Diagrammatic Polyhedral Algebra
Logic in Computer Science
2024-01-17 v2 Category Theory
Abstract
We extend the theory of Interacting Hopf algebras with an order primitive, and give a sound and complete axiomatisation of the prop of polyhedral cones. Next, we axiomatise an affine extension and prove soundness and completeness for the prop of polyhedra.
Keywords
Cite
@article{arxiv.2105.10946,
title = {Diagrammatic Polyhedral Algebra},
author = {Filippo Bonchi and Alessandro Di Giorgio and Pawel Sobocinski},
journal= {arXiv preprint arXiv:2105.10946},
year = {2024}
}