no code implementations • 10 Nov 2023 • 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.
no code implementations • 17 Jun 2023 • Matilde Marcolli, Robert C. Berwick, Noam Chomsky
In this paper we compare some old formulations of Minimalism, in particular Stabler's computational minimalism, and Chomsky's new formulation of Merge and Minimalism, from the point of view of their mathematical description in terms of Hopf algebras.
no code implementations • 29 May 2023 • 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 physics of renormalization.