English

A Topological proof that $O_2$ is $2$-MCFL

Formal Languages and Automata Theory 2017-11-01 v2 Algebraic Topology

Abstract

We give a new proof of Salvati's theorem that the group language O2O_2 is 22 multiple context free. Unlike Salvati's proof, our arguments do not use any idea specific to two-dimensions. This raises the possibility that the argument might generalize to OnO_n.

Cite

@article{arxiv.1710.04597,
  title  = {A Topological proof that $O_2$ is $2$-MCFL},
  author = {Subhadip Chowdhury},
  journal= {arXiv preprint arXiv:1710.04597},
  year   = {2017}
}

Comments

11 figures, 2 tables

R2 v1 2026-06-22T22:11:44.378Z