DeepAI AI Chat
Log In Sign Up

Vector Space Semantics for Lambek Calculus with Soft Subexponentials

11/22/2021
by   Lachlan McPheat, et al.
UCL
0

We develop a vector space semantics for Lambek Calculus with Soft Subexponentials, apply the calculus to construct compositional vector interpretations for parasitic gap noun phrases and discourse units with anaphora and ellipsis, and experiment with the constructions in a distributional sentence similarity task. As opposed to previous work, which used Lambek Calculus with a Relevant Modality the calculus used in this paper uses a bounded version of the modality and is decidable. The vector space semantics of this new modality allows us to meaningfully define contraction as projection and provide a linear theory behind what we could previously only achieve via nonlinear maps.

READ FULL TEXT

page 1

page 2

page 3

page 4

10/20/2021

Anaphora and Ellipsis in Lambek Calculus with a Relevant Modality: Syntax and Semantics

Lambek calculus with a relevant modality !𝐋^* of arXiv:1601.06303 syntac...
01/26/2021

Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality (Extended Abstract)

We develop a categorical compositional distributional semantics for Lamb...
05/06/2020

Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality

We develop a categorical compositional distributional semantics for Lamb...
08/15/2019

Vector spaces as Kripke frames

In recent years, the compositional distributional approach in computatio...
10/24/2018

A Proof-Theoretic Approach to Scope Ambiguity in Compositional Vector Space Models

We investigate the extent to which compositional vector space models can...
01/23/2016

Undecidability of the Lambek calculus with a relevant modality

Morrill and Valentin in the paper "Computational coverage of TLG: Nonlin...
01/21/2018

Dialectica Categories for the Lambek Calculus

We revisit the old work of de Paiva on the models of the Lambek Calculus...