An Axiomatic Approach to Feature Term Generalization

  • Hassan Aït-Kaci
  • Yutaka Sasaki
Conference paper

DOI: 10.1007/3-540-44795-4_1

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2167)
Cite this paper as:
Aït-Kaci H., Sasaki Y. (2003) An Axiomatic Approach to Feature Term Generalization. In: De Raedt L., Flach P. (eds) Machine Learning: ECML 2001. ECML 2001. Lecture Notes in Computer Science, vol 2167. Springer, Berlin, Heidelberg

Abstract

This paper presents a missing link between Plotkin’s least general generalization formalism and generalization on the Order Sorted Feature (OSF) foundation. A feature term (or Ψ-term) is an extended logic term based on ordered sorts and is a normal form of an OSF-term. An axiomatic definition of Ψ-term generalization is given as a set of OSF clause generalization rules and the least generality of the axiomatic definition is proven in the sense of Plotkin’s least general generalization (lgg). The correctness of the definition is given on the basis of the axiomatic foundation. An operational definition of the least general generalization of clauses based on Ψ-terms is also shown as a realization of the axiomatic definition.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Hassan Aït-Kaci
    • 1
  • Yutaka Sasaki
    • 2
  1. 1.Simon Fraser University BurnabyCanada
  2. 2.NTT Communication Science LaboratoriesNTT CorporationKyotoJapan

Personalised recommendations