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A new translation algorithm from lambda calculus into combinatory logic

  • Sabine Broda
  • Luís Damas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 990)

Abstract

Systems of lambda calculus are of importance for most knowledge representation theories and in particular for several systems for Natural Language Processing. During the implementation of lambda systems several problems arise that are directly related to the presence of bound variables. These problems can be avoided using translations from lambda calculus into combinatory systems, which give origin to extremely simple reduction machines. In this article we present and prove the correctness of a translation algorithm, that, when compared with other systems, has quite good properties in terms of memory space as well as in terms of length of evaluations.

Keywords

Combinatory Logic Lambda Calculus Knowledge Representation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Sabine Broda
    • 1
  • Luís Damas
    • 1
  1. 1.LIACC, Universidade do PortoPortoPortugal

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