A Formal Synopsis of Lambek-Montague Grammar

In the context of formal grammar we sketch a review of the smooth integration of the logical semantics of Montague with the logical syntax of Lambek: Lambek-Montague grammar. This highlights a pristine compositional architecture of categorial grammar founded on methodology of computational logic. The main finding is that this approach lends itself to a further technical refinement of represention of grammar as Girard proof nets; we conclude by mentioning this prospect.

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Publication Details

Journal
Philosophies
Published
2025-12-22
DOI
https://doi.org/10.3390/philosophies11010001
Primary Topic
Logic, programming, and type systems
Type
article
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article

A Formal Synopsis of Lambek-Montague Grammar

Glyn Morrilll
Philosophies
Logic, programming, and type systems
article

A Formal Synopsis of Lambek-Montague Grammar

Glyn Morrilll
article en

Abstract

In the context of formal grammar we sketch a review of the smooth integration of the logical semantics of Montague with the logical syntax of Lambek: Lambek-Montague grammar. This highlights a pristine compositional architecture of categorial grammar founded on methodology of computational logic. The main finding is that this approach lends itself to a further technical refinement of represention of grammar as Girard proof nets; we conclude by mentioning this prospect.

PhilosophiesVol. 11(1)
Universitat Politècnica de Catalunya (ES)
Quality Education
Openalex Percentile: Top 19%
Logic, programming, and type systems
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A Formal Synopsis of Lambek-Montague Grammar — Glyn Morrilll · Philosophies (2025) | TGRS Research Map | TGRS