Resource Restricted Computability Theoretic Learning: Illustrative Topics and Problems

  • Authors:
  • John Case

  • Affiliations:
  • Department of Computer and Information Sciences, University of Delaware, Newark, DE 19716-2586, U.S.A.

  • Venue:
  • CiE '07 Proceedings of the 3rd conference on Computability in Europe: Computation and Logic in the Real World
  • Year:
  • 2007

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Abstract

Computability theoretic learning theory (machine inductive inference) typically involves learning programs for languages or functions from a stream of complete data about them and, importantly, allows mind changes as to conjectured programs. This theory takes into account algorithmicity but typically does nottake into account feasibilityof computational resources. This paper provides some example results and problems for three ways this theory can be constrained by computational feasibility. Considered are: the learner has memory limitations, the learned programs are desired to be optimal, and there are feasibility constraints on obtaining each output program andon the number of mind changes.