The Mathematics of Sentence Structure

1958/03/01 by Joachim Lambek · 44 citations
Computer Science · #Rough Sets and Fuzzy Logic #Natural Language Processing Techniques #Authorship Attribution and Profiling

paper · doi:10.1080/00029890.1958.11989160

Abstract

(1958). The Mathematics of Sentence Structure. The American Mathematical Monthly: Vol. 65, No. 3, pp. 154-170.

Cited by

• Soar and the case for unified theories of cognition
• Lambek pregroups are Frobenius spiders in preorders
• From Dependency to Compositionality: A Neurosymbolic Lifting of LLM Outputs via Combinatory Categorial Grammar
• Ordered Adjoint Logic
• PHOTON: Hierarchical Autoregressive Modeling for Lightspeed and Memory-Efficient Language Generation
• A quantum teleportation inspired algorithm produces sentence meaning\n from word meaning and grammatical structure
• A Context-theoretic Framework for Compositionality in Distributional\n Semantics
• The finite representation property for some reducts of relation algebras
• A Study on Learnability for Rigid Lambek Grammars
• Non-commutative linear logic fragments with sub-context-free complexity
• Epistemic actions as resources
• Ludique : une logique sans axiome d'identité
• Robust Probabilistic Predictive Syntactic Processing
• On syntactic concept lattice models for the Lambek calculus and infinitary action logic
• Introduction to a Hypergraph Logic Unifying Different Variants of the Lambek Calculus
• Grover's Algorithm for Question Answering
• Talking Space: inference from spatial linguistic meanings
• On Permuting Cut with Contraction
• A Frobenius Algebraic Analysis for Parasitic Gaps
• Category-Theoretic Quantitative Compositional Distributional Models of Natural Language Semantics
• A sequent calculus for the Tamari order
• Context-theoretic Semantics for Natural Language: an Algebraic Framework
• Goldblatt-Thomason for LE-logics
• A Framework for Creating Natural Language User Interfaces for Action-Based Applications
• Eliminating the unit constant in the Lambek calculus with brackets
• Formalized Lambek Calculus in Higher Order Logic (HOL4)
• Tight complexity bounds for diagram commutativity verification
• Density Matrices with Metric for Derivational Ambiguity
• Logic Column 18: Alternative Logics: A Book Review
• Tableaux for the Lambek-Grishin calculus
• Meaning updating of density matrices
• Cross-Border Legal Adaptation of Autonomous Vehicle Design based on Logic and Non-monotonic Reasoning
• Judgment aggregation in non-classical logics
• Constraint Categorial Grammars
• Multi-dimensional Type Theory: Rules, Categories, and Combinators for Syntax and Semantics
• The Hidden Structural Rules of the Discontinuous Lambek Calculus
• Focalization and phase models for classical extensions of non-associative Lambek calculus
• Dependent Multiplicities in Dependent Linear Type Theory
• A Deductive Account of Quantification in LFG
• Group Theory and Grammatical Description
• Sequence processing with quantum-inspired tensor networks. [europepmc]
• Classical Data in Quantum Machine Learning Algorithms: Amplitude Encoding and the Relation Between Entropy and Linguistic Ambiguity. [europepmc]
• Hypergraph Basic Categorial Grammars [europepmc]
• Soft Subexponentials and Multiplexing [europepmc]

Related

• Grammatical structures in mathematics: a personal view
• Syntax: A Linguistic Introduction to Sentence Structure
• The Nature of Mathematical Proof
• An alternative Gospel of structure: order, composition, processes
• Mathematics : The Language of Science