DROPS

Document

DOI: 10.4230/LIPIcs.CSL.2024.38

A First Order Theory of Diagram Chasing

Authors: Assia Mahboubi and Matthieu Piquerez

Published in: LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)

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.

Cite as

Assia Mahboubi and Matthieu Piquerez. A First Order Theory of Diagram Chasing. In 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 288, pp. 38:1-38:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

Copy BibTex To Clipboard

@InProceedings{mahboubi_et_al:LIPIcs.CSL.2024.38,
  author =	{Mahboubi, Assia and Piquerez, Matthieu},
  title =	{{A First Order Theory of Diagram Chasing}},
  booktitle =	{32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)},
  pages =	{38:1--38:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-310-2},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{288},
  editor =	{Murano, Aniello and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.38},
  URN =		{urn:nbn:de:0030-drops-196817},
  doi =		{10.4230/LIPIcs.CSL.2024.38},
  annote =	{Keywords: Diagram chasing, formal proofs, abelian categories, decidability}
}

Search Results

Documents authored by Piquerez, Matthieu

A First Order Theory of Diagram Chasing

Abstract

Cite as

Thanks for your feedback!

Could not send message