Duality Theory and Categorical Universal Logic: With Emphasis on Quantum Structures

Categorical Universal Logic is a theory of monad-relativised hyperdoctrines (or fibred universal algebras), which in particular encompasses categorical forms of both first-order and higher-order quantum logics as well as classical, intuitionistic, and diverse substructural logics. Here we show there...

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Bibliographic Details
Main Author: Yoshihiro Maruyama
Format: Article
Language:English
Published: Open Publishing Association 2014-12-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1412.8526v1