Recognizing splicing languages: Syntactic monoids and simultaneous pumping

  • Authors:
  • Elizabeth Goode;Dennis Pixton

  • Affiliations:
  • Mathematics Department, Towson University, Towson, MD 21252, USA;Department of Mathematical Sciences, Binghamton University, Binghamton, NY 13902-6000, USA

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2007

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Abstract

We use syntactic monoid methods, together with an enhanced pumping lemma, to investigate the structure of splicing languages. We obtain an algorithm for deciding whether a regular language is a reflexive splicing language, but the general question remains open.