84 citations · 173 across the 13 of their papers we have counts for
3 papers · 1 filter
Syntax-semantics interface: an algebraic model
Matilde Marcolli, Robert C. Berwick, Noam Chomsky
We extend our formulation of Merge and Minimalism in terms of Hopf algebras to an algebraic model of a syntactic-semantic interface. We show that methods adopted in the formulation…
Gabor frames and higher dimensional boundaries in signal analysis on manifolds
Vasiliki Liontou, Matilde Marcolli
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can dete…
Mathematical Structure of Syntactic Merge
Matilde Marcolli, Noam Chomsky, Robert Berwick
The syntactic Merge operation of the Minimalist Program in linguistics can be described mathematically in terms of Hopf algebras, with a formalism similar to the one arising in the…