Diagrammatic Algebra of First Order Logic
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913196098453504 |
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| author | Bonchi, Filippo Di Giorgio, Alessandro Haydon, Nathan Sobocinski, Pawel |
| author_facet | Bonchi, Filippo Di Giorgio, Alessandro Haydon, Nathan Sobocinski, Pawel |
| contents | We introduce the calculus of neo-Peircean relations, a string diagrammatic extension of the calculus of binary relations that has the same expressivity as first order logic and comes with a complete axiomatisation. The axioms are obtained by combining two well known categorical structures: cartesian and linear bicategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagrammatic Algebra of First Order Logic Bonchi, Filippo Di Giorgio, Alessandro Haydon, Nathan Sobocinski, Pawel Logic in Computer Science Category Theory We introduce the calculus of neo-Peircean relations, a string diagrammatic extension of the calculus of binary relations that has the same expressivity as first order logic and comes with a complete axiomatisation. The axioms are obtained by combining two well known categorical structures: cartesian and linear bicategories. |
| title | Diagrammatic Algebra of First Order Logic |
| topic | Logic in Computer Science Category Theory |
| url | https://arxiv.org/abs/2401.07055 |