A non-learnable class of E-pattern languages

  • Authors:
  • Daniel Reidenbach

  • Affiliations:
  • Fachbereich Informatik, Technische Universität Kaiserslautern, Postfach, Kaiserslautern, Germany

  • Venue:
  • Theoretical Computer Science - Algorithmic learning theory(ALT 2002)
  • Year:
  • 2006

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Abstract

We investigate the inferrability of E-pattern languages (also known as extended or erasing pattern languages) from positive data in Gold's learning model. As the main result, our analysis yields a negative outcome for the full class of E-pattern languages--and even for the subclass of terminal-free E-pattern languages--if the corresponding terminal alphabet consists of exactly two distinct letters. Furthermore, we present a positive result for a manifest subclass of terminal-free E-pattern languages. We point out that the considered problems are closely related to fundamental questions concerning the nondeterminism of E-pattern languages.