Identifying Terminal Distinguishable Languages

  • Authors:
  • H. Fernau

  • Affiliations:
  • School of Electrical Engineering and Computer Science, University of Newcastle, University Drive, NSW 2308 Callaghan, Australia and Wilhelm-Schickard-Institut für Informatik, Universität ...

  • Venue:
  • Annals of Mathematics and Artificial Intelligence
  • Year:
  • 2004

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Abstract

We discuss new efficient learning algorithms for certain subclasses of regular and even linear languages based on the notion of terminal distinguishability introduced by Radhakrishnan and Nagaraja. The learning model we use is identification in the limit from positive samples as proposed by Gold and further studied by Angluin and many others. All classes we introduce in this paper are modifications of the language families TDRL (terminal distinguishable regular) and TDELL (terminal distinguishable even linear) defined by Radhakrishnan and Nagaraja. A tradeoff between the power of the language class and the time complexity of the identification algorithm is observed when the size of the underlying alphabet is considered as an additional parameter. Extending the classes of efficiently learnable languages is also important from the viewpoint of applications of the algorithms. One of these extensions is obtained basically by making use of the concept of control language which is known from formal language theory and has been employed for learning theoretic purposes in particular by Takada.