This article presents the first formalization of Kurskal's tree theorem in aproof assistant. The Isabelle/HOL development is along the lines of Nash-Williams' original minimal bad sequence argument for proving the treetheorem. Along the way, proofs of Dickson's lemma and Higman's lemma, as well as some technical details of the formalization are discussed.
@article{4213, title = {Certified Kruskal's Tree Theorem}, journal = {Journal of Formalized Reasoning}, volume = {7}, year = {2014}, doi = {10.6092/issn.1972-5787/4213}, language = {EN}, url = {http://dml.mathdoc.fr/item/4213} }
Sternagel, Christian. Certified Kruskal's Tree Theorem. Journal of Formalized Reasoning, Tome 7 (2014) . doi : 10.6092/issn.1972-5787/4213. http://gdmltest.u-ga.fr/item/4213/