A Diagrammatic Basis for Computer Programming
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866918458343555072 |
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| author | Bonchi, Filippo Di Giorgio, Alessandro Di Lavore, Elena |
| author_facet | Bonchi, Filippo Di Giorgio, Alessandro Di Lavore, Elena |
| contents | Tape diagrams provide a convenient graphical notation for arrows of rig categories, i.e., categories equipped with two monoidal products, $\oplus$ and $\otimes$. In this work, we introduce Kleene-Cartesian rig categories, namely rig categories where $\otimes$ provides a Cartesian bicategory, while $\oplus$ a Kleene bicategory. We show that the associated tape diagrams can conveniently deal with imperative programs and various program logic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Diagrammatic Basis for Computer Programming Bonchi, Filippo Di Giorgio, Alessandro Di Lavore, Elena Logic in Computer Science Tape diagrams provide a convenient graphical notation for arrows of rig categories, i.e., categories equipped with two monoidal products, $\oplus$ and $\otimes$. In this work, we introduce Kleene-Cartesian rig categories, namely rig categories where $\otimes$ provides a Cartesian bicategory, while $\oplus$ a Kleene bicategory. We show that the associated tape diagrams can conveniently deal with imperative programs and various program logic. |
| title | A Diagrammatic Basis for Computer Programming |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2512.07240 |