Volume 2, Issue 6
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.
Citation:
Filippo Bonchi, Dusko Pavlovic, and Paweł Sobociński. Functorial semantics for relational theories. Polynesian Journal of Mathematics, Volume 2, Issue 6, Pages 1–56. (Oct. 2025) DOI: 10.69763/polyjmath.2.6
Milestones:
Received 23 Oct 2024
Revised 5 Oct 2025
Accepted 9 Oct 2025
Published 20 Oct 2025
Communicated by Gaetan Bisson
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