Adhesive Category Theory for Graph Rewriting in Rocq

We design a Rocq library about adhesive categories, using Hierarchy Builder (HB). It is built around two hierarchies. The first is for categories, with usual categories at the bottom and adhesive categories at the top, with weaker variants of adhesive categories in between. The second is for morphisms (notably isomorphisms, monomorphisms and regular monomorphisms). Each level of these hierarchies is equipped with several interfaces to define instances.

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Publication Details

Published
2026-01-08
DOI
https://doi.org/10.1145/3779031.3779105
Primary Topic
Logic, programming, and type systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Adhesive Category Theory for Graph Rewriting in Rocq

Logic, programming, and type systems
article

Adhesive Category Theory for Graph Rewriting in Rocq

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Abstract

We design a Rocq library about adhesive categories, using Hierarchy Builder (HB). It is built around two hierarchies. The first is for categories, with usual categories at the bottom and adhesive categories at the top, with weaker variants of adhesive categories in between. The second is for morphisms (notably isomorphisms, monomorphisms and regular monomorphisms). Each level of these hierarchies is equipped with several interfaces to define instances.

École Normale Supérieure de Lyon (FR), Centre National de la Recherche Scientifique (FR)
Agence Nationale de la Recherche
Reduced inequalities
Openalex Percentile: Top 93%
Logic, programming, and type systems
DOIOpen Access PDFOpenAlex
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Adhesive Category Theory for Graph Rewriting in Rocq · (2026) | TGRS Research Map | TGRS