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 of renormalization (extraction of meaningful
physical values) in theoretical physics are relevant to describe the extraction
of meaning from syntactic expressions. We show how this formulation relates to
computational models of semantics and we answer some recent controversies about
implications for generative linguistics of the current functioning of large
language models.