Axioms for Recursion in Call-by-Value

(Extended Abstract)
  • Masahito Hasegawa
  • Yoshihiko Kakutani
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2030)


We propose an axiomatization of fixpoint operators in typed call-by-value programming languages, and give its justifications in two ways. First, it is shown to be sound and complete for the notion of uniform T-fixpoint operators of Simpson and Plotkin. Second, the axioms precisely account for Filinski’s fixpoint operator derived from an iterator (infinite loop constructor) in the presence of first-class controls, provided that we define the uniformity principle on such an iterator via a notion of effect-freeness (centrality). We also investigate how these two results are related in terms of the underlying categorical models.


Categorical Semantic Typing Rule Bijective Correspondence Stable Uniform Algebra Morphism 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Masahito Hasegawa
    • 1
  • Yoshihiko Kakutani
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityJapan

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