Proof pearl: The marriage theorem

Dongchen Jiang, Tobias Nipkow

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We describe two formal proofs of the finite version of Hall's Marriage Theorem performed with the proof assistant Isabelle/HOL, one by Halmos and Vaughan and one by Rado. The distinctive feature of our formalisation is that instead of sequences (often found in statements of this theorem) we employ indexed families, thus avoiding tedious reindexing of sequences.

Original languageEnglish
Title of host publicationCertified Programs and Proofs - First International Conference, CPP 2011, Proceedings
Pages394-399
Number of pages6
DOIs
StatePublished - 2011
Event1st International Conference on Certified Programs and Proofs, CPP 2011 - Kenting, Taiwan, Province of China
Duration: 7 Dec 20119 Dec 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7086 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st International Conference on Certified Programs and Proofs, CPP 2011
Country/TerritoryTaiwan, Province of China
CityKenting
Period7/12/119/12/11

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