A Formalization of Dedekind Domains and Class Groups of Global Fields-Reference-Cited by-同舟云学术

A Formalization of Dedekind Domains and Class Groups of Global Fields

Published:2022-09-08 Issue:4 Volume:66 Page:611-637
ISSN:0168-7433
Container-title:Journal of Automated Reasoning
language:en
Short-container-title:J Autom Reasoning

Author:

Baanen Anne^ORCID,Dahmen Sander R.^ORCID,Narayanan Ashvni^ORCID,Nuccio Mortarino Majno di Capriglio Filippo A. E.^ORCID

Abstract

AbstractDedekind domains and their class groups are notions in commutative algebra that are essential in algebraic number theory. We formalized these structures and several fundamental properties, including number-theoretic finiteness results for class groups, in the Lean prover as part of the mathematical library. This paper describes the formalization process, noting the idioms we found useful in our development and ’s decentralized collaboration processes involved in this project.

Funder

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Engineering and Physical Sciences Research Council

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computational Theory and Mathematics,Software

Link

https://link.springer.com/content/pdf/10.1007/s10817-022-09644-0.pdf

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3. Baanen, T., Dahmen, S.R., Ashvni N., Nuccio Mortarino Majno di Capriglio, F.A.E.: A Formalization of Dedekind Domains and Class Groups of Global Fields. In: Cohen, L., Kaliszyk, C. (eds.) ITP 2021. LIPIcs, vol. 193, pp. 5–1519. Schloss Dagstuhl—Leibniz-Zentrum für Informatik, Dagstuhl, Germany (2021). https://doi.org/10.4230/LIPIcs.ITP.2021.5. https://drops.dagstuhl.de/opus/volltexte/2021/13900

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