Research on group type theory and its functorial semantic models in category logic.

This paper explores the introduction of group structures within type theory, drawing from the algebraic theory proposed by Roy L. Crole. We define types with group structures and demonstrate that models of these types in categories with finite products can be interpreted as group objects. Each equat...

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Bibliographic Details
Main Authors: Jian-Gang Tang, Yimamujiang Aishan, Ji-Yu Liu, Jia-Yin Peng
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0326301
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