Learnability of Constrained Logic Programs

Saso Dzeroski, Stephen H. Muggleton, Stuart Russell

Abstract: The field of Inductive Logic Programming (ILP) is concerned with inducing logic programs from examples in the presence of back-ground knowledge. This paper defines the ILP problem and describes several syntactic restrictions that are often used in ILP. We then derive some positive results concerning the learnability of these restricted classes of logic programs, by reduction to a standard propositional learning problem. More specifically, k-literal predicate definitions consisting of constrained, function-free, nonrecursive program clauses are polynomially PAC-learnable under arbitrary distributions.