The Frobenius anatomy of word meanings II: possessive relative pronouns
arXiv:1406.4690 · doi:10.1093/logcom/exu027
Abstract
Within the categorical compositional distributional model of meaning, we provide semantic interpretations for the subject and object roles of the possessive relative pronoun `whose'. This is done in terms of Frobenius algebras over compact closed categories. These algebras and their diagrammatic language expose how meanings of words in relative clauses interact with each other. We show how our interpretation is related to Montague-style semantics and provide a truth-theoretic interpretation. We also show how vector spaces provide a concrete interpretation and provide preliminary corpus-based experimental evidence. In a prequel to this paper, we used similar methods and dealt with the case of subject and object relative pronouns.
arXiv comment40 pages, Journal of Logic and Computation, Essays dedicated to Roy Dyckhoff on the occasion of his retirement, S. Graham-Lengrand and D. Galmiche (eds.), 2014
References in corpus (5)
- A survey of graphical languages for monoidal categories
- Experimental Support for a Categorical Compositional Distributional Model of Meaning
- The Frobenius anatomy of word meanings I: subject and object relative pronouns
- Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculus
- Experimenting with Transitive Verbs in a DisCoCat
Cited by in corpus (21)
- QNLP in Practice: Running Compositional Models of Meaning on a Quantum Computer
- Quantum Natural Language Processing on Near-Term Quantum Computers
- A Study of Entanglement in a Categorical Framework of Natural Language
- Sentence Entailment in Compositional Distributional Semantics
- Grammar-aware sentence classification on quantum computers
- Quantum Mathematics in Artificial Intelligence
- Foundations for Near-Term Quantum Natural Language Processing
- Autonomization of Monoidal Categories
- Meaning updating of density matrices
- Coordination in Categorical Compositional Distributional Semantics
- Talking Space: inference from spatial linguistic meanings
- Towards Compositional Distributional Discourse Analysis
- A Corpus-based Toy Model for DisCoCat
- Internal Wiring of Cartesian Verbs and Prepositions
- Lambek pregroups are Frobenius spiders in preorders
- Compositional Distributional Cognition
- A Typedriven Vector Semantics for Ellipsis with Anaphora using Lambek Calculus with Limited Contraction
- An algebraic approach to translating Japanese
- DisCoCat for Donkey Sentences
- Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality
- Should Semantic Vector Composition be Explicit? Can it be Linear?