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arXiv · 2512.07240

A Diagrammatic Basis for Computer Programming

Filippo Bonchi·Alessandro Di Giorgio·Elena Di Lavore
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Abstract

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.

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Filippo Bonchi, Alessandro Di Giorgio, Elena Di Lavore. 2025-12-08. A Diagrammatic Basis for Computer Programming. https://arxiv.org/abs/2512.07240

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