Trees and learning

  • Authors:
  • Wolfgang Merkle;Frank Stephan

  • Affiliations:
  • Ruprecht-Karls-Unwersität Heidelberg, Institut für Informatik, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany;NICTA, Sydney Node, The University of New South Wales, Sydney NSW 2052, Australia

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2004

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Abstract

We characterize FIN-, EX- and BC-learning, as well as the corresponding notions of team learning, in terms of isolated branches on effectively given sequences of trees. The more restrictive models of FIN-learning and strong-monotonic BC-learning are characterized in terms of isolated branches on a single tree. Furthermore, we discuss learning with additional information where the learner receives an index for a strongly recursive tree such that the function to be learned is isolated on this tree. We show that EXlearning with this type of additional information is strictly more powerful than EX-learning.