Pregroup Grammars, their Syntax and Semantics
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Abstract (arXiv)
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?
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 11 of its 47 references that are in the map. First posted on arXiv 23 Sep 2021.
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References · 11
- 2014The Frobenius anatomy of word meanings I: subject and object relative pronounscited by 24
- 2013Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculuscited by 13
- 2013Towards a Formal Distributional Semantics: Simulating Logical Calculi with Tensorscited by 10
- 2014Evaluating Neural Word Representations in Tensor-Based Compositional Settingscited by 7
- 2015Compositional Distributional Semantics with Compact Closed Categories and Frobenius Algebrascited by 4
- 2016A Generalised Quantifier Theory of Natural Language in Categorical Compositional Distributional Semantics with Bialgebrascited by 4
- 2018Towards Compositional Distributional Discourse Analysiscited by 4
- 2013Multi-Step Regression Learning for Compositional Distributional Semanticscited by 2
- 2017Embedding Tarskian Semantics in Vector Spacescited by 2
- 2018Exploring Semantic Incrementality with Dynamic Syntax and Vector Space Semanticscited by 2
- 2019A Typedriven Vector Semantics for Ellipsis with Anaphora using Lambek Calculus with Limited Contractioncited by 2
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