Functorial Semantics for Relational Theories
Logic in Computer Science
2017-11-27 v1 Programming Languages
Category Theory
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.
Keywords
Cite
@article{arxiv.1711.08699,
title = {Functorial Semantics for Relational Theories},
author = {Filippo Bonchi and Dusko Pavlovic and Pawel Sobocinski},
journal= {arXiv preprint arXiv:1711.08699},
year = {2017}
}