TY  - GEN
EP  - 182
Y1  - 2021/02/08/
AV  - public
SP  - 168
TI  - Categorical vector space semantics for lambek calculus with a relevant modality (extended abstract)
N1  - This work is licensed under the
Creative Commons Attribution License. http://creativecommons.org/licenses/by/3.0/
UR  - https://cgi.cse.unsw.edu.au/~eptcs/content.cgi?ACT2020
PB  - EPTCS
ID  - discovery10122601
N2  - We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality, !L
?
, which has a limited version of the contraction and permutation rules. The
categorical part of the semantics is a monoidal biclosed category with a coalgebra modality as defined on Differential Categories. We instantiate this category to finite dimensional vector spaces and
linear maps via ?quantisation? functors and work with three concrete interpretations of the coalgebra modality. We apply the model to construct categorical and concrete semantic interpretations for
the motivating example of !L
?
: the derivation of a phrase with a parasitic gap. The effectiveness of
the concrete interpretations are evaluated via a disambiguation task, on an extension of a sentence
disambiguation dataset to parasitic gap phrases, using BERT, Word2Vec, and FastText vectors and
Relational tensors
A1  - McPheat, L
A1  - Sadrzadeh, M
A1  - Wazni, H
A1  - Wijnholds, G
CY  - Cambridge, MA, USA
ER  -