English

Parikh's Theorem: A simple and direct automaton construction

Formal Languages and Automata Theory 2012-07-03 v3

Abstract

Parikh's theorem states that the Parikh image of a context-free language is semilinear or, equivalently, that every context-free language has the same Parikh image as some regular language. We present a very simple construction that, given a context-free grammar, produces a finite automaton recognizing such a regular language.

Cite

@article{arxiv.1006.3825,
  title  = {Parikh's Theorem: A simple and direct automaton construction},
  author = {Javier Esparza and Pierre Ganty and Stefan Kiefer and Michael Luttenberger},
  journal= {arXiv preprint arXiv:1006.3825},
  year   = {2012}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-21T15:38:26.462Z