On the learnability of a restricted predicate formulae

  • Jilei Yin
  • Zhu Hong
Part of the Lecture Notes in Computer Science book series (LNCS, volume 710)


We extend Valiant's model to learn concepts defined by a subset of predicate logic. The results in this paper parallel those of D.Hasusser, but the restrictions implying these results go in different directions.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Blumer, A., Ehrenfeucht, A., Haussler, D., Warmuth, M. (1987) Occam's Razor. Infor. Process. Lett. 24, 377–380.CrossRefGoogle Scholar
  2. 2.
    Cohen,W.W & Hirsh,H. Learnability of Description Logics. COLT'92, 116–127Google Scholar
  3. 3.
    Dietterich,T.G & Michalski,R.S. (1983) A Comparetive Review of Selected Methods for Learning from Examples. in Machine Learning An Artificial Intelligence Approach. Ed. by Michalski,R.S. & Carbonell,J,G.Google Scholar
  4. 4.
    Garey, M. & Johnson, D. (1979) Computers and Intractablity A Guide to the theory of NP-completeness.Google Scholar
  5. 5.
    Haussler, D. (1988) Quantifying Inductive Bias: AI Learning Algorithms and Valiant's Model. Artif. Intell. 36, 177–221.CrossRefGoogle Scholar
  6. 6.
    Haussler, D. (1988) Learning Conjuncctive Concepts in Structural Domains. Tech Report UCSC-CRL-88-39Google Scholar
  7. 7.
    Kearns, M. Li, M. Laliant, L. Recent Results on Boolean concept Learning Proc. 4th Inter. Workshop on Machine Learning 267–280.Google Scholar
  8. 8.
    Mehlhorn, K (1984) Data Structures and Algorithms. vol.2: Graph Algorithms and NP-Complteness.Google Scholar
  9. 9.
    Pitt, L. Valiant, L.G. (1988) Computational Limitations on Learning from Examples. JACM Vol 85. No.4 Oct. 1988 965–984.CrossRefGoogle Scholar
  10. 10.
    Valiant, L. G. (1984) A theory of the learnable. Comm. ACM, 27, No.11, 1134–1142.CrossRefGoogle Scholar
  11. 11.
    Vere,S.A. (1975) Induction of Concepts in the Predicate Calculus. Proc. 4th IJCAI 281–287. Tbilisi, USSR.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Jilei Yin
    • 1
  • Zhu Hong
    • 2
  1. 1.Computer CenterFudan UniversityShanghaiChina
  2. 2.Computer Science Dept.Fudan UniversityShanghaiChina

Personalised recommendations