Work

Towards Functorial Language-Games

Year: 2018

Type: article

Abstract: In categorical compositional semantics of natural language one studies functors from a category of grammatical derivations (such as a Lambek pregroup) to a semantic category (such as real vector spaces). We compositionally build game-theoretic semantics of sentences by taking the semantic category to be the category whose morphisms are open games. This requires some modifications to the grammar category to compensate for the failure of open games to form a compact closed category. We illustrate the theory using simple examples of Wittgenstein's language-games.

Source: Electronic Proceedings in Theoretical Computer Science

DOI: 10.4204/eptcs.283.7

Authors: Jules Hedges, Martha Lewis

Institutions: University of Oxford, University of Amsterdam

Language: English

Topic: Syntax, Semantics, Linguistic Variation

Subfield: Language and Linguistics

Field: Arts and Humanities

Domain: Social Sciences

Open Access status: diamond

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Engineering and Physical Sciences Research Council

Awards: Metaphorical Meanings for Artificial Agents, G669702667