Effective longest and infinite reduction paths in untyped λ-calculi

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1059)


A maximal reduction strategy in untyped λ-calculus computes for a term a longest (finite or infinite) reduction path. Some types of reduction strategies in untyped λ-calculus have been studied, but maximal strategies have received less attention. We give a systematic study of maximal strategies, recasting the few known results in our framework and giving a number of new results, the most important of which is an effective maximal strategy in λΒη. We also present a number of applications illustrating the relevance and usefulness of maximal strategies.


λ-calculus reduction strategies effectiveness 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  1. 1.Faculty of Mathematics & InformaticsCatholic University of Nijmegen (KUN)The Netherlands
  2. 2.Department of Computer ScienceUniversity of Copenhagen (DIKU)The Netherlands

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