Non-distributive logics: from semantics to meaning

W Conradie, A Palmigiano, C Robinson… - arxiv preprint arxiv …, 2020‏ - arxiv.org
We discuss an ongoing line of research in the relational (non topological) semantics of non-
distributive logics. The developments we consider are technically rooted in dual …

Algebraic proof theory for LE-logics

G Greco, P Jipsen, F Liang, A Palmigiano… - ACM Transactions on …, 2024‏ - dl.acm.org
In this article, we extend the research programme in algebraic proof theory from axiomatic
extensions of the full Lambek calculus to logics algebraically captured by certain varieties of …

Anaphora and ellipsis in lambek calculus with a relevant modality: Syntax and semantics

L McPheat, G Wijnholds, M Sadrzadeh… - arxiv preprint arxiv …, 2021‏ - arxiv.org
Lambek calculus with a relevant modality $!\mathbf {L^*} $ of arxiv: 1601.06303 syntactically
resolves parasitic gaps in natural language. It resembles the Lambek calculus with …

Correspondence Theory on Vector Spaces

A Palmigiano, M Panettiere, NW Switrayni - International Workshop on …, 2024‏ - Springer
This paper extends correspondence theory to the framework of K-algebras, ie vector spaces
endowed with a bilinear operation, seen as 'Kripke frames'. For every K-algebra, the lattice …

Putting a spin on language: A quantum interpretation of unary connectives for linguistic applications

AD Correia, HTC Stoof, M Moortgat - arxiv preprint arxiv:2004.04128, 2020‏ - arxiv.org
Extended versions of the Lambek Calculus currently used in computational linguistics rely
on unary modalities to allow for the controlled application of structural rules affecting word …

Vector Symbolic Sub-objects Classifiers as Manifold Analogues

R Faraone, P Sutor, C Fermüller… - … Joint Conference on …, 2024‏ - ieeexplore.ieee.org
Vector Symbolic Architectures (VSAs) generally consist of a hyper-algebra that is defined on
points in a space of vectors. However, such a space is typically defined in usual ways, such …

[PDF][PDF] VU Research Portal

A Palmigiano, M Panettiere, NW Switrayni‏ - research.vu.nl
This paper extends correspondence theory to the framework of K-algebras, ie vector spaces
endowed with a bilinear operation, seen as 'Kripke frames'. For every K-algebra, the lattice …

[فهرست منابع][C] Quantum distributional semantics: Quantum algorithms applied to natural language processing

A Duarte Correia - 2022‏ - Utrecht University