Pac-learning recursive logic programs: efficient algorithms

  • Authors:
  • William W. Cohen

  • Affiliations:
  • AT&T Bell Laboratories, Murray Hill, NJ

  • Venue:
  • Journal of Artificial Intelligence Research
  • Year:
  • 1995

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Abstract

We present algorithms that learn certain classes of function-free recursive logic programs in polynomial time from equivalence queries. In particular, we show that a single k-ary recursive constant-depth determinate clause is learnable. Two-clause programs consisting of one learnable recursive clause and one constant-depth determinate nonrecursive clause are also learnable, if an additional "basecase" oracle is assumed. These results immediately imply the pac-learnability of these classes. Although these classes of learnable recursive programs are very constrained, it is shown in a companion paper that they are maximally general, in that generalizing either class in any natural way leads to a computationally difficult learning problem. Thus, taken together with its companion paper, this paper establishes a boundary of efficient learnability for recursive logic programs.