Learnability of automatic classes

  • Authors:
  • Sanjay Jain;Qinglong Luo;Frank Stephan

  • Affiliations:
  • Department of Computer Science, National University of Singapore, Singapore 117417, Singapore;DSO National Laboratories, 20 Science Park Drive, Singapore 118230, Singapore;Department of Mathematics and Department of Computer Science, National University of Singapore, Singapore 119076, Singapore

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2012

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Abstract

The present work initiates the study of the learnability of automatic indexable classes which are classes of regular languages of a certain form. Angluin@?s tell-tale condition characterises when these classes are explanatorily learnable. Therefore, the more interesting question is when learnability holds for learners with complexity bounds, formulated in the automata-theoretic setting. The learners in question work iteratively, in some cases with an additional long-term memory, where the update function of the learner mapping old hypothesis, old memory and current datum to new hypothesis and new memory is automatic. Furthermore, the dependence of the learnability on the indexing is also investigated. This work brings together the fields of inductive inference and automatic structures.