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arXiv · 2311.01790

A First Order Theory of Diagram Chasing

Assia Mahboubi·Matthieu Piquerez
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Abstract

This paper discusses the formalization of proofs "by diagram chasing", a standard technique for proving properties in abelian categories. We discuss how the essence of diagram chases can be captured by a simple many-sorted first-order theory, and we study the models and decidability of this theory. The longer-term motivation of this work is the design of a computer-aided instrument for writing reliable proofs in homological algebra, based on interactive theorem provers.

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Assia Mahboubi, Matthieu Piquerez. 2023-11-03. A First Order Theory of Diagram Chasing. https://arxiv.org/abs/2311.01790

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