The complexity of β-reduction in low orders

  • Aleksy Schubert
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2044)


This paper presents the complexity of β-reduction for redexes of order 1; 2 and 3. It concludes with the following results — evaluation of Boolean expressions can be reduced to β-reduction of order 1 and β-reduction of order 1 is in O(n log n), β-reduction of order 2 is complete for PTIME, and β-reduction of order 3 is complete for PSPACE.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Aleksy Schubert
    • 1
  1. 1.Institute of InformaticsWarsaw UniversityWarsaw

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