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Cartesian bicategories with choice
arXiv - CS - Logic in Computer Science Pub Date : 2020-03-20 , DOI: arxiv-2003.09453
Filippo Bonchi; Jens Seeber; Pawel Sobocinski

Relational structures are emerging as ubiquitous mathematical machinery in the semantics of open systems of various kinds. Cartesian bicategories are a well-known categorical algebra of relations that has proved especially useful in recent applications. The passage between a category and its bicategory of relations is an important question that has been widely studied for decades. We study an alternative construction that yields a cartesian bicategory of relations. Its behaviour is closely related to the axiom of choice, which itself can be expressed in the language of cartesian bicategories.
更新日期:2020-03-24

 

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