Higher Order Generalization - Robotics Institute Carnegie Mellon University

Higher Order Generalization

Jianguo Lu, M. Harao, and M. Hagiya
Workshop Paper, JELIA '98 European Workshop on Logics in Artificial Intelligence, pp. 368 - 381, October, 1998

Abstract

Generalization is a fundamental operation of inductive inference. While first order syntactic generalization (anti-unification) is well understood, its various extensions are needed in applications. This paper discusses syntactic higher order generalization in a higher order language λ2[1]. Based on the application ordering, we proved the least general generalization exists and is unique up to renaming. An algorithm to compute the least general generalization is presented.

BibTeX

@workshop{Lu-1998-14781,
author = {Jianguo Lu and M. Harao and M. Hagiya},
title = {Higher Order Generalization},
booktitle = {Proceedings of JELIA '98 European Workshop on Logics in Artificial Intelligence},
year = {1998},
month = {October},
pages = {368 - 381},
}