3 papers
cs.CL2025
A Lie-algebraic perspective on Tree-Adjoining Grammars
Isabella Senturia, Elizabeth Xiao, Matilde Marcolli
We provide a novel mathematical implementation of tree-adjoining grammars using two combinatorial definitions of graphs. With this lens, we demonstrate that the adjoining operation…
cs.CL2025
The Algebraic Structure of Morphosyntax
Isabella Senturia, Matilde Marcolli
Within the context of the mathematical formulation of Merge and the Strong Minimalist Thesis, we present a mathematical model of the morphology-syntax interface. In this setting, m…
math.CO2021
A New Partial Order on SYT
Gizem Karaali, Isabella Senturia, Müge Taşkin
We define a new partial order on , the set of all standard Young tableaux with cells, by combining the chain order with the notion of horizontal strips. We prove various…