Towards functorial language-games
| Authors |
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| Publication date | 08-11-2018 |
| Journal | Electronic Proceedings in Theoretical Computer Science |
| Event | Compositional Approaches in Physics, NLP, and Social Sciences 2018 |
| Volume | Issue number | 283 |
| Pages (from-to) | 89-102 |
| Organisations |
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| 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. |
| Document type | Article |
| Note | In: Proceedings of the 2018 Workshop on Compositional Approaches in Physics, NLP, and Social Sciences : Nice, France, 2-3rd September 2018. Edited by: Martha Lewis, Bob Coecke, Jules Hedges, Dimitri Kartsaklis and Dan Marsden. |
| Language | English |
| Published at | https://doi.org/10.4204/EPTCS.283.7 |
| Published at | https://arxiv.org/abs/1807.07828v2 |
| Other links | http://eptcs.web.cse.unsw.edu.au/content.cgi?CAPNS2018 |
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1807.07828v2
(Final published version)
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