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arXiv:2311.06189cs.CL

Syntax-semantics interface: an algebraic model

Matilde Marcolli, Robert C. Berwick, Noam Chomsky

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Abstract

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.

arXiv comments
LaTeX, 75 pages, 19 figures
Journal reference
DOI
Subjects
cs.CLComputation and Language math.LOLogic math.QAQuantum Algebra math.RARings and Algebras

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Linked by 1 identifiable commenter in 1 comment across 1 thread, from May 2025 to May 2025. Found in 1 HN submission from Dec 2023 to Dec 2023. Open submission discussions.

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Discussed in comments1 thread

  1. Chomsky on what ChatGPT is good for (2023) 1 comment

    • Huh, cool - these papers are from 2023, same year as the article. https://arxiv.org/abs/2311.06189 https://arxiv.org/abs/2306.10270 https://arxiv.org/abs/2305.18278

      furyofantaresView on HNParent context

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