English

Pregroup Grammars, their Syntax and Semantics

Computation and Language 2021-09-24 v1

Abstract

Pregroup grammars were developed in 1999 and stayed Lambek's preferred algebraic model of grammar. The set-theoretic semantics of pregroups, however, faces an ambiguity problem. In his latest book, Lambek suggests that this problem might be overcome using finite dimensional vector spaces rather than sets. What is the right notion of composition in this setting, direct sum or tensor product of spaces?

Keywords

Cite

@article{arxiv.2109.11237,
  title  = {Pregroup Grammars, their Syntax and Semantics},
  author = {Mehrnoosh Sadrzadeh},
  journal= {arXiv preprint arXiv:2109.11237},
  year   = {2021}
}

Comments

https://doi.org/10.1007/978-3-030-66545-6_1

R2 v1 2026-06-24T06:14:57.851Z