## Paper: A constructive proof of Higman's lemma (at LICS 1990)

**Chetan R. Murthy James R. Russell**

### Abstract

G. Higman's lemma (1952) is a special case of the more general Kruskal's tree embedding theorem and the graph minor theorem. A direct constructive proof of the lemma with manifest computational content is presented. This is done by reducing the problem to a construction of certain sets of sequential regular expressions. A well-founded order on such sets is exhibited, and the lemma then follows by induction

### BibTeX

@InProceedings{MurthyRussell-Aconstructiveproofo, author = {Chetan R. Murthy and James R. Russell}, title = {A constructive proof of Higman's lemma}, booktitle = {Proceedings of the Fifth Annual IEEE Symposium on Logic in Computer Science (LICS 1990)}, year = {1990}, month = {June}, pages = {257--267}, location = {Philadelphia, PA, USA}, publisher = {IEEE Computer Society Press} }