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The Ethereal
Functorial Semantics for Relational Theories
November 23, 2017 ยท The Ethereal ยท ๐ Polynesian Journal of Mathematics
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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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