Abstract

This article presents the first formalization of Kurskal's tree theorem in a proof assistant. The Isabelle/HOL development is along the lines of Nash-Williams' original minimal bad sequence argument for proving the tree theorem. Along the way, proofs of Dickson's lemma and Higman's lemma, as well as some technical details of the formalization are discussed.

Details

Title
Certified Kruskal's Tree Theorem
Author
Sternagel, Christian
Pages
45-62
Section
Articles
Publication year
2014
Publication date
2014
Publisher
Universita degli Studi di Bologna
e-ISSN
19725787
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2272175582
Copyright
© 2014. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.