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.

翻译：我们将基于Hopf代数对合并操作和最简方案的表述扩展为句法-语义界面的代数模型。我们证明，理论物理学中重正化（提取有意义的物理量）所采用的方法可用于描述从句法表达式中提取意义的过程。我们展示了这一表述如何与语义计算模型相关联，并回应了近期关于大型语言模型当前运作方式对生成语言学影响的一些争议。