Diagrammatic Polyhedral Algebra
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913194484695040 |
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| author | Bonchi, Filippo Di Giorgio, Alessandro Sobocinski, Pawel |
| author_facet | Bonchi, Filippo Di Giorgio, Alessandro Sobocinski, Pawel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_10946 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Diagrammatic Polyhedral Algebra Bonchi, Filippo Di Giorgio, Alessandro Sobocinski, Pawel Logic in Computer Science Category Theory 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. |
| title | Diagrammatic Polyhedral Algebra |
| topic | Logic in Computer Science Category Theory |
| url | https://arxiv.org/abs/2105.10946 |