Natural Language; they are algebraic models of Compact Bilinear Logic. In the present paper we consider the problem of conjoinability in the calculus of pregroups. We show that two types are conjoinable in a pregroup iff they are equal in a free group. This result is analogous to Pentus' characterization of conjoinability in the Lambek calculus.