Functorial Semantics for Relational Theories

November 23, 2017 ยท The Ethereal ยท ๐Ÿ› Polynesian Journal of Mathematics

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Filippo Bonchi, Dusko Pavlovic, Pawel Sobocinski arXiv ID 1711.08699 Category cs.LO: Logic in CS Cross-listed cs.PL, math.CT Citations 23 Venue Polynesian Journal of Mathematics Last Checked 2 months ago
Abstract
We introduce the concept of Frobenius theory as a generalisation of Lawvere's functorial semantics approach to categorical universal algebra. Whereas the universe for models of Lawvere theories is the category of sets and functions, or more generally cartesian categories, Frobenius theories take their models in the category of sets and relations, or more generally in cartesian bicategories.
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