Formulating the template ILP consistency problem as a constraint satisfaction problem

  • Authors:
  • Roman Barták;Radomír Černoch;Ondřej Kuželka;Filip Železný

  • Affiliations:
  • Faculty of Mathematics and Physics, Charles University in Prague, Praha 1, Czech Republic;Faculty of Electrical Engineering, Czech Technical University in Prague, Praha 1, Czech Republic;Faculty of Electrical Engineering, Czech Technical University in Prague, Praha 1, Czech Republic;Faculty of Electrical Engineering, Czech Technical University in Prague, Praha 1, Czech Republic

  • Venue:
  • Constraints
  • Year:
  • 2013

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Abstract

Inductive Logic Programming (ILP) deals with the problem of finding a hypothesis covering positive examples and excluding negative examples, where both hypotheses and examples are expressed in first-order logic. In this paper we employ constraint satisfaction techniques to model and solve a problem known as template ILP consistency, which assumes that the structure of a hypothesis is known and the task is to find unification of the contained variables. In particular, we present a constraint model with index variables accompanied by a Boolean model to strengthen inference and hence improve efficiency. The efficiency of models is demonstrated experimentally.