# Functorial Semantics for Relational Theories

arXiv: https://arxiv.org/abs/1711.08699 · HTML: https://mlsanity.com/paper/1711.08699/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Nov 2017.

## Built on by (most cited first, 1 of 1)

- [Symmetric Monoidal Categories with Attributes](https://mlsanity.com/paper/2101.10480/) (2021)

## Abstract (arXiv)

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.