Well quasi-orders and context-free grammars

  • Authors:
  • Flavio D'Alessandro;Stefano Varricchio

  • Affiliations:
  • Dipartimento di Matematica, Università di Roma "La Sapienza" Piazzale Aldo Moro 2, 00185 Roma, Italy;Dipartimento di Matematica, Università di Roma "Tor Vergata", Viale della Ricerca Scientifica 1, 00133 Roma, Italy

  • Venue:
  • Theoretical Computer Science - Developments in language theory
  • Year:
  • 2004

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Abstract

Let G be a context-free grammar and let L be the language of all the words derived from any variable of G. We prove the following generalization of Higman's theorem: any division order on L is a well quasi-order on L. We also give applications of this result to some quasi-orders associated with unitary grammars.