The rooster and the butterflies

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Abstract

This paper describes a machine-checked proof of the Jordan-Hölder theorem for finite groups. This purpose of this description is to discuss the representation of the elementary concepts of finite group theory inside type theory. The design choices underlying these representations were crucial to the successful formalization of a complete proof of the Odd Order Theorem with the Coq system. © 2013 Springer-Verlag Berlin Heidelberg.
Original languageEnglish
Title of host publicationIntelligent Computer Mathematics - MKM, Calculemus, DML, and Systems and Projects 2013 - Held as Part of CICM 2013, Proceedings
Pages1-18
DOIs
Publication statusPublished - 2013
Externally publishedYes
EventConference on Intelligent Computer Mathematics, CICM 2013, Co-located with the MKM 2013, Calculemus 2013, DML 2013, and Systems and Projects 2013 - , United Kingdom
Duration: 8 Jul 201312 Jul 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceConference on Intelligent Computer Mathematics, CICM 2013, Co-located with the MKM 2013, Calculemus 2013, DML 2013, and Systems and Projects 2013
Country/TerritoryUnited Kingdom
Period8/07/1312/07/13

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