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cs.FLJun 1, 2010
52
citations (OpenAlex)
authors
  • Javier Esparza
  • Pierre Ganty
  • Stefan Kiefer
  • Michael Luttenberger
institutions
  • IMDEA Software Institute
  • Madrid Institute for Advanced Studies
  • Technical University of Munich
  • University of Oxford
arXiv abstractPDF
paper

Parikh's Theorem: A simple and direct automaton construction

arXiv:1006.3825 · doi:10.1016/j.ipl.2011.03.019

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.

12 pages, 3 figures

Cited by in corpus (10)

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  • Approximating Petri Net Reachability Along Context-free Traces
  • Bounded-oscillation Pushdown Automata
  • Solving non-linear Horn clauses using a linear Horn clause solver
  • The Parikh Property for Weighted Context-Free Grammars
  • String Solving with Word Equations and Transducers: Towards a Logic for Analysing Mutation XSS (Full Version)
  • Decidable Logics Combining Word Equations, Regular Expressions and Length Constraints
  • Converting Nondeterministic Automata and Context-Free Grammars into Parikh Equivalent One-Way and Two-Way Deterministic Automata
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