A Graphical Interface for Category Theory Proofs in Coq

The importance of category theory in recent developments in both mathematics and in computer science cannot be overstated.However, its abstract nature makes it difficult to understand at first.Graphical languages have been developed to help manage this abstraction, but they have not been used in proof assistants, most of which are text-based.We believe that a graphical interface for categorical proofs integrated in a generic proof assistant would allow students to familiarize themselves with diagrammatic reasoning on concrete proofs that they are already familiar with.We present an implementation of a Coq plugin that enables both visualization and interactions with Coq proofs in a graphical manner.

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Publication Details

Journal
Electronic Proceedings in Theoretical Computer Science
Published
2025-05-07
DOI
https://doi.org/10.4204/eptcs.419.2
Citations
1
Primary Topic
Logic, programming, and type systems
Type
article
Field-Weighted Citation Impact
2.48
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article

A Graphical Interface for Category Theory Proofs in Coq

Luc Chabassier
1 citations
Electronic Proceedings in Theoretical Computer Science
Logic, programming, and type systems
2.48
article

A Graphical Interface for Category Theory Proofs in Coq

Luc Chabassier
article en
1 citations

Abstract

The importance of category theory in recent developments in both mathematics and in computer science cannot be overstated.However, its abstract nature makes it difficult to understand at first.Graphical languages have been developed to help manage this abstraction, but they have not been used in proof assistants, most of which are text-based.We believe that a graphical interface for categorical proofs integrated in a generic proof assistant would allow students to familiarize themselves with diagrammatic reasoning on concrete proofs that they are already familiar with.We present an implementation of a Coq plugin that enables both visualization and interactions with Coq proofs in a graphical manner.

Electronic Proceedings in Theoretical Computer ScienceVol. 419
École Normale Supérieure - PSL (FR)
Openalex Percentile: Top 11%
Logic, programming, and type systems
2.48
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