On some open problems in reflective inductive inference

  • Authors:
  • Sanjay Jain

  • Affiliations:
  • School of Computing, National University of Singapore, Singapore 117590

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

In this paper we show that there exist classes of functions which can be learnt by a finite learner which reflects on its capability, but not learnable by a consistent learner which optimistically reflects on its capability. This solves the two mentioned open problems from [G. Grieser, Reflective inductive inference of recursive functions, Theoretical Computer Science A 397 (1-3) (2008) 57-69 (Special Issue on Forty Years of Inductive Inference. Dedicated to the 60th Birthday of Rolf Wiehagen)].