English

Regular Tree Algebras

Formal Languages and Automata Theory 2023-06-22 v4

Abstract

We introduce a class of algebras that can be used as recognisers for regular tree languages. We show that it is the only such class that forms a pseudo-variety and we prove the existence of syntactic algebras. Finally, we give a more algebraic characterisation of the algebras in our class.

Keywords

Cite

@article{arxiv.1808.03559,
  title  = {Regular Tree Algebras},
  author = {Achim Blumensath},
  journal= {arXiv preprint arXiv:1808.03559},
  year   = {2023}
}
R2 v1 2026-06-23T03:30:01.634Z